具有Dzyaloshinskii-Moriya相互作用的铁磁海森堡模型

IF 0.9 4区物理与天体物理 Q4 PHYSICS, CONDENSED MATTER

Condensed Matter Physics Pub Date : 2022-10-03 DOI:10.5488/CMP.25.33701

E. Albayrak

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引用次数: 0

摘要

利用三维自旋算符Ŝx、Ŝy和Ŝz的矩阵形式，用平均场近似(MFA)表示了自旋-1/2海森堡模型。所考虑的哈密顿量由双线性交换相互作用参数(Jx, Jy, Jz)， Dzyaloshinskii-Moriya相互作用(Δx， Δy， Δz)和外部磁场分量(Hx, Hy, Hz)组成。得到了Jx≠Jy≠Jz的各向异性情况下不同配位数q下MFA的磁化强度及其分量，并详细研究了各向异性情况下Jx = Jy = Jz > 0时模型磁化强度的热变化规律，得到了模型的相图。结果表明，该模型具有铁磁、顺磁、随机相区和一个额外的铁磁相区，其中磁化分量呈现分支。

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Ferromagnetic Heisenberg model with the Dzyaloshinskii-Moriya interaction

The spin-1/2 Heisenberg model is formulated in terms of a mean-field approximation (MFA) by using the matrix forms of spin operators Ŝx, Ŝy and Ŝz in three-dimensions. The considered Hamiltonian consists of bilinear exchange interaction parameters (Jx, Jy, Jz), Dzyaloshinskii-Moriya interactions (Δx, Δy, Δz) and external magnetic field components (Hx, Hy, Hz). The magnetization and its components are obtained in the MFA with the general anisotropic case with Jx ≠ Jy ≠ Jz for various values of coordination numbers q. Then, the thermal variations of magnetizations are investigated in detail to obtain the phase diagrams of the model for the isotropic case with Jx = Jy = Jz > 0. It is found that the model exhibits ferromagnetic, paramagnetic, random phase regions and an extra ferromagnetic phase at which the components of magnetizations present branching.

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来源期刊

Condensed Matter Physics 物理-物理：凝聚态物理

CiteScore

1.10

自引率

16.70%

发文量

审稿时长

1 months

期刊介绍： Condensed Matter Physics contains original and review articles in the field of statistical mechanics and thermodynamics of equilibrium and nonequilibrium processes, relativistic mechanics of interacting particle systems.The main attention is paid to physics of solid, liquid and amorphous systems, phase equilibria and phase transitions, thermal, structural, electric, magnetic and optical properties of condensed matter. Condensed Matter Physics is published quarterly.