Partition function zeros of the antiferromagnetic Ising model on triangular lattice in the complex temperature plane for nonzero magnetic field

2008 ◽  
Vol 805 (3) ◽  
pp. 441-450 ◽  
Author(s):  
Seung-Yeon Kim ◽  
Chi-Ok Hwang ◽  
Jin Min Kim
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Partition Function ◽  
Triangular Lattice ◽  
Partition Function Zeros ◽  
Antiferromagnetic Ising Model ◽  
Complex Temperature ◽  
Function Zeros

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.

scholarly journals YANG–LEE AND FISHER ZEROS GENERALIZED ON SOME FAR-FROM-EQUILIBRIUM SYSTEMS

2009 ◽  
Vol 23 (03) ◽  
pp. 375-381
Author(s):  
K. G. SARGSYAN
Keyword(s):  
Ising Model ◽  
Partition Function ◽  
Minimal Models ◽  
Partition Function Zeros ◽  
Nontrivial Behavior ◽  
Far From Equilibrium ◽  
Fisher Zeros ◽  
Function Zeros ◽  
Simple Models

A generalization of the Yang–Lee and Fisher zeros on far-from-equilibrium systems coupled with two thermal baths is proposed. The Yang–Lee zeros were obtained for minimal models which exhibit complicated behavior in the context of the partition function zeros and provide an analitycal treatment. This type of model may be considered as a simplest one and analogous to Ising model for equilibrium. The obtained distributions of generalized Yang–Lee zeros show nontrivial behavior for these simple models.

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