Exact Renormalization Analysis of a Self-Similar Phase Diagram with Upsilon Points for an Ising Model

1999 ◽  
Vol 68 (11) ◽  
pp. 3562-3574 ◽  
Author(s):  
Kazuo Sasaki
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
Self Similar ◽  
Similar Phase ◽  
Similar Phase Diagram

Phase diagram of the dilute antiferromagnetic Ising model

1998 ◽  
Vol 244 (1-3) ◽  
pp. 165-168 ◽  
Author(s):  
E.E. Reinehr ◽  
W. Figueiredo
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
Antiferromagnetic Ising Model

TWO-DIMENSIONAL WANG–LANDAU SAMPLING OF AN ASYMMETRIC ISING MODEL

2009 ◽  
Vol 20 (09) ◽  
pp. 1357-1366 ◽  
Author(s):  
SHAN-HO TSAI ◽  
FUGAO WANG ◽  
D. P. LANDAU
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
External Field ◽  
Density Of States ◽  
Triangular Lattice ◽  
Sampling Method ◽  
Two Dimensional ◽  
Theoretical Predictions ◽  
The Spectator ◽  
Three Body

We study the critical endpoint behavior of an asymmetric Ising model with two- and three-body interactions on a triangular lattice, in the presence of an external field. We use a two-dimensional Wang–Landau sampling method to determine the density of states for this model. An accurate density of states allowed us to map out the phase diagram accurately and observe a clear divergence of the curvature of the spectator phase boundary and of the derivative of the magnetization coexistence diameter near the critical endpoint, in agreement with previous theoretical predictions.

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