andrzejPTOK

Contents

Employment

  • Since December 2020 - associate professor (pl: prof. nadz.) in Department of Computational Materials Research, Institute of Nuclear Physics, Polish Academy of Sciences, Krakow (Poland) Link
  • June 2015 - October 2020 - assistant professor (pl: adiunkt) in Department of Computational Materials Research, Institute of Nuclear Physics, Polish Academy of Sciences, Krakow (Poland) Link
  • October 2016 - September 2017 - post-doc, Condensed Matter Theory Department, Marie Curie-Sklodowska University, Lublin (Poland) Link
  • March 2015 - May 2015 - assistant professor (pl: adiunkt) in Department of Theoretical Physics, Institute of Physics, University of Silesia, Katowice (Poland) Link
  • September 2007 - August 2015 - teacher of physics and technical subjects in "Meritum" Technical and Grammar Secondary School, Siemianowcie Slaskie (Poland)

Education and academic degrees

  • March 2020 Higher doctoral degree (habilitation), Institute of Nuclear Physics, Polish Academy of Sciences, Krakow (Poland)
  • October 2012 - April 2013 Postgraduate Diploma in Mechatronics at University of Mechatronics, Katowice (Poland)
  • October 2007 - June 2012 Doctorate in Physics at University of Silesia, Katowice (Poland), Ph.D. thesis Mechanisms stabilizing the superconducting Fulde-Ferrell-Larkin-Ovchinnikov phase, Supervisor: Prof. Marcin Mierzejewski (University of Silesia, Katowice, Poland), Referee: Prof. Wladyslaw Borgiel (University of Silesia, Katowice, Poland) and Prof. Grzegorz Pawlowski (Adam Mickiewicz University, Poznan, Poland)
  • October 2002 - June 2007 Physics Studies at University of Silesia, Katowice (Poland), Master's degree, Diploma thesis Influence of magnetic field on the superconductivity in the Penson-Kolb-Hubbard model with Prof. Marcin Mierzejewski
  • October 1999 - June 2003 Technical School of Electronics at "Meritum" Technical and Grammar Secondary School, Siemianowcie Slaskie (Poland), Electronic technician degree

Membership

  • Polish Physical Society (PL)
  • American Physical Society (USA)
  • Institute of Physics (UK)

Research

Additional information

Obtaining a thermodynamically accurate phase diagram through numerical calculations is a computationally expensive problem that is crucially important to understanding the complex phenomena of solid state physics, such as superconductivity. Some calculations we accelerated through the use of modern GPUs. We illustrate this with a concrete example of free energy calculation in multi-band iron-based superconductors, known to exhibit a superconducting state with oscillating order parameter. Our approach can also be used for classical BCS-type superconductors. With a customized algorithm and compiler tuning we are able to achieve a 19x speedup compared to the CPU (119x compared to a single CPU core), reducing calculation time from minutes to mere seconds, enabling the analysis of larger systems and the elimination of finite size effects. Computer Physics Communications 192, 220 (2015)

The effects of a single non-magnetic impurity on superconducting states in the Penson-Kolb-Hubbard model have been analyzed. We analysed both signs of pair hopping, which correspond to s-wave and eta-wave superconductivity. Our results show that an enhancement of the local superconducting gap at the impurity-site occurs for both cases. We obtained that Cooper pairs are scattered (at the impurity site) into the states which are from the neighborhoods of the states, which are commensurate ones with the crystal lattice. Additionally, in the eta-phase there are peaks in the local-energy gap (in momentum space), which are connected with long-range oscillations in the spatial distribution of the energy gap, superconducting order parameter as well as effective pairing potential. Our results can be contrasted with the experiment and predicts how to experimentally differentiate these two different symmetries of superconducting order parameter by scanning tunneling microscopy technique. Superconductor Science and Technology 28, 045022 (2015)

Iron based superconductors are characterized by the s+/- gap symmetry, where the gap changes its sign between pockets of the Fermi surface. We discuss another sign change mechanism of the superconducting order parameter - the interband Cooper pairs hopping interaction. In the minimal two-orbital model of iron based superconductors we show that this interaction can lead to a change of the sign of the intraband superconducting order parameter regardless of its symmetry. Our article entitled Change of the sign of superconducting intraband order parameters induced by interband pair hopping interaction in iron-based high-temperature superconductors by A. Ptok, D. Crivelli, and K.J. Kapcia Superconductor Science and Technology 28, 045010 (2015) has been selected by Superconductor Science and Technology Editorial Team as one of the most outstanding papers in 2015: 2015 Highlights authors

Fe-base superconductors (FeSC) exhibit many characteristic features of systems in which we can expect the existence of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase. Using a minimal two-band model for FeSC, we conducted a numerical study of FFLO phase in multi-band systems. The static Cooper pair susceptibility suggests that we can expect the system to prefer the state with nonzero Cooper pair momenta (the FFLO phase) regardless of the order parameter symmetry. Journal of Low Temperature Physics 172, 226 (2013) Moreover, the FFLO state can be ground state of the system with s+/- in extermal magnetic filed above critical magnetic field. The European Physical Journal B 87, 2 (2014) It is also true in models with a greater number of bands. Acta Physica Polonica A 126, A16 (2014)

We investigated the mutual enhancement of magnetism and the FFLO order in CeCoIn5. We demonstrated that under particular conditions magnetic and superconducting orders can cooperate in the sense that the presence of superconductivity can enhance the tendency toward the formation of magnetic order and the presence of magnetic order can enhance the tendency toward the Cooper pair formation. Physical Review B 80, 174525 (2009) We also demonstrated that these two mechanisms (spin density wave and superconductivity) are less destructive upon s-wave superconductivity when they emerge together. It means that under an external magnetic field, superconductivity may coexists with stronger SDW than in the absence of a magnetic field. Physical Review B 84, 094526 (2011)

Moreover we investigated the FFLO phase in a 2D quantum ring. We find non-trivial distribution of superconducting order parameter in this phase: with angular and radial dependent oscillation. Journal of Superconductivity and Novel Magnetism 25, 1843 (2012)

Next we studied the influence of diagonal and off-diagonal disorder on the FFLO phase. We demonstarted that the Larkin-Ovchinnikov phase may be unstable against formation of the FFLO phase with a much more complicated spatial profile of the superconducting order parameter. Acta Physica Polonica A 118, 420 (2010)

