Studying the Effect of Strong Magnetic Fields on the Phase Transitions of the Frustrated Potts Model with a Number of Spin States q = 4,Physics of Metals and Metallography

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Studying the Effect of Strong Magnetic Fields on the Phase Transitions of the Frustrated Potts Model with a Number of Spin States q = 4
Physics of Metals and Metallography ( IF 1.1 ) Pub Date : 2022-05-10 , DOI: 10.1134/s0031918x22030085
M. K. Ramazanov ₁ , M. A. Magomedov ₁ , M. K. Mazagaeva ₁ , A. A. Murtazaeva ₁ , A. K. Murtazaev ₂

Affiliation

Abstract

The phase transitions and thermodynamic properties of the two-dimensional Potts model with a number of spin states q = 4 are studied on the basis of a replica algorithm by the Monte Carlo method on a hexagonal lattice with consideration for the interaction between the first and second nearest neighbors in an external magnetic field. The studies are performed for magnetic field values within a range 0.0 ≤ h ≤ 7.0 with a step of 1.0. The magnetic structures of the ground states are constructed. It is revealed that a first-order phase transition occurs within the considered range of magnetic field values. It is demonstrated that magnetic field within a range 4.0 ≤ h ≤ 7.0 lifts the ground state degeneracy, and the phase transition becomes smeared.

中文翻译：

研究强磁场对具有多个自旋态 q = 4 的受挫波茨模型的相变的影响

摘要

基于蒙特卡罗方法在六方晶格上的复制算法，考虑第一和第二之间的相互作用，研究了具有多个自旋态q = 4的二维Potts模型的相变和热力学性质外磁场中最近的邻居。对 0.0 ≤ h ≤ 7.0范围内的磁场值进行研究，步长为 1.0。构建了基态的磁性结构。结果表明，在所考虑的磁场值范围内发生了一级相变。结果表明，在 4.0 ≤ h ≤ 7.0范围内的磁场提升了基态简并性，并且相变变得模糊。

更新日期：2022-05-11

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