Open AccessФазовая диаграмма модели Поттса с числом состояний спина q=4 на гексагональной решетке
Author(s) -
А.К. Муртазаев,
М.К. Мазагаева,
М.К. Рамазанов,
М.А. Магомедов,
А.А. Муртазаева
Publication year - 2021
Publication title -
fizika tverdogo tela
Language(s) - English
Resource type - Journals
eISSN - 1726-7498
pISSN - 0367-3294
DOI - 10.21883/ftt.2021.05.50812.270
Subject(s) - antiferromagnetism , condensed matter physics , frustration , phase diagram , k nearest neighbors algorithm , hexagonal lattice , ground state , phase transition , monte carlo method , physics , potts model , lattice (music) , exchange interaction , phase (matter) , statistical physics , mathematics , quantum mechanics , ferromagnetism , computer science , statistics , artificial intelligence , acoustics
We have carried out Monte Carlo investigations of the phase transitions, thermodynamic properties and ground-state magnetic structures in two-dimensional 4-state Potts model on a hexagonal lattice with the competing exchange interactions. Researches are carried out for the value of interaction of next-nearest neighbor in the range of 0.0≤r≤1.0. Taking into account of antiferromagnetic interaction of next-nearest neighbor is shown to lead to the violation of the magnetic ordering. The phase diagram of dependence of critical temperature on the value of interaction of next-nearest neighbor is plotted. Of the orders of phase transitions has been carried out. It is established that the phase transition of the first order is observed in the ranges of 0.0≤r≤0.2 and 0.7≤r≤1.0. In the range of 0.3≤r≤0.6 frustration are observed.