The role of pair hopping interaction was studied. In the case of bipartite square lattice, the system splits into two sublattices, whereas for triangular lattices there are three sublattices. Acta Physica Polonica A 114, 209 (2008) Therefore, in the repulsive Penson-Kolb model the total momentum of electrons forming the Cooper pairs strongly depends on the geometry of the system. Moreover, we find the two kinds of the Fulde-Ferrell-Larkin-Ovchinnikov phase originate from the BCS and ETA phase, with different period of modulations. Journal of Physics: Condensed Matter 21, 295601 (2009)

Grants and Awards

  1. FUGA 5 grant: Study of the influence of an inmpurity on a system with spin-orbit coupling in the real space, Role: PI, Founder: National Science Center (NCN), Poland, Grant ID: 2016/20/S/ST3/00274; Assigned resources: 166000 PLN (equivalent 41 000 USD) WWW
  2. OPUS 13 grant: Studies on structural and dynamical properties of strongly correlated transition-metal systems and nanostructures , Role: Co-investigator, Founder: National Science Center (NCN), Poland, Grant ID: 2017/25/B/ST3/02586; Assigned resources: 633400 PLN (equivalent 140 000 USD) WWW
  3. OPUS 12 grant: Dynamics of non-homogenous quantum systems with multi-body interactions, Role: Co-investigator, Founder: National Science Center (NCN), Poland, Grant ID: 2016/23/B/ST3/00647; Assigned resources: 598 050 PLN (equivalent 160 000 USD)
  4. SONATA 11 grant: Properties of transition metal adatoms in semiconductors with larg gap and three-dimensional topological insulators, Role: Co-investigator, Founder: National Science Center (NCN), Poland, Grant ID: 2016/21/D/ST3/03385; Assigned resources: 201 350 PLN (equivalent 50 000 USD)
  5. SONATINA 1 grant: Insulator-metal transitions in strongly correlated electron systems with longer-range interactions , Role: Co-investigator, Founder: National Science Center (NCN), Poland, Grant ID: 2017/24/C/ST3/00276; Assigned resources: 626 572 PLN (equivalent 160 000 USD) WWW

Awards

  1. 2021 Outstanding Reviewer for Journal of Physics: Condensed Matter for 2020, in recognition of the high quality and timeliness of my reviews during the year (certificate), IoP website
  2. 2020 IOP trusted reviewer status in recognition of an exceptionally high level of peer review competency (certificate)
  3. 2019 Scholarships of the Minister of Science and Higher Education (Poland) for outstanding young scientists
  4. 2018 Henry Niewodniczanski Scientific Awards of Institute of Nuclear Physics Polish Academy of Sciences in Krakow for a series of 14 papers about superconducting and superfluid systems in the presence of the magnetic field, disorder and spin-orbit coupling

Lectures

  1. Ab initio studies of chiral phonons, Marian Smoluchowski Institute of Physics, Jagiellonian University in Krakow (Poland) - 8th January 2024. Inviting: prof. A. M. Oles
  2. Electronic band structure - Experimental observations v. theoretical calculations, Laboratoire de physique des Solides (LPS) - Universite Paris-Saclay (France) - 9th November 2023. Inviting: prof. Pascal Simon
  3. Ab initio studies of chiral phonons, University of Zurich (Switzerland) - 31th May 2023. Inviting: prof. Johan Chang
  4. Ab initio studies of chiral phonons, Laboratoire de physique des Solides (LPS) - Universite Paris-Saclay (France) - 25th May 2023. Inviting: prof. Pascal Simon
  5. Chiral phonons, Wroclaw University of Science and Technology, Wroclaw (Poland) - 26th October 2022. Inviting: prof. Marcin Mierzejewski
  6. Chiral phonons - about atoms circulating in orbits, Polish Physical Society (Katowice Branch), Katowice (Poland) - 21th April 2022. Inviting: dr. Pawel Zajdel
  7. Chiral phonons in CoSn-like kagome metals, MagTop Topological Materials Seminars, Institute of Physics PAS, Warszawa (Poland) - 17th June 2021. Inviting: dr. Timo Hyart
  8. Atypical heavy fermions system CeRh2As2, Marian Smoluchowski Institute of Physics, Jagiellonian University in Krakow (Poland) - 22th March 2021. Inviting: prof. A. M. Oles
  9. Realization of the nontrivial topological phase in low dimensional structures, Institute of Low Temperature and Structure Research, Polish Academy of Sciences, Wroclaw (Poland) - 9th Dectembet 2020. Inviting: prof. D. Kaczorowski
  10. Tight binding models of real materials and their applications, Marian Smoluchowski Institute of Physics, Jagiellonian University in Krakow (Poland) - 30th November 2020. Inviting: prof. A. M. Oles
  11. Majorana edge states around 2D nanoflakes, Marie Curie-Sklodowska University, Lublin (Poland) - 27th October 2020. Inviting: prof. T. Domanski
  12. Artificial separation of trivial and non-trivial topological superconducting domains, Marian Smoluchowski Institute of Physics, Jagiellonian University in Krakow (Poland) - 15th June 2020. Inviting: prof. A. M. Oles
  13. Unconventional superconductivity in iron-based superconductors, Laboratoire de Physique des Solides, CNRS, Universite Paris-Sud (France) - 18th October 2018. Inviting: prof. P. Simon
  14. Realisation of the Majorana quasiparticle in the low dimensional systems, Marian Smoluchowski Institute of Physics, Jagiellonian University in Krakow (Poland) - 28th February 2018. Inviting: prof. P. Starowicz
  15. Influence of the Majorana quasiparticle on the band structure - topological phase transtion, Marian Smoluchowski Institute of Physics, Jagiellonian University in Krakow (Poland) - 26th February 2018. Inviting: prof. A. M. Oles
  16. Induction of the Majorana quasiparticle in the solid states and optical lattices, Marie Curie-Sklodowska University, Lublin (Poland) - 30th January 2018. Inviting: prof. T. Domanski /Department Seminar/
  17. Realisation of the Majorana quasiparticle in the low dimensional systems, Marie Curie-Sklodowska University, Lublin (Poland) - 9th January 2018. Inviting: prof. T. Domanski
  18. Realisation of the Majorana quasiparticle in the one dimensional systems, Marian Smoluchowski Institute of Physics, Jagiellonian University in Krakow (Poland) - 23th October 2017. Inviting: prof. J. Spalek
  19. The Fulde-Ferrell-Larkin-Ovchinnikov phase in iron-based superconductors, Institut fur Physik, Johannes Gutenberg-Universitat Mainz - 17th May 2017. Inviting: prof. P. G. J. van Dongen
  20. Lifshitz transition, Marian Smoluchowski Institute of Physics, Jagiellonian University in Krakow (Poland) - 13th March 2017. Inviting: prof. A. M. Oles
  21. Computer calculation of physical properties solid states and nanostructures, Marian Smoluchowski Institute of Physics, Jagiellonian University in Krakow (Poland) - 19th May 2016. Inviting: science club of physics students (NKF UJ)
  22. Superconductivity in iron-based system - DFT study, Institute of Physics, University of Silesia, Katowice (Poland) - 06th May 2016. Inviting: prof. M. M. Maska
  23. Unconventional superconductivity in multiband iron-based superconductors, IT4Innovations Center, VSB Tech. Univ. of Ostrava (Czech Republic), 29th March 2016. Inviting: dr D. Legut
  24. Unconventional superconductivity in FeSe - ab initio study,Marian Smoluchowski Institute of Physics, Jagiellonian University in Krakow (Poland) - 21th March 2016. Inviting: prof. A. M. Oles
  25. Unconventional superconductivity in iron-based system, Marie Curie-Sklodowska University, Lublin (Poland) - 13th October 2015. Inviting: prof. T. Domanski
  26. Superconductivity in high magnetic field, Institute of Nuclear Physics, Polish Academy of Sciences, Krakow (Poland) - 28th Aprik 2015. Inviting: prof. P. Piekarz
  27. Superconductivity of the Fulde-Ferrell-Larkin-Ovchinnikov in iron-based systems, Institute of Physics, University of Silesia, Katowice (Poland) - 09th January 2015. Inviting: prof. M. Mierzejewski
  28. Superconductivity of the Fulde-Ferrell-Larkin-Ovchinnikov in iron-based systems, Marian Smoluchowski Institute of Physics, Jagiellonian University in Krakow (Poland) - 04th March 2014. Inviting: prof. J. Spalek
  29. Stabilizing the Fulde-Ferrell-Larkin-Ovchinnikov state, The Leibniz Institute for Solid State and Materials Research Dresden (IFW Dresden) - 16th September 2013 . Inviting: prof. M. Daghofer

