Milan Žukovič
Department of Theoretical
Physics and Astrophysics
Institute of Physics
Park Angelinum 9
041 54 Košice
Slovak Republic
Email:
milan.zukovic@upjs.sk
Academic degrees
• Prof. - 2020, Faculty of Science, UPJŠ Košice,
field: Physics
• Doc. - 2010, Faculty of Science, UPJŠ Košice,
field: Physics
• PhD. - 2000, Department
of Applied Quantum Physics, Kyushu
University, Japan, field: Applied Physics
• RNDr. - 1990, Faculty of Science, UPJŠ Košice,
field: Mathematics-Physics
Career
• 2009-now : P.J. Šafárik
University
• 2006-2008: Technical University of
Crete, Greece
• 2002-2005: Yazaki Slovakia
• 1996-2002: Kyushu
University, Japan
• 1991-1998: Technical University in Košice
• 1990-1991: Slovak Academy of Science
Awards
• 2014: P.J. Šafárik
University, Faculty of Science dean's
award for scientific and research activity
• 2006: Marie-Curie Fellowship
• 2001: Japan Society
for the Promotion of Science (JSPS)
Fellowship
• 1996: Japanese Government (Mombusho)
Scholarship
• 1990: P.J. Šafárik
University president's award for excellent achievements in study
and research
Study abroad
• 1997-2000: Kyushu
University, Japan - postgraduate student
• 1996-1997: Kyushu
University, Japan - research student
Teaching
Undergraduate
and graduate level:
• Numerical
Methods
• Phase
Transitions and Critical Phenomena
• Econophysics
• Selected
applications of data analysis
PhD level:
•
Computational Physics
•
Statistical Physics
•
Nontraditional geostatistical methods
Research interests
• critical phenomena in magnetic systems
• frustrated and mixed-spin systems
• magnetic skyrmions
• space-time random field modeling
• non-traditional applications of statistical physics
models (geostatistics, environmental monitoring and
risk assessment)
• econophysics
Projects
• Scientific grant agency VEGA 1/0695/23
“Unconventional magnetic and topological phases and phase transitions in spin
systems”, 2023-2026.
• Scientific grant agency APVV-20-0150 “Perspective
electronic spin systems for future quantum technologies”, 2021-2025.
• Scientific grant agency VEGA 1/0531/19 “Exotic
phenomena in frustrated spin systems”, 2019-2022.
• Scientific grant agency APVV-18-0197 “Relaxation
processes in quantum magnetic systems”, 2019-2023.
• Scientific grant agency APVV-16-0186 “Exotic quantum
states of low-dimensional spin and electron systems”, 2017-2021.
• Scientific grant agency VEGA 1/0331/15 “Frustrated
mixed-spin systems”, 2015-2018.
• Scientific grant agency VEGA 1/0474/16 “Simulation
and dynamic visualization of geospatial processes”, 2016-2018.
• Scientific grant agency APVV-14-0073 “Magnetocaloric effect in quantum and nanoscopic
systems”, 2015-2019.
• Scientific grant agency VEGA 1/0234/12 “Frustrated
spin systems”, 2012-2015.
• Scientific grant agency APVV-0132-11 “Unconventional
quantum states in nanoscopic magnetic systems”,
2011-2015.
• Scientific grant agency VEGA 1/0431/10 “A study of
quantum and cooperative phenomena in geometrically frustrated spin models”,
2010-2011.
• Scientific grant agency VEGA 1/0128/08 “Theoretical
study of quantum and classical spin systems”, 2009-2010.
• Japan Society for the Promotion of Science,
"Role of higher-order exchange and effect of doping in frustrated magnetic
systems"
Current collaboration
• Prof. D.T. Hristopulos
- Technical University of Crete,
Chania, Greece
• Dr. M. Mohylna
- P.J. Šafárik University,
Košice, Slovakia
• Prof. H.D. Rosales - National University of La Plata,
La Plata, Argentina
• Assoc. Prof. M. Schmidt - Universidade Federal de Santa Maria, Brazil
• Assoc. Prof. Y. Kamiya – Shanghai
Jiao Tong University, China
Recent
publications
Stochastic
Environmental Research and Risk Assessment
(2024). https://doi.org/10.1007/s00477-023-02656-1
M. Žukovič and D.T. Hristopulos
•
Generalized
XY model with competing
antiferromagnetic and antinematic interactions
Physical Review E 110,
044139 (2024)
M.
