Monte Carlo studies of the critical behavior of site-dilute two-dimensional Ising models

1976 ◽  
Vol 13 (7) ◽  
pp. 2962-2964 ◽  
Author(s):  
W. Y. Ching ◽  
D. L. Huber
Keyword(s):  
Monte Carlo ◽  
Critical Behavior ◽  
Ising Models ◽  
Two Dimensional ◽  
Monte Carlo Studies

scholarly journals Surface Critical Behavior of Two-Dimensional Dilute Ising Models

1997 ◽  
Vol 89 (5-6) ◽  
pp. 1079-1085 ◽  
Author(s):  
W. Selke ◽  
F. Szalma ◽  
P. Lajkó ◽  
F. Iglói
Keyword(s):  
Critical Behavior ◽  
Ising Models ◽  
Two Dimensional ◽  
Surface Critical Behavior

scholarly journals Generalized Monte Carlo loop algorithm for two-dimensional frustrated Ising models

2012 ◽  
Vol 85 (3) ◽  
Author(s):  
Yuan Wang ◽  
Hans De Sterck ◽  
Roger G. Melko
Keyword(s):  
Monte Carlo ◽  
Ising Models ◽  
Two Dimensional

MONTE CARLO SIMULATION OF THE CRITICAL PROPERTIES OF QUASI-TWO-DIMENSIONAL QUANTUM HEISENBERG SYSTEMS

1994 ◽  
Vol 01 (02n03) ◽  
pp. 239-252 ◽  
Author(s):  
I.V. ROJDESTVENSKI ◽  
M.G. COTTAM ◽  
I.A. FAVORSKI ◽  
T. KUZNETSOVA ◽  
P.N. VORONTSOV-VELYAMINOV
Keyword(s):  
Monte Carlo ◽  
Critical Behavior ◽  
Ultrathin Films ◽  
Nearest Neighbor ◽  
Spin Correlation ◽  
Two Dimensional ◽  
Critical Properties ◽  
Simple Cubic ◽  
Correlation Range ◽  
Exchange Parameters

The critical properties of spin S=1/2 isotropic Heisenberg ferromagnetic ultrathin films are investigated using the Handscomb Monte Carlo technique. We study a simple cubic lattice with nearest neighbor interactions, including the effects of different values for the interlayer and intralayer exchange parameters. The number of monolayers is taken as 1, 2, or 3, and also we examine the effects of dilution in one of the layers. Numerical calculations are presented for the critical behavior of the longitudinal susceptibility and the spin correlation range. The results are interpreted in terms of a two-dimensional type of critical behavior with renormalized (modified) exchange parameters.

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