Presentations in Conferences

  1. Chiral phonons and phonon drumhead surface state in kagome CoSn-like compounds (invited talk), Superstripes 2024, Ischia 2024, Italy
  2. Chiral phonons and phonon drumhead surface state in kagome CoSn-like compounds (invited talk), IX International Conference on Superconductivity and Magnetism (ICSM2024), Oludeniz-Fethiye 2024, Turkey
  3. Dynamical study of the origin of the charge density wave in AV3Sb5 compounds (invited talk), Superstripes 2023, Ischia 2023, Italy
  4. Shiba states in the systems with density of states singularities (invited talk), VIII International Conference on Superconductivity and Magnetism (ICSM2023), Oludeniz-Fethiye 2023, Turkey
  5. First-principles study of the nontrivial topological phase in chains of 3d transition metals (invited talk), International Conference On Quantum Materials And Technologies (ICQMT2022), Milas-Bodrum 2022, Turkey
  6. Dynamical study of the origin of the charge density wave in AV3Sb5 compounds (invited talk), International Conference On Quantum Materials And Technologies (ICQMT2022), Milas-Bodrum 2022, Turkey
  7. Ab initio study of chiral phonons (invited talk), 20th National Conference on Superconductivity, Lublin 2022, PL
  8. Dynamical study of the origin of the charge density wave in AV3Sb5 (A=K, Rb, Cs) compounds (contributet talk), APS March Meeting 2022, USA
  9. Chiral phonons in honeycomb sublattice of layered CoS-like compounds (poster presentation), APS March Meeting 2022, USA
  10. Artificial separation of trivial and topological superconducting domains (invited talk), Topological Quantum Science, Erice 2021, Italy
  11. Artificial separation of trivial and topological superconducting domains (invited talk), VII International Conference on Superconductivity and Magnetism (ICSM2020), Milas-Bodrum 2021, Turkey
  12. Artificial separation of trivial and topological superconducting domains (contributet talk), Real-space simulations of topological matter and disordered materials CMD29 online series, 2021, UK
  13. Atypical heavy fermions system CeRh2As2 (poster presentation), Correlations inNovel Quantum Materials (CNQM2021), Stuttgart, 2021, Germany
  14. Atypical heavy fermions system CeRh2As2 (contributet talk), Cracow Colloquium on f-electron systems (CCFES2021), Krakow 2021, Poland
  15. First-principles study of the nontrivial topological phase in chains of 3d transition metals deposited at superconducting surface (poster presentation), APS March Meeting 2021, USA
  16. First-principles study of the nontrivial topological phase in chains of 3d transition metals deposited at superconducting surface (poster presentation), Coherent order and transport in spin-active systems: Interplay between magnetism and superconductivity, SPICE On-line Workshop 2020, Germany
  17. Artificial separation of trivial and topological superconducting domains (poster presentation), Topological Superconductivity in Quantum Materials, SPICE On-line Workshop 2020, Germany
  18. Majorana bound states in magnetic chain: 'to be or not to be'? (invited talk), Minisymposium on: Recent developments in the theory of topological systems, Lublin 2019, Poland
  19. Formation of the Majorana bound states on defects (poster presentation), Polish-German WE-Heraeus-Seminar on Coherence in Fermionic Matter: Fermion Pairing in Cold Atoms and Superconductors, Bad Honnef 2019, Germany
  20. Artificial separation of trivial and topological superconducting domains (invited talk), XIX National Conference on Superconductivity, Bronislawow 2019, Poland
  21. Formation of the Majorana bound states on defects (poster presentation), Multiscale phenomena in molecular matter (Multis), Krakow 2019, Poland
  22. Formation of the Majorana bound states on defects (invited talk), Superstripes 2019, Ischia 2019, Italy
  23. Formation of the Majorana bound states on defects (poster presentation), Bound states in superconductors and interfaces (BOSSA19), Dresden 2019, Germany
  24. Formation of the Majorana bound states on defects (invited talk), Majorana modes and beyond, Warsaw MagTop 2019, Poland
  25. Formation of the Majorana quasiparticles in the quantum dot-nanoring structure (contributed talk), 42nd International Conference of Theoretical Physics, Ustron 2018, Poland
  26. Formation of the Majorana quasiparticles in the quantum dot-nanoring structure (invited short talk), Exotic Interactions in Quantum Correlated Materials, Krakow 2018, Poland
  27. Magnetic Lifshitz transition (contributed talk), VI International Conference on Superconductivity and Magnetism (ICSM2018), Antalya 2018, Turkey
  28. Majorana bound state in the nanoring-quantum dot structure (poster presentation), New Platforms for Topological Superconductivity with Magnetic Atoms (optima18), Drezden 2018, Germany
  29. Physical properties of KFe2As2 in tetragonal and collapsed tetragonal phase (contributed talk), II Symposium of Computational ab initio Method, Krakow 2018, Poland
  30. Magnetic Lifshitz transition (contributed talk), XVIII National Conference on Superconductivity, Krynica Morska 2017, Poland
