Frustrated antiferromagnetic spin 1 Heisenberg model with single ion anisotropy on a simple cubic lattice

2012 ◽  
Vol 152 (13) ◽  
pp. 1094-1097 ◽  
Author(s):  
G.M.A. Sousa ◽  
A.S.T. Pires
Keyword(s):  
Heisenberg Model ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Antiferromagnetic Spin

CRITICAL TEMPERATURES AND MEAN-FIELD CRITICAL COEFFICIENTS FOR THE HEISENBERG MODEL BASED ON CVM

1992 ◽  
Vol 06 (13) ◽  
pp. 2363-2374
Author(s):  
GIICHI TANAKA ◽  
MINORU KIMURA
Keyword(s):  
Heisenberg Model ◽  
Mean Field ◽  
Three Dimensional ◽  
Cluster Variation Method ◽  
Variation Method ◽  
Critical Temperatures ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Cluster Variation

Critical temperatures T c and mean-field critical coefficients [Formula: see text] for susceptibilities are calculated by a cluster-variation method (CVM) for a three-dimensional Heisenberg model on a simple cubic lattice. Both the full CVM based on a 4-spin cluster and the SCVM are applied and the same values for T c and [Formula: see text] are obtained by three different approximation in the SCVM. The results are compared with those obtained by the same approach for the three-dimensional Ising model on the simple cubic lattice.

Critically of the anisotropic quantum Heisenberg model on a simple cubic lattice

1985 ◽  
Vol 108 (2) ◽  
pp. 95-98 ◽  
Author(s):  
A.M. Mariz ◽  
R.M. Zorzenon Dos Santos ◽  
C. Tsallis ◽  
R.R. Dos Santos
Keyword(s):  
Heisenberg Model ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice

COHERENT-ANOMALY METHOD FOR QUANTUM SPIN SYSTEMS

1988 ◽  
Vol 02 (01) ◽  
pp. 1-11 ◽  
Author(s):  
NOBUYASU ITO ◽  
MASUO SUZUKI
Keyword(s):  
Critical Exponents ◽  
Heisenberg Model ◽  
Spontaneous Magnetization ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Cubic Lattice ◽  
Bethe Approximation ◽  
Simple Cubic ◽  
Simple Cubic Lattice

The coherent-anomaly method (CAM) is applied to the Heisenberg model to test the applicability of the CAM for quantum spin systems. The Weiss, Bethe and constant coupling approximations are tried for the Heisenberg model on the simple cubic lattice and estimate the critical exponents of the susceptibility and spontaneous magnetization using the CAM. The results show that the CAM is also powerful for quantum spin systems. The detailed results of the Bethe approximation of the spin-1/2 isotropic Heisenberg model are presented.

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