A. Sorokin

activity

20182022

most citedPhase transition in the three-dimensional

O (N) \otimes O (M)

model: a Monte Carlo study

4 citations · 4 across the 1 of their papers we have counts for

collaborators

7 papers

hep-lat2022★ 4 cited

Phase transition in the three-dimensional $O (N) \otimes O (M)$ model: a Monte Carlo study

A. O. Sorokin

Using Monte Carlo simulations, we consider the lattice version of the $O (N) \otimes O (M)$ sigma model for $2 \leq M \leq 4$ and $M \leq N \leq 8$ . We find a continuous transition for $N\…

cond-mat.str-el2021

First-order and pseudo-first-order transition in the high dimensional $O (N) \otimes O (M)$ model

A. O. Sorokin

Using the renormalization group approach, we consider the $O (N) \otimes O (M)$ model in four and more dimensions. We find that independently on $N$ and $M$ , for $N \geq M \geq 2$ , a tr…

cond-mat.str-el2020

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…

cond-mat.str-el2018

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…

cond-mat.str-el2018

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…

cond-mat.str-el2018

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 $Z_{2}$ vortices in the Ising- $O (2)$ and Ising-$O(3)\otimes O(2…

Phase transition in the three-dimensional O(N)⊗O(M) model: a Monte Carlo study

First-order and pseudo-first-order transition in the high dimensional O(N)⊗O(M) model

Triple helix vs. skyrmion lattice in two-dimensional non-centrosymmetric magnets

Towards an effective theory of skyrmion crystals

Topological defects and critical phenomena in two-dimensional frustrated helimagnets

Interaction of domain walls and vortices in the two-dimensional O(2) and O(3) principal chiral models

Phase transition in the three-dimensional $O (N) \otimes O (M)$ model: a Monte Carlo study

First-order and pseudo-first-order transition in the high dimensional $O (N) \otimes O (M)$ model