  31. Magnetic Lifshitz transition in multi-band iron-based superconductors (poster presentation), XXXVI Dynamical Properties of Solids (DyProSo), Krakow 2017, Poland
  32. Magnetic Lifshitz transition in iron-based superconductors (contributed talk), The European Conference Physics of Magnetism 2017 (PM'17), Poznan 2017, Poland
  33. The ab initio study of unconventional superconductivity in CeCoIn5 and FeSe (contributed talk), Superstripes 2017, Ischia 2017, Italy
  34. The Fulde-Ferrell-Larkin-Ovchinnikov phase in iron-based superconductors (contributed talk), conference From Spins to Cooper Pairs and Back: 2nd International Conference on Magnetism and Superconductivity in Selected Systems (StoCP-2016), Zakopane 2016, Poland
  35. The Fulde-Ferrell-Larkin-Ovchinnikov phase in iron-based superconductors (poster presentation), Workshop on Iron-based superconductors (IBS2016) of SPP1458, Munich 2016, Germany
  36. The ab initio study of unconventional superconductivity in FeSe (contributed talk), XL International Conference of Theoretical Physics, Ustron 2016, Poland
  37. Unconventional superconductivity in multiband iron-based superconductors (poster presentation), International Workshop FFLO-Phase in Quantum Liquids, Quantum Gases, and Nuclear Matter (FFLO16), Dresden 2016, Germany
  38. Tuning of superconductivity by spin orbit coupling (contributed talk), International Conference on Superconductivity and Magnetism (ICSM2016), Fethiye 2016, Turkey
  39. Superconductivity in FeSe single layer - ab initio study of Cooper pair susceptibility (contributed talk), Symposium of Computational ab initio Method, Krakow 2016, Poland
  40. Unconventional superconductivity state in iron-based materials - specific heat study (contributed talk), XVII National Conference on Superconductivity, Karpacz 2015, Poland
  41. Multiple phase transitions in Pauli limited iron-based superconductors (poster presentation), XI International Conference on Materials and Mechanisms of Superconductivity (M2S 2015), Geneva 2015, Switzerland
  42. Iron based superconductors - the problem of symmetry and pairing (contributed talk), conference From Spins to Cooper Pairs: New Physics of the Spins, Zakopane 2014, Poland
  43. Superconductivity in inhomogeneous systems - the Chebyshev-Bogoliubov-de Gennes method (poster presentation), XXXVIII International Conference of Theoretical Physics, Ustron 2014, Poland
  44. The Fulde-Ferrell-Larkin-Ovchinnikov state in iron-pnictides (contributed talk), XVI National Conference on Superconductivity, Zakopane 2013, Poland
  45. The Fulde-Ferrell-Larkin-Ovchinnikov state in multi-band systems (poster presentation), XXXVI International Conference of Theoretical Physics, Ustron 2012, Poland
  46. Coexistence of long-range magnetic order and unconventional superconductivity (poster presentation), XXXIV International Conference of Theoretical Physics, Ustron 2010, Poland
  47. The Fulde-Ferrell-Larkin-Ovchinnikov superconductivity in disordered systems (poster presentation), XIV National Conference on Superconductivity, Ostrow Wielkopolski 2009, Poland
  48. Fulde-Ferrell-Larkin-Ovchinnikov phase in the presence of pair hopping interaction (poster presentation), XXXII International Conference of Theoretical Physics, Ustron 2008, Poland
  49. Superconductivity in the Penson-Kolb model on a triangular lattice (poster presentation), XIII National Conference on Superconductivity, Ladek Zdroj 2007, Poland

Other Conferences

  1. Band Topology in Quantum Magnets: From nontrivial excitations to non-Hermitian topology and spintronics, Dresden 2022, Germany
  2. Autumn School on Correlated Electrons: Simulating Correlations with Computers, Julich 2021, Germany
  3. YOUNG MULTIS - Multiscale Phenomena in Condensed Matter, Krakow 2021, Poland
  4. 5th Workshop on ab initio phonon calculations, Krakow 2019, Poland
  5. Autumn School on Correlated Electrons, DMFT: Many-Body Methods for Real Materials, Julich 2019, Germany
  6. Autumn School on Correlated Electrons, DMFT: From Infinite Dimensions to Real Materials, Julich 2018, Germany
  7. Symposium on the physics of Majorana bound states, Warsaw 2018, Poland
  8. The 47emes Journees des Actinides (47 JdA), Karpacz 2017, Poland
  9. Workshop on the two-dimensional chalcogenides: exotic electronic orders, superconductivity and magnetism, IFW Dresden 2015, Germany
  10. 4th Workshop on ab initio phonon calculations, Krakow 2014, Poland

Publications

    • 2024

  1. Electronic structure of a nodal line semimetal candidate TbSbTe, I. Bin Ellus, J. F. Casey, S. Regmi, V. Buturlim, A. P. Sakhya, M. Sprague, M. I. Mondal, N. Valadez, A. K. Kumay, Y. Venkateswara, S. Dan, T. Romanova, A. K. Pathak, K. Gofryk, A. Ptok, D. Kaczorowski, and M. Neupane, Scientific Reports under review, arXiv:2406.09054
  2. Electronic properties and surface states of CeRh2As2, K. J. Kapcia and A. Ptok, Physical Review Materials under review, arXiv:2311.01037
  3. Stability of AuSn4 compound in low temperature, S. Yadav, S. Sekh, and A. Ptok, Physical Review Materials under review arXiv:2309.10571
  4. Ruthenium dioxide RuO2: effect of the altermagnetism on the physical properties, A. Ptok, Physical Review B under review arXiv:2309.02421



