Open AccessКритическая температура трехвершинной модели Поттса на решетке Кагоме
Author(s) -
А.Б. Бабаев,
А.К. Муртазаев
Publication year - 2019
Publication title -
fizika tverdogo tela
Language(s) - English
Resource type - Journals
eISSN - 1726-7498
pISSN - 0367-3294
DOI - 10.21883/ftt.2019.07.47848.400
Subject(s) - potts model , monte carlo method , lattice (music) , transfer matrix , statistical physics , boundary value problem , periodic boundary conditions , mathematics , cumulant , specific heat , square lattice , thermodynamics , physics , mathematical analysis , ising model , statistics , computer science , acoustics , computer vision
The Potts model on the Kagome lattice is considered. The Monte Carlo method is used to obtain the temperature dependences of the thermodynamic parameters of heat capacity C, order parameter m, and susceptibility χ. The calculations were performed for systems with periodic boundary conditions. Systems with linear dimensions LxL = N, L = 20-90 were considered. Based on the fourth order Binder cumulant method, the critical temperature (Tc) was calculated for the three-vertex Potts model on the Kagome lattice. It is shown that the obtained Tc value within the statistical error is in good agreement with the results obtained using the transfer-matrix and polynomial approximation methods.