Critical Point of the Honeycomb Antiferromagnetic Ising Model in a Nonzero Magnetic Field: An Analytical Analysis

1992 ◽  
Vol 17 (4) ◽  
pp. 425-428
Author(s):  
Y.X. Song ◽  
J.M. Yang ◽  
G.R. Lu
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Critical Point ◽  
Analytical Analysis ◽  
Antiferromagnetic Ising Model

CRITICAL POINT OF THE HONEYCOMB ANTIFERROMAGNETIC ISING MODEL IN A NONZERO MAGNETIC FIELD: FINITE-SIZE ANALYSIS

1990 ◽  
Vol 04 (04) ◽  
pp. 619-629 ◽  
Author(s):  
H. W. J. BLÖTE ◽  
F. Y. WU ◽  
X. N. WU
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Critical Point ◽  
Lattice Gas ◽  
Nearest Neighbor ◽  
Finite Size ◽  
Size Analysis ◽  
Honeycomb Lattice ◽  
Correlation Lengths ◽  
Antiferromagnetic Ising Model

In this paper we present highly accurate numerical results of the determination of the critical point of the antiferromagnetic Ising model in a nonzero magnetic field for the honeycomb lattice, including the critical fugacity of a nearest-neighbor exclusion lattice gas. We compute the correlation length of the Ising model using a transfer matrix approach, and locate the critical point from the data on the correlation lengths using finite-size analysis. For the purpose of a maximum numerical accuracy, the analysis is carried out by taking transfer matrices proceeding in two perpendicular directions of the lattice.

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 Antiferromagnetic Ising model in an imaginary magnetic field

2017 ◽  
Vol 96 (3) ◽  
Author(s):  
Vicente Azcoiti ◽  
Giuseppe Di Carlo ◽  
Eduardo Follana ◽  
Eduardo Royo-Amondarain
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Antiferromagnetic Ising Model
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