  5. Revealing the intrinsic electronic structure and complex fermiology of YRu2Si2 using angle-resolved photoemission spectroscopy, A. P. Sakhya, S. Regmi, M. Sprague, M. I. Mondal, I. B. Elius, N. Valadez, A. Ptok, D. Kaczorowski, and M. Neupane, Physical Review B 110, 125104 (2024), PDF, arXiv:2304.07871
  6. Lattice dynamics study of electron-correlation-induced charge density wave in antiferromagnetic kagome metal FeGe, A. Ptok, S. Basak, A. Kobialka, M. Sternik, J. Lazewski, P. T. Jochym, A. M. Oles, and P. Piekarz, Physical Review Materials Letter 8, L080601 (2024), PDF, arXiv:2403.00297
  7. First-principles investigations of structural, electronic and optical properties of ternary chalcopyrite semiconductors CuInY2 (Y=S,Se and Te), I. Mahraj and A. Ptok, Computational Condensed Matter 40, e00935 (2024), PDF
  8. Dirac Dispersions and Fermi Surface Nesting in LaCuSb2, M. Rosmus, N. Olszowska, Z. Bukowski, P. Piekarz, A. Ptok, P. Starowicz, Journal of Alloys and Compounds 1002, 175298 (2024), PDF, arXiv:2403.17737
  9. Comment on ''Fully gapped superconductivity and topological aspects of the noncentrosymmetric superconductor TaReSi'', A. Ptok, Physical Review B 109, 216501 (2024), PDF, arXiv:2406.17920
  10. Unveiling the interplay of magnetic order and electronic band structure in the evolution of the anomalous Hall effect in single crystalline MnPtGa, G. Dwari, S. Dan, B. B. Maity, S. Ramakrishnan, A. Lakshan, R. Kulkarni, V. Sharma, S. Nandi, P. P. Jana, A. Ptok, and A. Thamizhavel, Physical Review B 110, 045111 (2024), PDF
  11. Electronic and dynamical properties of cobalt monogermanide CoGe phases under pressure, S. Basak, A. Kobialka, M. Sternik, J. Lazewski, P. T. Jochym, A. M. Oles, P. Piekarz, and A. Ptok, Computational Materials Science 244, 113149 (2024), PDF, arXiv:2403.07580
  12. Insulating half-Heusler TmPdSb with unusual band order and metallic surface states, S. Dan, A. Ptok, O. Pavlosiuk. K. singh. P. Wisniewski, and D. Kaczorowski, Advanced Functional Materials 34, 2402415 (2024), PDF, arXiv:2406.10094
  13. Evidences for local non-centrosymmetricity and strong phonon anomaly in EuCu2As2: A Raman spectroscopy and lattice dynamics study, D. Swain, M. D. Sarkar, A. Ptok, G.Vaitheeswaran, A. Roy, and S. D. Das, Journal of Physics: Condensed Matter 36, 335902 (2024), PDF
  14. Complex fermiology and electronic structure of antiferromagnet EuSnP, M. Sprague, A. P. Sakhya, S. Regmi, M. I. Mondal, I. Bin Elius, N. Valadez, K. Booth, T. Romanova, A. Ptok, D. Kaczorowski, and M. Neupane, Physical Review Materials 8, 054411 (2024), PDF, arXiv:2311.02785
  15. Electronic structure in a rare-earth based nodal-line semimetal candidate PrSbTe, S. Regmi, I. Bin Elius, A. P. Sakhya, M. Sprague, M. I. Mondal, N. Valadez, V. Buturlim, K. Booth, T. Romanova, K. Gofryk, A. Ptok, D. Kaczorowski, and M. Neupane, Physical Review Materials Letter 8, L041201 (2024), PDF, arXiv:2310.02184
  16. Lattice dynamics of altermagnetic ruthenium oxide RuO2, S. Basak and A. Ptok, Acta Physica Polonica A 145, 93 (2024), PDF, arXiv:2403.07609
  17. Spin-polarized superconducting phase in semiconducting system with next-nearest-neighbor hopping on the honeycomb lattice, A. Cichy, K.J. Kapcia, and A. Ptok, Journal of Magnetism and Magnetic Materials 589, 171522 (2024), PDF, arXiv:2308.04547
    • 2023

  18. Phononic drumhead surface state in the distorted kagome compound RhPb, A. Ptok, W.R. Meier, A. Kobialka, S. Basak, M. Sternik, J. Lazewski, P.T. Jochym, M.A. McGuire, B.C. Sales, H. Miao, P. Piekarz, and A.M. Oles, Phys. Rev. Research 5, 043231 (2023), PDF, arXiv:2309.02419
  19. Anisotropic positive linear and sub-linear magnetoresistivity in the cubic type-II Dirac metal Pd3In7, A. F. Savvidou, A. Ptok, G. Sharma, B. Casas, J. K. Clark, V. M. Li, M. Shatruk, S. Tewari, and L. Balicas, npj Quantum Materials 8, 68 (2023), PDF, arXiv:2311.02212
  20. Observation of momentum-dependent charge density wave gap in a layered antiferromagnet GdTe3, S. Regmi, I. Bin Elius, A. P. Sakhya, D. Jeff, M. Sprague, M. I. Mondal, D. Jarrett, N. Valadez, A. Agosto, T. Romanova, J.-H. Chu, S. I. Khondaker, A. Ptok, D. Kaczorowski, and M. Neupane, Scientific Reports 13, 18618 (2023), PDF, arXiv:2306.04447
  21. Tuning the topological character of half-Heusler systems: A comparative study on YTBi (T = Pd, Pt), J. C. Souza, M. V. Ale Crivillero, H. Dawczak-Debicki, A. Ptok, P. G. Pagliuso, and S. Wirth, Physical Review B 108, 165154 (2023), PDF, arXiv:2310.15708
  22. Chiral phonon in the cubic system based on the Laves phase of ABi2 (A=K, Rb, Cs), S. Basak, P. Piekarz, and A. Ptok, Computational Materials Science 230, 112545 (2023), PDF, arXiv:2208.14041,
  23. Superexchange interaction in insulating EuZn2P2, K. Singh, S. Dan, A. Ptok, T. A. Zaleski, O. Pavlosiuk, P. Wiesniewski, and D. Kaczorowski, Physical Review B 108, 054402 (2023), PDF, arXiv:2307.11924
  24. Dynamical Properties of T3Pb2Ch2 (T=Pd,Pt and Ch=S,Se) with Transition Metal Kagome Net, S. Basak, A. Kobialka, and A. Ptok, Advanced Physics Research 2, 2300025 (2023), PDF, arXiv:2303.13328
  25. Observation of gapless nodal-line states in NdSbTe, S. Regmi, R. Smith, A. P. Sakhya, M. Sprague, M. I. Mondal, I. Bin Elius, N. Valadez, A. Ptok, D. Kaczorowski, and M. Neupane, Physical Review Materials 7, 044202 (2023), PDF, arXiv:2210.00163,
  26. Chiral phonons in binary compounds ABi (A = K, Rb, Cs) with P21/c structure, J. Skorka, K.J. Kapcia, P.T. Jochym, and A. Ptok, Materials Today Communications 35, 105888 (2023), arXiv:2203.05524,
  27. Termination dependence of the surface states in Pb2Pd, S. Basak and A. Ptok, Acta Physica Polonica A 143, 195 (2023), PDF, arXiv:2208.08575
  28. Majorana bound states in the presence of the half-smeared potential, S. Basak and A. Ptok, Acta Physica Polonica A 143, 164 (2023), PDF, arXiv:2208.08336
  29. Electronic properties and surface states of RbNi2Se2, S. Basak, P. Piekarz, and A. Ptok, Physica B 654, 414697 (2023), PDF, arXiv:2210.13280,
  30. Influence of f electrons on the electronic band structure of rare-earth nickelates, A. Ptok, S. Basak, P. Piekarz, and A. M. Oles, Condens. Matter 8, 19 (2023), PDF, arXiv:2302.03381
  31. Theoretical study of dynamical and electronic properties of noncentrosymmetric superconductor NbReSi, S. Basak and A. Ptok, Materials 16, 78 (2023) Editor's Choice, PDF, arXiv:2212.08000,
    • 2022

