Mgr. Andrej Gendiar, PhD

   Position: QUANTUM SIMULATIONS AND COMPUTING GROUP leader
   E-mail: andrej.gendiar@savba.sk
   Tel. (+421 2) 20910718
   Office 118
   Personal webpage: http://quantum.physics.sk/rcqi/index.php?x=home_for&for=gendiar
   2009

List of publications

1. Matej Mosko, Maria Polackova, Roman Krčmár, Andrej Gendiar:
   Vertex Representation of Hyperbolic Tensor Networks | pdf |
   Physical Review E 111, 024105 (2025) [arXiv:2406.03426]
2. Maria Polackova, Andrej Gendiar:
   Anisotropic deformation of the 6-state clock model: Tricritical-point classification | pdf |
   Physica A 624, 128907 (2023) [arXiv:2207.09132]
3. Jozef Genzor, Andrej Gendiar, Tomotoshi Nishino:
   Local and global magnetization on the Sierpiński carpet | pdf |
   Phys. Rev. E 107, 044108 (2023)
4. Roman Krčmár, Andrej Gendiar, and Ladislav Šamaj:
   Ising ferromagnets and antiferromagnets in an imaginary magnetic field | pdf |
   Phys. Rev. E 105, 054112 (2022) [arXiv:2112.09536]
5. Takuya Eguchi, Satoshi Oga, Hosho Katsura, Andrej Gendiar, and Tomotoshi Nishino:
   Energy Scale Deformation on Regular Polyhedra | pdf |
   J. Phys. Soc. Jpn. 91, 034001 (2022) [arXiv:2109.10565]
6. Jozef Genzor, Andrej Gendiar, Ying-Jer Kao:
   J1-J2 fractal studied by multirecursion tensor-network method | pdf |
   Phys. Rev. E 105, 024124 (2022) [arXiv:2107.11406]
7. Y. Sasagawa, H. Ueda, A. Gendiar, J. Genzor, T. Nishino:
   Entanglement Entropy of the Two-Dimensional +-J Ising Model on the Nishimori Line | pdf |
   J. Phys. Soc. Jpn. 89, 114005 (2020) [arXiv:1708.03463]
8. Christophe Chatelain, Andrej Gendiar:
   Absence of logarithmic divergence of the entanglement entropies at the phase transitions of a 2D classical hard rod model | pdf |
   European Physical Journal B 90, 134 (2020) [arXiv:2002.00875]
9. Andrej Gendiar:
   Area-Law Study of Quantum Spin System on Hyperbolic Lattice Geometries | pdf |
   Acta Physica Polonica A 137, 589-591 (2020) [arXiv:2003.10717]
10. Roman Krčmár, Andrej Gendiar, Tomotoshi Nishino:
    Entanglement-entropy study of phase transitions in six-state clock model | pdf |
    Acta Physica Polonica A 137, 598-600 (2020) [arXiv:2003.10718]
11. Eva Pospíšilová, Roman Krčmár, Andrej Gendiar, Ladislav Šamaj:
    Full nonuniversality of the symmetric 16-vertex model on the square lattice | pdf |
    Physical Review E 102, 012125 (2020) [arXiv:2002.02757]
12. Hiroshi Ueda, Kouichi Okunishi, Kenji Harada, Roman Krčmár, Andrej Gendiar, Seiji Yunoki, Tomotoshi Nishino:
    Finite-m scaling analysis of Berezinskii-Kosterlitz-Thouless phase transitions and entanglement spectrum for the six-state clock model | pdf |
    Physical Review E 101, 062111 (2020) [arXiv:2001.10176]
13. Hana Čenčariková, Jozef Strečka, Andrej Gendiar:
    Influence of applied electric and magnetic fields on a thermally-induced reentrance of a coupled spin-electron model on a decorated square lattice | pdf |
    Physica E 115, 113717 (2020) [arXiv:1907.09733]
14. L. Lederová, A. Orendáčová, R. Tarasenko, K. Karľová, J. Strečka, A. Gendiar, M. Orendáč, and A. Feher:
    Interplay of magnetic field and interlayer coupling in the quasi-two-dimensional quantum magnetCu(en)Cl2: Realization of the spin-1/2 rectangular/zigzag square Heisenberg lattice
    Physical Review B 100, 134416 (2019)
15. Roman Krčmár, Jozef Genzor, Yoju Lee, Hana Čenčariková, Tomotoshi Nishino, and Andrej Gendiar:
    Tensor-network study of quantum phase transition on Sierpiński fractal | pdf |
    Phys. Rev. E 98, 062114 (2018) [arXiv:1711.11401]
16. Michal Daniška and Andrej Gendiar:
    Study of classical and quantum phase transitions on non-Euclidean geometries in higher dimensions | pdf |
    Acta Physica Slovaca 68, 187 – 286 (2018)
17. Jozef Genzor, Tomotoshi Nishino, Andrej Gendiar:
    Tensor networks: Phase transition phenomena on hyperbolic and fractal geometries | pdf |
    Acta Physica Slovaca 67, No.2, 85 – 206 (2017)
18. Hana Čenčariková, Jozef Strečka, Andrej Gendiar, Natália Tomašovičová:
