Open AccessКритические свойства в модели Изинга на треугольной решетке с переменным межслойным обменным взаимодействием
Author(s) -
А. К. Муртазаев,
М. К. Рамазанов,
М. К. Бадиев
Publication year - 2019
Publication title -
fizika tverdogo tela
Language(s) - English
Resource type - Journals
eISSN - 1726-7498
pISSN - 0367-3294
DOI - 10.21883/ftt.2019.10.48267.469
Subject(s) - renormalization group , critical exponent , ising model , monte carlo method , scaling , antiferromagnetism , universality (dynamical systems) , exponent , physics , condensed matter physics , statistical physics , phase transition , mathematics , mathematical physics , statistics , geometry , linguistics , philosophy
The Monte Carlo replica algorithm studies of phase transitions and critical phenomenaofthe layered triangular antiferromagnetic Ising model withvariable interlayer exchange interaction. Investigations were carried out for the ratios of the value of the intralayerJ1 and interlayer J2 exchange interactions in the range of values r = J2 / J1 = 0.01 ÷ 1.0. It was found that in the above range r is observed second-order phase transition.Static critical exponents for the heat capacityα, susceptibility γ, order parameter β, correlation radius ν, and the Fisher exponent ηare computed by means of the finite-size scaling theory. It is shown that the universality class of the critical behavior of the model is maintained in the range of 0.05 <r≤1.0.The results obtained suggest that3D frustrated Ising models on stacked triangularlattice with interlayer-to-intralayer exchange ratio 0.05<r≤1.0. preserves the universality class of criticalbehavior. At lower r, a crossover from 3D to 2D criticalbehavior is observed.