Žukovič
•
Generalized XY Models with Arbitrary Number of Phase
Transitions (open access)
Entropy 26 893 (2024)
M.
Žukovič
•
Residual
entropy, bicriticality, and tricriticality
in the frustrated Ising model on the honeycomb
lattice
Journal of Magnetism and Magnetic
Materials 604 172282 (2024)
P.F. Dias, A. Krindges,
C.V. Morais, F.M. Zimmer, M. Mohylna,
M. Žukovič,
M. Schmidt
•
Towards
skyrmion crystal stabilization in the
antiferromagnetic triangular lattice at ambient conditions (preprint
pdf)
Physics Letters
A 490 129170 (2023)
M. Mohylna,
V. Tkachenko and M.
Žukovič
• Fast
gap-filling of massive data by local-equilibrium conditional simulations on GPU (open access)
Mathematical
Geosciences (2023). https://doi.org/10.1007/s11004-023-10092-8
M.
Lach and M. Žukovič
• Robustness of the Skyrmion Phase in a Frustrated Heisenberg Antiferromagnetic
Layer against Lattice Imperfections and Nanometric
Domain Sizes (open access)
Magnetochemistry
9, 101 (2023)
M. Mohylna and M. Žukovič
• Spatial
data modeling by means of Gibbs Markov random fields based on a generalized
planar rotator model (preprint pdf)
Physica
A 612 128509 (2023)
M. Žukovič and D.T. Hristopulos
•
Spontaneous antiferromagnetic skyrmion/antiskyrmion lattice and spiral spin liquid states
in the frustrated triangular lattice (preprint
pdf)
Physical Review B 106, 224406 (2022)
M. Mohylna,
F. A. Gómez Albarracín, M. Žukovič, and H. D. Rosales
•
Road to zero-field antiferromagnetic skyrmions in a frustrated AFM/FM heterostructure (preprint
pdf)
Physics Letters
A 449 128350 (2022)
M. Mohylna,
V. Tkachenko and M.
Žukovič
•
Effect
of impurities on stability of the
skyrmion phase in a frustrated Heisenberg antiferromagnet
Proceedings of the International ECMS
Conference on Modelling and Simulation, Alesund, Norway, 30 May–3 June 2022; pp. 331–335.
M. Mohylna
and M. Žukovič
Proceedings
of the International ECMS Conference on Modelling and Simulation, Alesund, Norway, 30 May–3 June 2022; pp. 336–341.
M.
Žukovič
•
XY model with competing higher-order interactions (preprint
pdf)
Physical Review E 105 034129 (2022)
M.
Žukovič and G. Kalagov
• Absence
of long-range order in a three-dimensional stacked Ising
antiferromagnet on kagome
lattice (preprint pdf)
Physics
Letters A 430 127975 (2022)
M. Semjan
and M. Žukovič
• Stability
of skyrmion crystal phase in antiferromagnetic
triangular lattice with DMI and single-ion anisotropy (preprint pdf)
Journal of
Magnetism and Magnetic Materials 168840 (2022)
M. Mohylna
and M. Žukovič
•
Ising Model for Interpolation of Spatial Data on Regular Grids
Entropy 23 1270 (2021)
M.
Žukovič and D.T. Hristopulos
• Phase
diagrams of the antiferromagnetic XY model on a triangular lattice with
higher-order interactions (preprint pdf)
Physical
Review E 104 (2) 024134 (2021)
M. Lach and M. Žukovič
• Critical
properties of the frustrated Ising model on a
honeycomb lattice: A Monte Carlo study (preprint pdf)
Physics Letters
A 404 127405 (2021)
M.
