19 citations · 99 across the 15 of their papers we have counts for
15 papers
Phase transition in the three-dimensional model: a Monte Carlo study
A. O. Sorokin
Using Monte Carlo simulations, we consider the lattice version of the sigma model for and . We find a continuous transition for $N\…
First-order transition in the stacked-- Ising model on a cubic lattice
A. O. Sorokin
We investigate critical properties of the stacked-- Ising model on a cubic lattice. Using Monte Carlo simulations and renormalization group, we find a single phase transi…
First-order and pseudo-first-order transition in the high dimensional model
A. O. Sorokin
Using the renormalization group approach, we consider the model in four and more dimensions. We find that independently on and , for , a tr…
Triple helix vs. skyrmion lattice in two-dimensional non-centrosymmetric magnets
V. E. Timofeev, A. O. Sorokin, D. N. Aristov
It is commonly assumed that a lattice of skyrmions, emerging in two-dimensional non-centrosymmetric magnets in external magnetic fields, can be represented as a sum of three magnet…
Towards an effective theory of skyrmion crystals
V. E. Timofeev, A. O. Sorokin, D. N. Aristov
We consider multiskyrmion configurations in 2D ferromagnets with Dzyaloshinskii-Moriya (DM) interaction and the magnetic field, using the stereographic projection method. In the ab…
Topological defects and critical phenomena in two-dimensional frustrated helimagnets
A. O. Sorokin
Using a simple model of a frustrated helimagnet, the critical behavior is numerically investigated for planar or isotropic spins, and for cases of one or two chiral order parameter…
Interaction of domain walls and vortices in the two-dimensional O(2) and O(3) principal chiral models
A. O. Sorokin
Using extensive Monte Carlo simulations, we investigate the critical properties of domain walls, vortices and vortices in the Ising- and Ising-$O(3)\otimes O(2…
Critical density of topological defects upon a continuous phase transition
A. O. Sorokin
Using extensive Monte Carlo simulations, we test the hypothesis that the density of corresponding topological defects has an universal value at the temperature of a continuous phas…
First order transition induced by topological defects in the O(3) principal chiral model
A. O. Sorokin
Using Monte Carlo simulations, we study thermal and critical properties of two systems, in which domain walls and so-called -vortices as topological defects are presented. The…
Determination of CFT central charge by the Wang-Landau algorithm
P. A. Belov, A. A. Nazarov, A. O. Sorokin
We propose a simple method to estimate the central charge of the conformal field theory corresponding to a critical point of a two-dimensional lattice model from Monte Carlo simula…
Numerical determination of the CFT central charge in the site-diluted Ising model
P. A. Belov, A. A. Nazarov, A. O. Sorokin
We propose a new numerical method to determine the central charge of the conformal field theory models corresponding to the 2D lattice models. In this method, the free energy of th…
Ising-XY Transition in Three-dimensional Frustrated Antiferromagnets with Collinear Ordering
A. O. Sorokin
Using Monte Carlo simulations, we study the critical behavior of two models of frustrated XY antiferromagnets with a collinear spin ordering and with an additional twofold degenera…
Magnon spectrum in ferromagnets with a skyrmion
D. N. Aristov, S. S. Kravchenko, A. O. Sorokin
The analysis of the spin wave excitations in two-dimensional isotropic Heisenberg ferromagnet is performed with a single skyrmion in the ground state. We employ the ideas of semicl…
Critical and multicritical behavior in the Ising-Heisenberg universality class
A. O. Sorokin
Critical behavior of three-dimensional classical frustrated antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state is studied…
Chiral Spin Liquid in two-dimensional XY Helimagnets
A. O. Sorokin, A. V. Syromyatnikov
We carry out Monte-Carlo simulations to discuss critical properties of a classical two-dimensional XY frustrated helimagnet on a square lattice. We find two successive phase transi…