17 citations · 64 across the 14 of their papers we have counts for
14 papers
Arbitrary number of thermally induced phase transitions in different universality classes in models with higher-order terms
Milan Žukovič
We propose generalized variants of the model capable of exhibiting an arbitrary number of phase transitions only by varying temperature. They are constructed by supplementing…
Frustration-driven topological textures on the honeycomb lattice: antiferromagnetic meron-antimeron and skyrmion crystals emerging from spiral spin liquids
M. Mohylna, F. A. Gómez Albarracín, M. Žukovič +1
Skyrmions -- topologically nontrivial magnetic quasi-particles -- can emerge in two-dimensional chiral magnets due to moderate or high strength of the Dzyaloshinskii-Moriya (DM) in…
Crossover from BKT to first-order transition induced by higher-order terms in 2D XY models
Milan Žukovič
We study phase transitions in models, generalized by inclusion of higher-order pairwise interactions of equal strength, by Monte Carlo simulation. It is found that by addi…
Generalized model with competing antiferromagnetic and antinematic interactions
Milan Žukovič
We study effects of -order antinematic (AN) interactions on the critical behavior of the antiferromagnetic (AF) model on a square lattice. It is found that the evolutio…
A parsimonious, computationally efficient machine learning method for spatial regression
Milan Žukovič, Dionissios T. Hristopulos
We introduce the modified planar rotator method (MPRS), a physically inspired machine learning method for spatial/temporal regression. MPRS is a non-parametric model which incorpor…
Towards skyrmion crystal stabilization in the antiferromagnetic triangular lattice at ambient conditions
Mariia Mohylna, Vitalii Tkachenko, Milan Žukovič
We explore possibilities of stabilizing a skyrmion (SkX) phase in the frustrated antiferromagnetic (AF) Heisenberg model with DMI on a triangular lattice at ambient conditions. We…
Fast gap-filling of massive data by local-equilibrium conditional simulations on GPU
M. Lach, M. Žukovič
The ever-growing size of modern space-time data sets, such as those collected by remote sensing, requires new techniques for their efficient and automated processing, including gap…
Formation and growth of skyrmion crystal phase in a frustrated Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interaction
M. Mohylna, M. Žukovič
We study the formation and growth of a skyrmion crystal (SkX) phase in a frustrated antiferromagnetic Heisenberg model on a triangular lattice with Dzyaloshinskii-Moriya interactio…
Gibbs Markov Random Fields with Continuous Values based on the Modified Planar Rotator Model
Milan Žukovič, Dionissios T. Hristopulos
We introduce a novel Gibbs Markov random field for spatial data on Cartesian grids based on the modified planar rotator (MPR) model of statistical physics. The MPR captures spatial…
Short-range correlations in modified planar rotator model
M. Žukovič, D. T. Hristopulos
We introduce a model inspired from statistical physics that is shown to display flexible short-range spatial correlations which are potentially useful in geostatistical modeling. I…
Incommensurate Short-Range Order in Triangular Lattice Ising Antiferromagnet
Yusuke Tomita, Milan Žukovič
We study the triangular lattice Ising antiferromagnet by Monte Carlo simulations. Frustrations between a major antiferromagnetic third-neighbor interaction and a mino…
Domain dynamics in nonequilibrium random-field Ising models
S. Hrivňak, M. Žukovič
We employ Monte Carlo simulations in order to study dynamics of the magnetization and domain growth processes in the random-field Ising models with uniform and Gaussian random fiel…
A Directional Gradient-Curvature Method for Gap Filling of Gridded Environmental Spatial Data with Potentially Anisotropic Correlations
Milan Žukovič, Dionissios T. Hristopulos
We introduce the Directional Gradient-Curvature (DGC) method, a novel approach for filling gaps in gridded environmental data. DGC is based on an objective function that measures t…
Residual entropy of spin-s triangular Ising antiferromagnet
M. Žukovič
We employ a thermodynamic integration method (TIM) to establish the values of the residual entropy for the geometrically frustrated spin-s triangular Ising antiferromagnet, with th…