Žukovič
• Formation
and growth of skyrmion crystal phase in a frustrated
Heisenberg antiferromagnet with Dzyaloshinskii-Moriya
interaction (preprint
pdf)
Journal of
Magnetism and Magnetic Materials 527 167755 (2021)
M. Mohylna,
J. Buša Jr. and M. Žukovič
• Effect of Single-Ion Anisotropy on
Magnetocaloric Properties of Frustrated Spin-s Ising Nanoclusters (preprint
pdf)
Magnetochemistry
6 (4) 56 (2020)
M. Mohylna and M. Žukovič
• New
ordered phase in geometrically frustrated generalized XY model
(preprint pdf)
Physical
Review E 102 (3) 032113 (2020)
M. Lach and M. Žukovič
• Absence
of long-range order in a general spin-S kagome
lattice Ising antiferromagnet
(preprint pdf)
Physics
Letters A 384 (24) 126615 (2020)
M. Semjan
and M. Žukovič
•
GPU-Accelerated
Simulation of Massive Spatial Data Based on the Modified Planar Rotator Model (preprint
pdf)
Mathematical Geosciences 52 123 (2020)
M.
Žukovič, M. Borovský,
M. Lach and D.T. Hristopulos
• Spin-Glass-Like
Ordering in a Frustrated J(1)-J(2) Ising Antiferromagnet on a Honeycomb Lattice
Acta Physica Polonica
A 137 619 (2020)
M.
Žukovič, M. Borovský,
A. Bobák, T. Balcerzak and
K. Szałowski
• Phase Diagram of
a Generalized XY Model with Geometrical Frustration
Acta Physica Polonica
A 137 613 (2020)
M. Lach and M. Žukovič
Acta Physica Polonica
A 137 616 (2020)
M. Mohylna and M. Žukovič
• Magnetocaloric Properties of an Ising
Antiferromagnet on a Kagome Lattice
Acta Physica Polonica
A 137 622 (2020)
M. Semjan and M. Žukovič
Acta Physica Polonica
A 137 628 (2020)
A. Bobák, T.
Lučivjanský and
M. Žukovič
•
Efficient
and Scalable Approach to Equilibrium Conditional Simulation of Gibbs Markov
Random Fields
EPJ Web of Conferences 226 02023
(2020)
M.
Žukovič and D.T. Hristopulos
•
Global
Thermodynamic Properties of Complex Spin Systems Calculated from Density of
States and Indirectly by Thermodynamic Integration Method
EPJ Web of
Conferences 226 02019 (2020)
M. Semjan
and M. Žukovič
•
Numerical
Precision Effects on GPU Simulation of Massive Spatial Data, Based on the
Modified Planar Rotator Model
EPJ Web of
Conferences 226 02015 (2020)
M. Lach, M. Borovský and M. Žukovič
•
XY model with antinematic
interaction (preprint
pdf)
Physical Review E 99 (6) 62112 (2019)
M.
Žukovič
•
Magnetocaloric properties of frustrated tetrahedra-based
spin nanoclusters (preprint
pdf)
Physics Letters A 383 (21) 2525
(2019)
M. Mohylna
and M. Žukovič
•
An
investigation of the J1–J2–J3 transverse Ising antiferromagnet on the honeycomb lattice with frustration
Physica A
518 13
(2019)
A. Bobák, E.
Jurčišinová, M. Jurčišin and M. Žukovič, T. Balcerzak
•
Gibbs
Markov random fields with continuous values based on the modified planar
rotator model (preprint pdf)
Physical Review E 98 062135 (2018)
M.
Žukovič and D.T. Hristopulos
•
Multiple phase transitions in the XY model
with nematic-like couplings (preprint pdf)
Physics Letters A 382 (37) 2618
(2018)
M.
Žukovič
• Phase diagram of the J1- J2
frustrated anisotropic antiferromagnet with spin S = 1 on the quadratic lattice (preprint pdf)
Physical Review E 98 (2) 022123
(2018)
T. Balcerzak, K. Szalowski, A. Bobák, M. Žukovič
•
Magnetic quasi-long-range ordering in nematic systems due to competition between higher-order couplings (preprint
pdf)
Physical Review E 97 052101 (2018)
M.
