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Thermodynamic and critical behavior of a strongly diluted low-dimensional antiferromagnetic Potts model on a triangular lattice

Albert Babaevich Babaev, Akai Kurbanovich Murtazaev, G. Ya. Ataeva

Термодинамические и критические свойства сильно разбавленной низкоразмерной антиферромагнитной модели Поттса на треугольной решетке 1 Институт физики им.Х.И.Амирханова Дагестанского научного центра РАН; Россия, 367003, г.Махачкала, ул.М. Ярагского, 94; b_albert78

HERALD of Dagestan State UniversityJan 1, 20180 citations

Investigation of the Potts Model on Triangular Lattices by the Second Renormalization of Tensor Network States

Wang Meng-Xiong, Cai Jian-Wei, Z. Y. Xie +3 more

We employ the second renormalization group method of tensor-network states to investigate thermodynamic properties of the ferromagnetic and antiferromagnetic Potts model on triangular lattices. From the temperature dependence of the internal energy and the specific heat, both the critical temperatures and critical exponents are evaluated. For the q = 3 antiferromagnetic Potts model, the critical temperature is found to be T c = 0.627163±0.000003, which is at least one order of magnitude more accurate than that obtained by other methods.We employ the second renormalization group method of tensor-network states to investigate thermodynamic properties of the ferromagnetic and antiferromagnetic Potts model on triangular lattices. From the temperature dependence of the internal energy and the specific heat, both the critical temperatures and critical exponents are evaluated. For the q = 3 antiferromagnetic Potts model, the critical temperature is found to be T c = 0.627163±0.000003, which is at least one order of magnitude more accurate than that obtained by other methods.

Chinese Physics LettersJul 1, 20108 citations

Ground-state properties of the q-state Potts antiferromagnetic on the square lattice

Dragan Slavkov Hajdukovic, S. Milošević

Physics Letters AOct 1, 19840 citations

Influence of Quenched Nonmagnetic Impurities on Phase Transitions in Two-Dimensional 3-State Antiferromagnetic Potts Model on Triangular Lattice

Albert Babaevich Babaev, Akai Kurbanovich Murtazaev, Rashid A. Murtazaliev

An influence of quenched nonmagnetic disorder on the phase transitions in the two dimensional antiferromagnetic Potts model with a number of spin state q=3 on a triangular lattice is calculated by the Monte-Carlo method. The systems with linear sizes L=20÷144 at spin concentrations p=1.00, 0.90, 0.80 are studied. By means of the fourth order Binder cumulant method, the inclusion of a quenched disorder as nonmagnetic impurities into a pure antiferromagnetic Potts model is shown to be the cause of the change of the first order phase transition into the second one.An influence of quenched nonmagnetic disorder on the phase transitions in the two dimensional antiferromagnetic Potts model with a number of spin state q=3 on a triangular lattice is calculated by the Monte-Carlo method. The systems with linear sizes L=20÷144 at spin concentrations p=1.00, 0.90, 0.80 are studied. By means of the fourth order Binder cumulant method, the inclusion of a quenched disorder as nonmagnetic impurities into a pure antiferromagnetic Potts model is shown to be the cause of the change of the first order phase transition into the second one.

Diffusion and defect data, solid state data. Part B, Solid state phenomena/Solid state phenomenaJul 1, 20151 citation

Phase transitions of the three-state antiferromagnetic Potts model in three dimensions

Ryo Kishi, Yotaro Ueno, 上野陽太郎

Jan 1, 19980 citations

Critical properties of 2d disordered 3-state antiferromagnetic potts model ON TRIANGULAR LATTICE

Akai Kurbanovich Murtazaev, Albert Babaevich Babaev, G. Ya. Ataeva

By introducing a small amount of non-magnetic impurities into an antiferromagnetic (AF) two-dimensional (2D) Potts model on a triangular lattice it is that the impurities in spin systems described by this model result in the change of a first order to a second-order phase transition. The systems with linear sizes L × L = N, L = 9-144 are considered. Investigations are performed using the standard Metropolis algorithm along with Monte-Carlo single-cluster Wolff algorithm. On the basis of the theory of finite-size scaling, critical exponents (CE) are calculated: the heat capacity α, the susceptibility γ, the order parameter β, and the CE of the correlation radius ν.By introducing a small amount of non-magnetic impurities into an antiferromagnetic (AF) two-dimensional (2D) Potts model on a triangular lattice it is that the impurities in spin systems described by this model result in the change of a first order to a second-order phase transition. The systems with linear sizes L × L = N, L = 9-144 are considered. Investigations are performed using the standard Metropolis algorithm along with Monte-Carlo single-cluster Wolff algorithm. On the basis of the theory of finite-size scaling, critical exponents (CE) are calculated: the heat capacity α, the susceptibility γ, the order parameter β, and the CE of the correlation radius ν.

EPJ Web of ConferencesJan 1, 20180 citations

Investigation of the Potts Model on Triangular Lattices by the Second Renormalization of Tensor Network States

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Investigation of the Potts Model on Triangular Lattices by the Second Renormalization of Tensor Network States

Abstract

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