    The influence of further-neighbor spin-spin interaction on a ground state of 2D coupled spin-electron model in a magnetic field | pdf |
    Physica B: Condensed Matter 536, 432-438 (2018)
19. Hana Čenčariková, Jozef Strečka, Andrej Gendiar:
    Magnetization processes and existence of reentrant phase transitions in coupled spin-electron model on doubly decorated planar lattices | pdf |
    Journal of Magnetism and Magnetic Materials 452, 512-521 (2018) [arXiv:1706.09633]
20. Hiroshi Ueda, Kouichi Okunishi, Roman Krčmár, Andrej Gendiar, Seiji Yunoki, Tomotoshi Nishino:
    Critical behavior of the two-dimensional icosahedron model | pdf |
    Phys. Rev. E 96, 062112 (2017) [arXiv:1709.01275]
21. Roman Krčmár, Andrej Gendiar, Tomotoshi Nishino :
    Phase diagram of truncated tetrahedral model | pdf |
    Phys. Rev. E 94, 022134 (2016) [arXiv:1512.09059]
22. Yoju Lee, Frank Verstraete, Andrej Gendiar:
    Boundary-field-driven control of discontinuous phase transitions on hyperbolic lattices | pdf |
    Phys. Rev. E 94, 022133 (2016) [arXiv:1606.04009]
23. Marcel Serina, Jozef Genzor, Yoju Lee, Andrej Gendiar:
    Free-energy analysis of spin models on hyperbolic lattice geometries | pdf |
    Phys. Rev. E 93, 042123 (2016) [arXiv:1511.08358]
24. Michal Daniška, Andrej Gendiar:
    Analysis of quantum spin models on hyperbolic lattices and Bethe lattice | pdf |
    J. Phys. A 49, 145003 (2016) [arXiv:1510.01450]
25. Jozef Genzor, Andrej Gendiar, Tomotoshi Nishino:
    Phase Transition of the Ising Model on Fractal Lattice | pdf |
    Phys. Rev. E 93, 012141 (2016) [arXiv:1509.05596]
26. Michal Daniška, Andrej Gendiar:
    Tensor product variational formulation applied to pentagonal lattice | pdf |
    J. Phys. A: Math. Theor. 48, 435002 (2015) [arXiv:1503.07978]
27. Jozef Genzor, Vladimír Bužek, Andrej Gendiar:
    Thermodynamic model of social influence on two-dimensional square lattice: Case for two features | pdf |
    Physica A 420, 200-211 (2015) [arXiv:1403.1771]
28. Małgorzata Zubaszewska, Andrej Gendiar, Tomášz Masłowski:
    Critical fluctuations of a confined binary mixture | pdf |
    J. Appl. Math and Comp. Mech 13(4), 177-182 (2014), [arXiv:1410.2015]
29. Andrej Gendiar, Michal Daniška, Roman Krčmár, Tomotoshi Nishino:
    Mean-field universality class induced by weak hyperbolic curvatures | pdf |
    Phys. Rev. E 90, 012122 (2014) [arXiv:1403.5377]
30. Małgorzata Zubaszewska, Andrej Gendiar, Andrzej Drzewiński:
    Capillary condensation in a square geometry with surface fields | pdf |
    Phys. Rev. E 86, 062104 (2012) [arXiv:1210.2830]
31. Andrej Gendiar, Roman Krčmár, Sabine Andergassen, Michal Daniška, Tomotoshi Nishino:
    Weak correlation effects in the Ising model on triangular-tiled hyperbolic lattices | pdf |
    Phys. Rev. E 86, 021105 (2012) [arXiv:1205.3850]
32. A. Gendiar, M. Daniška, Y. Lee, T. Nishino:
    Suppression of finite-size effects in one-dimensional quantum systems
    Phys. Rev. A 83, 052118 (2011) [arXiv:1012.1472]
33. Takatsugu Iharagi, Andrej Gendiar, Hiroshi Ueda, Tomotoshi Nishino:
    Phase transition of the Ising model on a hyperbolic lattice
    Journal of the Physical Society of Japan 79, 104001-4, (2010)[arXiv:1005.3378]
34. Hiroshi Ueda, Andrej Gendiar, Tomotoshi Nishino:
    A Classical Background for the Wave Function Prediction in the Infinite System DMRG Method
    J.Phys.Soc.Jpn. 79, 044001 (2010) [arXiv:0911.5601]
35. Andrej Gendiar, Roman Krčmár and Tomotoshi Nishino:
    Spherical deformation for one-dimensional quantum systems
    , Progress Theor. Phys. 123, 393 (2010)
36. A. Gendiar, R. Krčmár, M. Weyrauch:
    The large system asymptotics of persistent currents in mesoscopic quantum rings
    Phys. Rev. B 79, 205118 (2009) [arXiv:0902.4385]
37. Andrej Gendiar, Roman Krčmár, Tomotoshi Nishino:
    Spherical Deformation for One-dimensional Quantum Systems
    Prog. Theor. Phys. 122 (2009), 953-967 [arXiv:0810.0622]
38. R. Krčmár, T. Iharagi, A. Gendiar, T. Nishino:
    Tricritical point of J1-J2 Ising model on hyperbolic lattice
