Low-Temperature Behavior of Antiferromagnetic Ising Model on Triangular Lattice

1992 ◽  
Vol 61 (1) ◽  
pp. 64-69 ◽  
Author(s):  
Tsuyoshi Horiguchi ◽  
Kazuyuki Tanaka ◽  
Tohru Morita
Keyword(s):  
Ising Model ◽  
Low Temperature ◽  
Triangular Lattice ◽  
Temperature Behavior ◽  
Antiferromagnetic Ising Model

Low-Temperature Behaviors of Antiferromagnetic Ising Model of Infinite-Spin on Triangular Lattice

1992 ◽  
Vol 61 (9) ◽  
pp. 3114-3124 ◽  
Author(s):  
Tsuyoshi Horiguchi ◽  
Ojiro Nagai ◽  
Seiji Miyashita ◽  
Yukio Miyatake ◽  
Yoshiki Seo
Keyword(s):  
Ising Model ◽  
Low Temperature ◽  
Triangular Lattice ◽  
Antiferromagnetic Ising Model

PHASE BOUNDARY AND UNIVERSALITY OF THE TRIANGULAR LATTICE ANTIFERROMAGNETIC ISING MODEL

1992 ◽  
Vol 06 (17) ◽  
pp. 2913-2924 ◽  
Author(s):  
JAE DONG NOH ◽  
DOOCHUL KIM
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Phase Boundary ◽  
Triangular Lattice ◽  
Central Charge ◽  
Universality Class ◽  
Zero Field ◽  
Crossover Effect ◽  
Matrix Methods ◽  
Antiferromagnetic Ising Model

Transfer matrix methods are used to locate accurate phase boundary of the triangular lattice antiferromagnetic Ising model in magnetic field. Universal quantities such as the central charge and the first few scaling dimensions are obtained along the phase boundary except near the zero field point where the crossover effect degrades convergence. Numerical results are fully consistent with the operator content of the 3-state Potts model indicating that whole phase boundary belongs to the 3-state Potts universality class.

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