Ising model in an external field on a hierarchical lattice

1994 ◽  
Vol 75 (5-6) ◽  
pp. 1119-1135 ◽  
Author(s):  
F. T. Lee ◽  
M. C. Huang
2018 ◽  
Vol 2018 (3) ◽  
pp. 147-155
Author(s):  
M.M. Rakhmatullaev ◽  
M.A. Rasulova

2009 ◽  
Vol 78 (7) ◽  
pp. 074004 ◽  
Author(s):  
Hiroyuki Kobayashi ◽  
Yoshiyuki Fukumoto ◽  
Akihide Oguchi

1985 ◽  
Vol 41 (1-2) ◽  
pp. 299-313 ◽  
Author(s):  
S. R. Salinas ◽  
W. F. Wreszinski

2009 ◽  
Vol 20 (09) ◽  
pp. 1357-1366 ◽  
Author(s):  
SHAN-HO TSAI ◽  
FUGAO WANG ◽  
D. P. LANDAU

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.


2005 ◽  
Vol 16 (08) ◽  
pp. 1217-1224 ◽  
Author(s):  
MELANIE SCHULTE ◽  
CAROLINE DROPE

We investigate as a member of the Ising universality class the Next-Nearest Neighbor Ising model without external field on a simple cubic lattice by using the Monte Carlo Metropolis Algorithm. The Binder cumulant and the susceptibility ratio, which should be universal quantities at the critical point, were shown to vary for small negative next-nearest neighbor interactions.


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