    Phys. Rev. E 78, 061119 (2008) [arXiv:0807.0150]
39. Andrej Gendiar, Roman Krčmár, Kouiji Ueda, Tomotoshi Nishino:
    Phase transition of clock models on hyperbolic lattice studied by corner transfer matrix renormalization group method
    Phys. Rev. E 77, 041123 (2008) [arXiv:0801.0836]
40. Antonia Moskova, Martin Mosko, Andrej Gendiar:
    Possible persistent current in a ring made of the perfect crystalline insulator
    Physica E 40, 1991 (2008) [arXiv:0712.0962]
41. Roman Krčmár, Andrej Gendiar, Martin Mosko, Radoslav Nemeth, Pavel Vagner, Lubos Mitas:
    Persistent current of correlated electrons in mesoscopic ring with impurity
    Physica E 40, 1507 (2008) [arXiv:0712.0960]
42. Roman Krčmár, Andrej Gendiar, Kouji Ueda, Tomotoshi Nishino:
    Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method
    J.Phys.A 41, 125001 (2008) [arXiv:0712.0461]
43. K.Ueda, R.Krčmár, A.Gendiar, T.Nishino:
    Corner transfer matrix renormalization group method applied to the ising model on the hyperbolic plane
    J. Phys. Soc. Japan 76, 084004 (2007)
44. Andrej Gendiar, Martin Mosko, Pavel Vagner, Radoslav Nemeth:
    Tunneling of interacting one-dimensional electrons through a single scatterer: Luttinger liquid behavior in the Hartree-Fock model
    Physica E 34, 596 (2006) [arXiv:0712.0955]
45. Martin Mosko, Pavel Vagner, Andrej Gendiar, Radoslav Nemeth:
    Coherent transport of interacting electrons through a single scatterer
    Physica B 378-380 908 (2006) [arXiv:0712.0952]
46. Rene Derian, Andrej Gendiar, Tomotoshi Nishino:
    Modulation of Local Magnetization in two-dimensional Axial-Next-Nearest-Neighbor Ising model
    J. Phys. Soc. Jpn. 75, 114001 (2006)
47. K.Ueda, T.Nishino, K.Okunish, Y.Hieida, R.Derian, A.Gendiar:
    Product wave function renormalization group: Construction from the matrix product point of view
    J. Phys. Soc. Japan. 75, 014003 (2006)
48. A.Gendiar, and T.Nishino:
    Phase diagram of the 3D Axial-Next-Nearest-Neigbor Ising model
    Phys. Rev. B 71, 024404-10 (2005)
49. A.Gendiar, M.Moško, P.Vagner, and R.Németh:
    Tunneling of interacting fermions in 1D systems
    Acta Phys. Polonica 108 (2005) 661-667.
50. K.Ueda, R.Otani, Y.Nishio, A.Gendiar, and T.Nishino:
    Snapshot observation for 2D classical lattice models by corner transfer matrix renormalization group
    J. Phys. Soc. Japan. 74 (2005) S111-114.
51. A.Gendiar, T.Nishino, and R.Derian:
    Estimation of the magnetic critical exponent by tensor product variational approach
    Acta Phys. Slovaca 55 (2005) 141-148.
52. K.Ueda, R.Otani, Y.Nishio, A.Gendiar, and T.Nishino:
    Critical point of a symmetric vertex
    J. Phys. Soc. Japan. 74 (2005) 1871-1872.
53. A.Gendiar, N.Maeshima, and T.Nishino:
    Stable optimization of tensor product variational state
    Progress of Theoretical Physics 110 (2003) 691
54. A.Kemper, A.Gendiar, T.Nishino, A.Schadschneider, and J.Zittartz:
    Stochastic light-cone CTMRG: a new DMRG approach to stochastic models
    J. Physics A 36 (2003) 29
55. A.Gendiar, and T.Nishino:
    Latent heat calculation of the three-dimensional q=3, 4, and 5 Potts models by the tensor product variational approach
    Phys. Rev. E 65 (2002) 046702
56. A.Gendiar, and A.Surda:
    Density-matrix renormalization-group technique with periodic boundary conditions for two-dimensional classical systems
    Phys. Rev. B 63 (2001) 014401
57. A.Gendiar:
    Lattice models studied by numerical renormalization group approaches: Review of critical properties
    Acta Physica Slovaca 51 (2001) 69-138
58. T.Nishino, Y.Hieida, K.Okunishi, N.Maeshima, Y.Akutsu, and A.Gendiar:
    Two-dimensional tensor product variational formulation
    Progress of Theoretical Physics 105, 409 (2001)
59. A.Gendiar, A.Surda:
    Incommensurate structures studied by a modified density-matrix renormalization-group method
    Phys. Rev. B 62 (2000) 3960
60. A.Gendiar and A.Surda:
    The commensurate-disordered phase transition in the 2D classical ATNNI model studied by DMRG
    J. of Physics A 33 (2000) 8365