  32. Influence of anharmonicity on the negative thermal expansion of alpha-Sn, P.T. Jochym, R.K.Kremer, J. Lazewski, A. Ptok, P. Piekarz, E. Brucher, and A.M. Oles, Physical Review Materials 6, 113601 (2022), PDF
  33. Electronic band structure and surface states in Dirac semimetal LaAgSb2, M. Rosmus, N. Olszowska, Z. Bukowski, P. Starowicz, P. Piekarz, and A. Ptok, Materials 15, 7168 (2022) Editor's Choice, PDF, arXiv:2204.12961
  34. Dynamical study of the origin of the charge density wave in AV3Sb5 (A=K, Rb, Cs) compounds, A. Ptok, A. Kobialka, M. Sternik, J. Lazewski, P.T. Jochym, A.M. Oles, and P. Piekarz, Physical Review B 105, 235134 (2022), PDF, arXiv:2110.09816
  35. Connection between the semiconductor-superconductor transition and the spin-polarized superconducting phase in the honeycomb lattice, A. Cichy, K.J. Kapcia, and A. Ptok, Physical Review B 105, 214510 (2022), PDF, arXiv:2202.13811
  36. Dynamical properties of the magnetic topological insulator TBi2Te4 (T=Mn, Fe): phonons dispersion, Raman active modes, and chiral phonons study, A. Kobialka, M. Sternik, and A. Ptok, Physical Review B 105, 214304 (2022), PDF, arXiv:2203.03337
  37. Shiba states in systems with density of states singularities, S. Basak and A. Ptok, Physical Review B 105, 094204 (2022), PDF, arXiv:2203.17108
  38. Ab initio study of chiral phonons in ternary YAlSi compound, S. Basak and A. Ptok, Crystals 12, 436 (2022), PDF
    • 2021

  39. Chiral phonons in the honeycomb sublattice of layered CoSn-like compounds, A. Ptok, A. Kobialka, M. Sternik, J. Lazewski, P. T. Jochym, A. M. Oles, S. Stankov, and P. Piekarz, Physical Review B 104, 054305 (2021), PDF, arXiv:2106.03740
  40. Identification of the Majorana edge modes in tight-binding systems based on the Krylov method, A. Wieckowski, A. Ptok, M. Mierzejewski, and M. Kupczynski, Computer Physics Communications 269, 108135 (2021), PDF, arXiv:2006.10153
  41. Electronic and dynamical properties of CeRh2As2: Role of Rh2As2 layers and expected orbital order, A. Ptok, K. J. Kapcia, P. T. Jochym, J. Lazewski, A. M. Oles, and P. Piekarz, Physical Review B Letter 104, L041109 (2021), PDF, arXiv:2102.02735
  42. Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order, A. Kobialka, N. Sedlmayr, and A. Ptok, Physical Review B 103, 125110 (2021), PDF, arXiv:2008.02562
  43. Electronic properties of Bi2Se3 dopped by 3d transition metal (Mn, Fe, Co, or Ni) ions, A. Ptok, K. J. Kapcia, and A. Ciechan, Journal of Physics: Condensed Matter 33, 065501 (2021), PDF, arXiv:2009.10227
    • 2020

