scholarly journals Real-space renormalization group study of the anisotropic antiferromagnetic Heisenberg model on a square lattice

2000 ◽  
Vol 62 (9) ◽  
pp. 5742-5745 ◽  
Author(s):  
N. S. Branco ◽  
J. Ricardo de Sousa
Keyword(s):  
Renormalization Group ◽  
Heisenberg Model ◽  
Real Space ◽  
Square Lattice ◽  
Real Space Renormalization Group ◽  
Antiferromagnetic Heisenberg Model

MONTE CARLO RENORMALIZATION GROUP STUDIES OF ANISOTROPIC BOND PERCOLATION

1992 ◽  
Vol 06 (09) ◽  
pp. 1505-1515 ◽  
Author(s):  
C.S. KIM ◽  
MIN-HO LEE
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Universality Class ◽  
Real Space ◽  
Square Lattice ◽  
Group Method ◽  
Scaling Exponent ◽  
Renormalization Group Method ◽  
Real Space Renormalization Group ◽  
Monte Carlo Renormalization Group

In complete analogy with thermal critical phenomena, it is expected that anisotropic percolation is in the same universality class as the isotropic one. However the previous result, obtained from the closed form conventional cell real space renormalization group method on the square lattice, the isotropic fixed point is completely unstable is known. We examine this in the large cell limit by using a Monte Carlo renormalization group method and show that the scaling exponent associated with anisotropy is not relevant.

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