Phase diagram of the two-dimensional dipolar Heisenberg model with Dzyaloshinskii-Moriya interaction and Ising anisotropy
| Autor: | Masamichi Nishino, Yoshihiko Nonomura, Hisato Komatsu |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Phase transition Statistical Mechanics (cond-mat.stat-mech) Strongly Correlated Electrons (cond-mat.str-el) Condensed matter physics Heisenberg model Skyrmion FOS: Physical sciences Order (ring theory) Condensed Matter - Strongly Correlated Electrons Phase (matter) Condensed Matter::Strongly Correlated Electrons Ising model Hexagonal lattice Condensed Matter - Statistical Mechanics Phase diagram |
| Zdroj: | Physical Review B. 103 |
| ISSN: | 2469-9969 2469-9950 |
| DOI: | 10.1103/physrevb.103.214404 |
| Popis: | We study phase transitions in the two-dimensional Heisenberg model with the Dzyaloshinskii-Moriya interaction, the Ising anisotropy ($\eta$), and the dipolar interaction under zero and finite magnetic fields ($H$). For three typical strengths (zero, weak, and strong) of the dipolar interaction, we present the $H$-$\eta$ phase diagrams by estimating order parameters for skyrmion-lattice and helical phases and in-plane magnetization by using a Monte Carlo method with an $O(N)$ algorithm. We find in the phase diagrams three types of skyrmion-lattice phases, i.e., two square lattices and a triangular lattice, helical phases with diagonal and vertical (or horizontal) stripes, canted ferromagnetic phase and polarized ferromagnetic phase. The effect of the dipolar interaction varies the types of the skyrmion and helical phases in a complex manner. The dipolar interaction also expands the regions of the ordered phases accompanying shifts of the phase boundaries to the positive $H$ and $\eta$ directions, and causes increase of the density of skyrmions and shortening of the pitch length (stripe width) of helical structures. We discuss the details of the features of the phase transitions. Comment: 10 pages, 12 figures |
| Databáze: | OpenAIRE |
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