Phase transitions in the three-state antiferromagnetic Potts model

1995 ◽  
Vol 52 (13) ◽  
pp. 9166-9169 ◽  
Author(s):  
P. J. Kundrotas ◽  
S. Lapinskas ◽  
A. Rosengren
Keyword(s):  
Phase Transitions ◽  
Potts Model ◽  
Antiferromagnetic Potts Model

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

2015 ◽  
Vol 233-234 ◽  
pp. 79-81 ◽  
Author(s):  
A.B. Babaev ◽  
A.K. Murtazaev ◽  
Rashid A. Murtazaliev
Keyword(s):  
Phase Transitions ◽  
Potts Model ◽  
Triangular Lattice ◽  
Two Dimensional ◽  
Nonmagnetic Impurities ◽  
First Order Phase Transition ◽  
The Monte Carlo Method ◽  
Antiferromagnetic Potts Model ◽  
Binder Cumulant ◽  
First Order Phase

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.

The Investigation of Phase Transitions in Two-Dimensional 3-State Antiferromagnetic Potts Model on a Triangular Lattice with Interaction of Next Nearest Neighbors

2014 ◽  
Vol 215 ◽  
pp. 52-54 ◽  
Author(s):  
Akai K. Murtazaev ◽  
A.B. Babaev ◽  
Felix A. Kassan-Ogly
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Monte Carlo Method ◽  
Potts Model ◽  
Triangular Lattice ◽  
Exchange Interactions ◽  
Nearest Neighbors ◽  
Two Dimensional ◽  
Critical Temperatures ◽  
Antiferromagnetic Potts Model

The phase transitions and critical phenomena in two-dimensional 3-state antiferromagnetic Potts model with account of next-nearest neighbors are investigated by Monte-Carlo method. The systems with linear sizesL=20-144 are explored. Following parities of exchange interactions are considered. Moreover, we analyze the character of phase transitions and determine the critical temperatures.

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