Open AccessКомпьютерное моделирование фазовых переходов и критических свойств фрустрированной модели Гейзенберга на кубической решетке
Author(s) -
М.К. Рамазанов,
А.К. Муртазаев
Publication year - 2020
Publication title -
fizika tverdogo tela
Language(s) - English
Resource type - Journals
eISSN - 1726-7498
pISSN - 0367-3294
DOI - 10.21883/ftt.2020.06.49340.30m
Subject(s) - antiferromagnetism , k nearest neighbors algorithm , phase diagram , critical exponent , scaling , renormalization group , statistical physics , monte carlo method , condensed matter physics , phase transition , physics , universality (dynamical systems) , mathematics , phase (matter) , mathematical physics , quantum mechanics , geometry , statistics , computer science , artificial intelligence
The phase transitions and critical properties of the Heisenberg antiferromagnetic model on a cubic lattice with nearest and next-nearest-neighbor interactions are investigated by the replica Monte Carlo method. The range of values of the interaction of the next-nearest-neighbor is considered 0.0 ≤ r ≤ 1.0. The phase diagram relating the transition temperature and the magnitude of next-nearest neighbor interactions is constructed. It is shown that a second order phase transition occurs in the r range under study. The values of all the main static critical exponents are calculated by means of the finite-size scaling theory. It is shown that the universality class of the critical behavior of this model is preserved in the range of 0.0 ≤ r ≤ 0.4.