Submitted

1. Roman Krčmár, Jozef Genzor, Andrej Gendiar, Tomotoshi Nishino:
   Tensor network calculation of boundary and corner magnetization
   [arXiv:2506.17194]
2. Jozef Genzor, Roman Krčmár, Hiroshi Ueda, Denis Kochan, Andrej Gendiar, Tomotoshi Nishino:
   Phase Transition of the Ising Model on a 3-Dimensional Fractal Lattice
   [arXiv:2506.17053]
3. Roman Krčmár, Andrej Gendiar, Peter Rapčan, Tomotoshi Nishino:
   Phase transition of the four-dimensional cross-polytope model
   [arXiv:2008.09355]
4. Roman Krčmár, Mária Zelenayová, Libor Caha, Peter Rapčan, Tomotoshi Nishino, Andrej Gendiar:
   Quantum Potts Models on the Sierpiński Pyramid
   [arXiv:2003.09604]

Unpublished

1. Roman Krčmár, Andrej Gendiar, Tomotoshi Nishino:
   Phase transition of the six-state clock model observed from the entanglement entropy
   [arXiv:1612.07611]
2. Hiroshi Ueda, Andrej Gendiar, Valentin Zauner, Takatsugu Iharagi, Tomotoshi Nishino:
   Transverse Field Ising Model Under Hyperbolic Deformation
   [arXiv:1008.3458]