Phase transitions in two-dimensional uniformly frustratedXY models. I. Antiferromagnetic model on a triangular lattice

1986 ◽  
Vol 43 (1-2) ◽  
pp. 1-16 ◽  
Author(s):  
S. E. Korshunov ◽  
G. V. Uimin
Keyword(s):  
Phase Transitions ◽  
Triangular Lattice ◽  
Two Dimensional ◽  
Frustratedxy Models ◽  
Antiferromagnetic Model

Phase transitions in the two-dimensional Falicov–Kimball model on the triangular lattice

2007 ◽  
Vol 244 (6) ◽  
pp. 1900-1907 ◽  
Author(s):  
Hana Čenčariková ◽  
Pavol Farkašovský
Keyword(s):  
Phase Transitions ◽  
Triangular Lattice ◽  
Two Dimensional

Phase transitions in two-dimensional ferromagnetic Potts model withq = 3 on a triangular lattice

2013 ◽  
Vol 39 (2) ◽  
pp. 147-150 ◽  
Author(s):  
A. K. Murtazaev ◽  
A. B. Babaev ◽  
G. Ya. Ataeva
Keyword(s):  
Phase Transitions ◽  
Potts Model ◽  
Triangular Lattice ◽  
Two Dimensional

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.

scholarly journals Phase Transitions in Two-Dimensional Systems of Janus-like Particles on a Triangular Lattice

2021 ◽  
Vol 22 (19) ◽  
pp. 10484
Author(s):  
Andrzej Patrykiejew
Keyword(s):  
Phase Diagram ◽  
Monte Carlo ◽  
Phase Transitions ◽  
Phase Behavior ◽  
Phase Diagrams ◽  
Triangular Lattice ◽  
Monte Carlo Methods ◽  
Orientational Order ◽  
Two Dimensional ◽  
Interaction Energies

We studied the phase behavior of two-dimensional systems of Janus-like particles on a triangular lattice using Monte Carlo methods. The model assumes that each particle can take on one of the six orientations with respect to the lattice, and the interactions between neighboring particles were weighted depending on the degree to which their A and B halves overlap. In this work, we assumed that the AA interaction was fixed and attractive, while the AB and BB interactions varied.We demonstrated that the phase behavior of the systems considered strongly depended on the magnitude of the interaction energies between the AB and BB halves. Here, we considered systems with non-repulsive interactions only and determined phase diagrams for several systems. We demonstrated that the phase diagram topology depends on the temperature at which the close-packed systems undergo the orientational order–disorder transition.

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