  44. Probing the chirality of one-dimensional Majorana edge states around a two-dimensional nanoflake in a superconductor, A. Ptok, D. J. Alspaugh, Sz. Glodzik, A. Kobialka, A. M. Oles, P. Simon, and P. Piekarz, Physical Review B 102, 245405 (2020), PDF, arXiv:2008.11807
  45. Lattice dynamics of endotaxial silicide nanowires, J. Kalt, M. Sternik, B. Krause, I. Sergueev, M. Mikolasek, D. Merkel, D. Bessas, O. Sikora, T. Vitova, J. Gottlicher, R. Steininger, P. Jochym, A. Ptok, O. Leupold, H.-Ch. Wille, A. Chumakov, P. Piekarz, K. Parlinski, T. Baumbach, and S. Stankov, Physical Review B 102, 195414 (2020), PDF 2010.11572
  46. Origin of the monoclinic distortion and its impact on the electronic properties in KO2, O. Sikora, D. Gotfryd, A. Ptok, M. Sternik, K. Wohlfeld, A. M. Oles, and P. Piekarz, Physical Review B 102, 085129 (2020), PDF, arXiv:2007.15544
  47. Discovery of a low-temperature orthorhombic phase of the Cd2Re2O7 superconductor, K.J. Kapcia, M. Reedyk, M. Hajialamdari, A. Ptok, P.Piekarz, F.S. Razavi, A.M. Oles, and R.K. Kremer, Physical Review Research 2, 033108 (2020), PDF, arXiv:1911.11057
  48. Effects of pair-hopping coupling on properties of multi-band iron-based superconductors, A. Ptok, K. J. Kapcia, and P. Piekarz, Frontiers in Physics 8, 284 (2020), PDF
  49. Majorana bound state leakage to impurity in Su-Schrieffer-Heeger-Rashba scenario, A. Kobialka and A. Ptok, Acta Physica Polonica A 138, 673 (2020), PDF, arXiv:2004.00465
  50. Majorana bound states and zero-bias conductance peaks in superconductor/semiconductor nanowire devices, A. Kobialka and A. Ptok, Acta Physica Polonica A 138, 681 (2020), PDF, arXiv:2004.12249
  51. Dynamics of quantum annealers: Ising model with transverse field study, A. Wieckowski and A. Ptok, Acta Physica Polonica A 138, 686 (2020), PDF
  52. Superconductivity of KFe2As2 under pressure: ab initio study of tetragonal and collapsed tetragonal phases, A. Ptok, K.J. Kapcia, M. Sternik, and P.Piekarz, Journal of Superconductivity and Novel Magnetism 33, 2347 (2020), PDF
  53. First-principles study of the nontrivial topological phase in chains of 3d transition metals, A. Kobialka, P. Piekarz, A.M. Oles, and A. Ptok, Physical Review B 101, 205143 (2020), PDF, arXiv:1911.13039,
  54. Superfluidity of fermionic pairs in a harmonic trap. Comparative studies: Local Density Approximation and Bogoliubov-de Gennes solutions, A. Cichy and A. Ptok, Journal of Physics Communications 4, 055006 (2020), PDF
  55. Lattice dynamics and polarization-dependent phonon damping in alpha-phase FeSi2 nanostructures, J. Kalt, M. Sternik, B. Krause, I. Sergueev, M. Mikolasek, D. Bessas, O. Sikora, T. Vitova, J. Gottlicher, R. Steininger, P.T. Jochym, A. Ptok, O. Leupold, H.C. Wille, A.I. Chumakov, P. Piekarz, K. Parlinski, T. Baumbach, and S. Stankov, Physical Review B 101, 165406 (2020), PDF, arXiv:2003.02969
    • 2019

  56. Electronic and lattice properties of noncentrosymmetric superconductors ThTSi (T = Co, Ir, Ni, and Pt), A. Ptok, K. Domieracki, K.J. Kapcia, J. Lazewski, P.T. Jochym, M. Sternik, P.Piekarz, and D. Kaczorowski, Physical Review B 100, 165130 (2019), PDF, arXiv:1909.12669, Fig. 4 in Phys. Rev. B Kaleidoscope.
  57. Influence of long-range interaction on Majorana zero modes, A. Wieckowski and A. Ptok, Physical Review B 100, 144510 (2019), PDF, arXiv:1910.00872
  58. Delocalisation of Majorana quasiparticles in plaquette-nanowire hybrid system, A. Kobialka, T. Domanski, and A. Ptok, Scientific Reports 9, 12933 (2019), PDF, arXiv:1808.05281
  59. Ab initio and nuclear inelastic scattering studies of Fe3Si/GaAs heterostructures, O. Sikora, J. Kalt, M. Sternik, A. Ptok, P.T. Jochym, J. Lazewski, K. Parlinski, P. Piekarz, I. Sergueev, H.C. Wille, J. Herfort, B. Jenichen, T. Baumbach, and S. Stankov, Physical Review B 99, 134303 (2019), PDF, arXiv:1904.04122
  60. Structural, electronic, and dynamical properties of the tetragonal and collapsed tetragonal phases of KFe2As2, A. Ptok, M. Sternik, K. J. Kapcia, and P. Piekarz, Physical Review B 99, 134103 (2019), PDF, arXiv:1903.07953
  61. Phase separations induced by a trapping potential in one-dimensional fermionic systems as a source of core-shell structures, A. Cichy, K. J. Kapcia, and A. Ptok, Scientific Reports 9, 6719 (2019), PDF arXiv:1903.08050
  62. Leakage of the Majorana quasiparticles in Rashba nanowire deposited on superconducting-normal substrate, A. Kobialka and A. Ptok, Acta Physica Polonica A 135, 64 (2019), PDF, arXiv:1801.03693
  63. Bound states induced by the ferromagnetic dimer in a triangular lattice, Sz. Glodzik and A. Ptok, Acta Physica Polonica A 135, 60 (2019), PDF, arXiv:1801.03559
  64. Lifshitz transitions induced by magnetic field, A. Ptok, Acta Physica Polonica A 135, 55 (2019), PDF, arXiv:1801.03556
  65. Electrostatic formation of the Majorana quasiparticles in the quantum dot-nanoring structure, A. Kobialka and A. Ptok, Journal of Physics: Condensed Matter 31, 185302 (2019), PDF, arXiv:1801.08021
    • 2018

  66. Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices, A. Ptok, A. Cichy, and T. Domanski, Journal of Physics: Condensed Matter 30, 355602 (2018), PDF, arXiv:1706.04155
  67. Reentrant Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in the honeycomb lattice, A. Cichy and A. Ptok, Physical Review A 97, 053619 (2018), PDF, arXiv:1710.06395, Fig. 2 in Phys. Rev. A Kaleidoscope.
  68. Interplay between pairing and correlations in spin-polarized bound states, Sz. Glodzik, A. Kobialka, A. Gorczyca-Goraj, A. Ptok, G. Gorski, M. M. Maska, and T. Domanski, Beilstein Journal of Nanotechnology 9, 1370 (2018), PDF, arXiv:1712.03172
  69. Counting defects in quantum computers with Graphics Processing Units, B. Gardas and A. Ptok, Journal Of Computational Physics 366, 320 (2018), PDF,
  70. Superconducting monolayer deposited on substrate: Effects of the spin-orbit coupling induced by proximity effects, A. Ptok, K. Rodriguez, and Konrad J. Kapcia, Physical Review Materials 2, 024801 (2018), PDF, arXiv:1801.08055
  71. Phase transitions in quasi-one-dimensional system with unconventional superconductivity, A. Ptok, A. Cichy, K. Rodriguez, and K. J. Kapcia, Journal of Superconductivity and Novel Magnetism 31, 697 (2018), PDF, arXiv:1710.01617
  72. Quantum phase transition induced by magnetic impurity - triangular lattice with on-site pairing study, Sz. Glodzik and A. Ptok, Journal of Superconductivity and Novel Magnetism 31, 647 (2018), PDF
    • 2017