Žukovič and G. Kalagov
•
Frustrated spin-1/2 Ising antiferromagnet on a square lattice in a transverse field
Physical Review E 97 022124 (2018)
A. Bobák, E.
Jurčišinová, M. Jurčišin and M. Žukovič
•
Thermodynamic and critical properties of an antiferromagnetically stacked triangular Ising antiferromagnet in a field
(preprint
pdf)
Physics Letters A 382 (19) 1305
(2018)
M.
Žukovič, M. Borovský
and A. Bobák
•
Understanding of exchange bias in ferromagnetic/antiferromagnetic bilayers
Chapter in book: Exchange Bias: From
Thin Film to Nanogranular and Bulk Systems, Ed.: S.K.
Sharma, CRC Press, 2018.
M. Pankratova,
A.S. Kovalev and M.
Žukovič
• Magnetization
process and magnetocaloric effect in geometrically
frustrated Ising antiferromagnet
and spin ice models on a ‘Star of David’ nanocluster (preprint pdf)
Journal of
Magnetism and Magnetic Materials 451 311 (2018)
M.
Žukovič and M. Semjan
•
XY model with higher-order exchange (preprint
pdf)
Physical Review E 96 (2) 022158 (2017)
M.
Žukovič and G. Kalagov
•
Ordering phenomena in a heterostructure of frustrated and
unfrustrated triangular-lattice Ising layers (preprint
pdf)
Physical Review E 96 (1) 012145 (2017)
M.
Žukovič, Y. Tomita and Y. Kamiya
•
First-order transition in XY model with higher-order interactions (preprint
pdf)
Journal of Physics: Conference Series
936 012016 (2017)
M.
Žukovič
• Theoretical Study of the Frustrated Ising Antiferromagnet on the Honeycomb Lattice
Acta Physica Polonica
A 131 636 (2017)
A.
Bobák, T. Lučivjanský, M. Žukovič, M. Borovský and T. Balcerzak
• Magnetization Curves of Geometrically Frustrated Exchange-Biased FM/AFM Bilayers
Acta Physica Polonica
A 131 642 (2017)
M.
Pankratová and M. Žukovič
• Exact Diagonalization
Study of an Extended Hubbard Model for a Cubic Cluster at Quarter Filling
Acta Physica Polonica
A 131 1012 (2017)
K.
Szalowski, T. Balcerzak, M.
Jaščur, A. Bobák and M. Žukovič
• Enhanced Magnetocaloric Effect due to Selective
Dilution in a Triangular Ising Antiferromagnet
Acta Physica Polonica
A 131 645 (2017)
M.
Borovský and M. Žukovič
•
Frustrated ground
states of a generalized XY model and their mapping to nonmagnetic structural
analogs (preprint
pdf)
Physical Review B 94 (1) 014438 (2016)
M.
Žukovič
•
Tricritical behaviour of the frustrated Ising antiferromagnet on the honeycomb lattice
(preprint pdf)
Physics Letters A 380 (34) 2693
(2016)
A. Bobák, T.
Lučivjanský, M.
Žukovič, M. Borovský,
T. Balcerzak
•
Critical
behavior of a triangular lattice Ising AF/FM bilayer
(preprint pdf)
Physics Letters A 380 (9-10) 1087
(2016)
M.
Žukovič and A. Bobák
•
GPU-Accelerated
Population Annealing Algorithm: Frustrated Ising Antiferromagnet on the Stacked Triangular Lattice
EPJ Web of Conferences 108 02016
(2016)
M.
Borovský, M. Weigel, L.Yu. Barash and M.
Žukovič
•
Short-range
correlations in modified planar rotator model (preprint
pdf)
Journal of Physics: Conference Series
633 012105 (2015)
M.
Žukovič and D.T. Hristopulos
•
Frustrated mixed spin-1/2
and spin-1 Ising ferrimagnets on a triangular lattice (preprint
pdf)
Physical Review E 91 (5) 052138
(2015)
M.