  73. Controlling the bound states in a quantum-dot hybrid nanowire, A. Ptok, A. Kobialka, and T. Domanski, Physical Review B 96, 195430 (2017), PDF, arXiv:1710.06387
  74. Yu-Shiba-Rusinov states of impurities in a triangular lattice of NbSe2 with spin-orbit coupling, A. Ptok, Sz. Glodzik, and T. Domanski, Physical Review B 96, 184425 (2017), PDF, arXiv:1707.03257
  75. Influence of the orbital effects on the Majorana quasi-particles in a nanowire, B. Kiczek and A. Ptok, Journal of Physics: Condensed Matter 29, 495301 (2017), PDF
  76. The influence of the dimensionality of the system on the realization of unconventional Fulde-Ferrell-Larkin-Ovchinnikov pairing in ultra-cold Fermi gases, A. Ptok, Journal of Physics: Condensed Matter 29, 475901 (2017), PDF
  77. Diversity of charge orderings in correlated systems, K. J. Kapcia, J. Baranski and A. Ptok, Physical Review E 96, 042104 (2017), PDF, arXiv:1710.01757
  78. The ab initio study of unconventional superconductivity in CeCoIn5 and FeSe, A. Ptok, K. J. Kapcia, P. Piekarz, and A. M. Oles, New Journal of Physics 19, 063039 (2017), PDF, arXiv:1710.01988
  79. Critical behavior in one dimension: Unconventional pairing, phase separation, BEC-BCS crossover, and magnetic Lifshitz transition, A. Ptok, A. Cichy, K. Rodriguez, and K. J. Kapcia, Physical Review A 95, 033613 (2017), PDF, arXiv:1702.02193
  80. Magnetic Lifshitz transition and its consequences in multi-band iron-based superconductors, A. Ptok, K. J. Kapcia, A. Cichy, A. M. Oles, and P. Piekarz, Scientific Reports 7, 41979 (2017), PDF, arXiv:1702.02612
  81. Various charge-ordered states in the extended Hubbard model with on-site attraction in the zero-bandwidth limit, K. J. Kapcia, J. Baranski, S. Robaszkiewicz, and A. Ptok, Journal of Superconductivity and Novel Magnetism 30, 109 (2017), PDF
  82. Influence of finite size effects on the Fulde-Ferrell-Larkin-Ovchinnikov state, A. Ptok and D. Crivelli, Communications in Computational Physics 21, 748 (2017), PDF
    • 2016

  83. Specific heat study of Fulde-Ferrell-Larkin-Ovchinnikov superconducting states in multibands materials - iron-based systems, D. Crivelli and A. Ptok, Acta Physica Polonica A 130, 507 (2016), PDF
  84. Phase separation of superconducting phases in the Penson-Kolb-Hubbard model, K. J. Kapcia, W. Czart, and A. Ptok, Journal of the Physical Society of Japan 85, 044708 (2016), PDF, arXiv:1510.06887
    • 2015

  85. Energetics of an rf SQUID coupled to two thermal reservoirs, B. Gardas, J. Luczka, A. Ptok, and J. Dajka, PLOS ONE 10(12): e0143912, PDF
  86. Multiple phase transitions in Pauli-limited iron-based superconductors, A. Ptok, Journal of Physics: Condensed Matter 27, 482001 (2015) - Fast Track Communication, PDF, arXiv:1508.02740
  87. GPU-based acceleration of free energy calculations in solid state physics, M. Januszewski, A. Ptok, D. Crivelli, and B. Gardas, Computer Physics Communications 192, 220 (2015), PDF, arXiv:1412.8754
  88. Probe-type of superconductivity by impurity in materials with short coherence length: the s-wave and eta-wave phases study, A. Ptok and K. J. Kapcia, Superconductor Science and Technology 28, 045022 (2015), PDF, arXiv:1502.00579
  89. Change of the sign of superconducting intraband order parameters induced by interband pair hopping interaction in iron-based high-temperature superconductors, A. Ptok, D. Crivelli, and K. J. Kapcia, Superconductor Science and Technology 28, 045010 (2015), PDF - selected as 2015 Highlights authors
    • 2014

  90. Unconventional superconductivity in iron-based superconductors in a three-band model, D. Crivelli and A. Ptok, Acta Physica Polonica A 126, A16 (2014), PDF, arXiv:1401.3066
  91. Influence of s+/- symmetry on unconventional superconductivity in pnictides above the Pauli limit - two-band model study, A. Ptok, The European Physical Journal B 87, 2 (2014), PDF, arXiv:1311.5413
    • 2013

  92. The Fulde-Ferrell-Larkin-Ovchinnikov State in Pnictides, A. Ptok and D. Crivelli, Journal of Low Temperature Physics 172, 226 (2013), PDF, arXiv:1304.2389
    • 2012

  93. Squeezing of magnetic flux in nanorings, J. Dajka, A. Ptok, and J. Luczka, Journal of Physics: Condensed Matter 24, 495701 (2012), PDF
  94. The Fulde-Ferrell-Larkin-Ovchinnikov State in Quantum Rings, A. Ptok, Journal of Superconductivity and Novel Magnetism 25, 1843 (2012), PDF
    • 2011

  95. Coexistence of superconductivity and incommensurate magnetic order, A. Ptok, M. M. Maska, and M. Mierzejewski, Physical Review B 84, 094526 (2011), PDF, arXiv:1109.3534
    • 2010

  96. The Fulde-Ferrell-Larkin-Ovchinnikov Superconductivity in Disordered Systems, A. Ptok, Acta Physica Polonica A 118, 420 (2010), PDF
    • 2009

  97. Mutual enhancement of magnetism and Fulde-Ferrell-Larkin-Ovchinnikov superconductivity in CeCoIn5, M. Mierzejewski, A. Ptok, and M. M. Maska, Physical Review B 80, 174525 (2009), PDF
  98. The Fulde-Ferrell-Larkin-Ovchinnikov phase in the presence of pair hopping interaction, A. Ptok, M. M. Maska, and M. Mierzejewski, Journal of Physics: Condensed Matter 21, 295601 (2009), PDF, arXiv:0907.2410
    • 2008

  99. Superconductivity in the Penson-Kolb Model on a Triangular Lattice, A. Ptok and M. Mierzejewski, Acta Physica Polonica A 114, 209 (2008), PDF