Žukovič and A. Bobák
• Mixed spin-1/2 and spin-1 Ising ferromagnets on a
triangular lattice (preprint pdf)
Physica A 436 509 (2015)
M.
Žukovič and A. Bobák
• Phase
transitions in a frustrated Ising antiferromagnet
on a square lattice (preprint
pdf)
Physical Review E 91 (3) 032145 (2015)
A. Bobák, T. Lučivjanský, M. Borovský and M. Žukovič
• Thermodynamic
and magnetocaloric properties of geometrically
frustrated Ising nanoclusters (preprint pdf)
Journal of
Magnetism and Magnetic Materials 374 22 (2015)
M.
Žukovič
• Incommensurate
Short-Range Order in S = 1 Triangular Lattice Ising Antiferromagnet (preprint pdf)
J. Phys. Soc.
Jpn. 83 083001 (2014)
Y. Tomita and M. Žukovič
• Thermodynamic
description of the Ising antiferromagnet
on a triangular lattice with selective dilution by a modified
pair-approximation method (preprint pdf)
Physical Review E 89 (6) 062140
(2014)
T. Balcerzak, K. Szalowski, M. Jaščur, M. Žukovič, A. Bobák and M. Borovský
• Entropy of spin
clusters with frustrated geometry (preprint
pdf)
Physics
Letters A 378 1773 (2014)
M.
Žukovič and A. Bobák
• Magnetocaloric
properties of a frustrated Blume-Capel antiferromagnet
EPJ Web of
Conferences 75 09005 (2014)
M.
Žukovič and A. Bobák
• Monte Carlo Study
of a Spin-3/2 Blume-Emery-Griffiths Model on a Honeycomb Lattice
Acta Physica Polonica
A 126 36 (2014)
M.
Žukovič and M. Jaščur
• Low-Temperature
Properties of Ising Antiferromagnet
on a Stacked Triangular Lattice
Acta Physica Polonica
A 126 40 (2014)
M.
Žukovič, L. Mižišin and
A. Bobák
• Magnetization and
Susceptibility of a Diluted Triangular Ising Antiferromagnet in a Field
Acta Physica Polonica
A 126 16 (2014)
M. Borovský,
M. Žukovič
and A. Bobák
• Domain Dynamics in
Nonequilibrium Random-Field Ising
Models
Acta Physica Polonica
A 126 38 (2014)
S. Hrivňak and M. Žukovič
• Phase boundaries of a
spin-3/2 Blume-Emery-Griffiths model on a honeycomb lattice (preprint pdf)
Journal of
Magnetism and Magnetic Materials 354 272 (2014)
M.
Žukovič and M. Jaščur
• A directional gradient-curvature method for gap filling of
gridded environmental spatial data with potentially anisotropic correlations
(preprint pdf)
Atmospheric Environment 77 901
(2013)
M.
Žukovič and D.T. Hristopulos
• Residual
entropy of spin-s triangular Ising antiferromagnet (preprint
pdf)
European
Physical Journal B 86 (6) 283 (2013)
M.
Žukovič
•
Critical
properties of a spin-1 triangular lattice Ising antiferromagnet (preprint
pdf)
Journal of the Korean Physical Society 62 (10) 1495 (2013)
M.
Žukovič and A. Bobák
• Reconstruction of missing data in remote sensing images
using conditional stochastic optimization with global geometric constraints
Stochastic Environmental Research and
Risk Assessment 27 (4) 785 (2013)
M.
Žukovič and D.T. Hristopulos
•
Phase transitions in a
triangular Blume-Capel antiferromagnet
(preprint pdf)
Physical Review E 87 (3) 032121
(2013)
M.
Žukovič and A. Bobák
• Critical and tricritical
behavior of a selectively diluted triangular Ising antiferromagnet in a field (preprint
pdf)
Physica A 392 (1) 157 (2013)
M. Borovský,
M. Žukovič,
and A. Bobák
• Study of planar Ising
ferromagnet on the triangular lattice with selective
dilution (preprint pdf)
Acta Physicae
Superficierum Vol. XII 34 (2012)
T. Balcerzak, K. Szalowski, M. Žukovič,
M. Borovský, A. Bobák, and
M. Jaščur
• Ground
states of the frustrated Blume-Emery-Griffiths model in a field
(preprint pdf)
Physics Letters A 376 (47-48) 3649 (2012)
M. Žukovič
• Dynamics of episodic transient correlations in currency
exchange rate returns and their predictability (preprint
pdf)
Central
European Journal of Physics 10 (3) 615 (2012)
M. Žukovič
• Low-temperature metastable states in a stacked triangular Ising antiferromagnet
(preprint pdf)
Physics Letters A 376 (21) 1731 (2012)
M. Žukovič,
L. Mižišin, and A. Bobák
• Effects
of selective dilution on phase diagram and ground-state magnetizations of an Ising antiferromagnet on
triangular and honeycomb lattices (preprint
pdf)
Journal of
Magnetism and Magnetic Materials 324 (17) 2687 (2012)
M.
Žukovič, M. Borovský
and A. Bobák
• Relationships between correlation lengths and integral
scales for covariance models with more than two parameters
Stochastic Environmental Research and
Risk Assessment 25 (1) 11 (2011)
D.T. Hristopulos
and M. Žukovič
• Phase transition and compensation temperature in the mixed
spin-1 and spin-1/2 anisotropic Heisenberg ferrimagnet
Physica A 390
(11) 1953 (2011)
A. Bobák,
J. Dely and M.
Žukovič
• Magnetic
properties of the mixed spin-3/2 and spin-1/2 anisotropic Heisenberg model
Journal of Magnetism and Magnetic Materials
323 (6) 813 (2011)
A. Bobák, Z.
Fecková and M.
Žukovič
• Ordering in
Triangular Lattice Ising Antiferromagnet
Due to Dilution and Magnetic Field
Acta Physica Polonica A 118 (5)
740 (2010)
M.
Žukovič, M. Borovský
and A. Bobák
•
Phase
diagram of a mixed spin-1 and spin-3/2 Ising
ferrimagnet (preprint pdf)
Physica A
389 (23) 5402 (2010)
M.
Žukovič and A. Bobák
• Phase Diagram of a Diluted Triangular Lattice Ising
Antiferromagnet in a Field
(preprint pdf)
Physics Letters A 374 (41) 4260 (2010)
M. Žukovič,
M. Borovský and A. Bobák
• Critical
and compensation phenomena in a mixed-spin ternary alloy: a Monte Carlo study
(preprint pdf)
Journal of Magnetism and Magnetic
Materials 322 (19) 2868 (2010)
M.
Žukovič and A. Bobák
• Critical temperature of a mixed ferro-ferrimagnetic
ternary alloy
Journal of Physics: Conference Series 200 (2) 022005 (2010)
J. Dely, A. Bobák, M. Žukovič
• Classification
of missing values in spatial data using spin models
(preprint pdf)
Physical Review E 80 (1) 011116 (2009)
M.
Žukovič and D.T. Hristopulos
• Compensation temperatures and magnetic susceptibility of a mixed ferro-ferrimagnetic ternary alloy
Physics Letters A 373 (35) 3197 (2009)
J. Dely, A. Bobák, M. Žukovič
• The Method of Normalized Correlations - A Fast Parameter
Estimation Method for Random Processes and Isotropic Random Fields with
Short-Range Dependence
Technometrics
51 (2) 173 (2009)
M.
Žukovič and D.T. Hristopulos
• Multilevel Discretized Random Field Models with ``Spin''
Correlations for the Simulation of Environmental Spatial Data
(preprint pdf)
Journal of Statistical Mechanics:
Theory and Experiment P02023 (2009)
M.
Žukovič and D.T. Hristopulos
• Environmental Time Series Interpolation Based on Spartan Random
Processes (preprint
pdf)
Atmospheric Environment 42 7669 (2008)
M.
Žukovič and D.T. Hristopulos
• Spartan Random Processes in Time Series Modeling
(preprint pdf)
Physica A
387 (15) 3995 (2008)
M.
Žukovič and D.T. Hristopulos