Transitions de phases à T = 0 dans les systèmes quantiques par le groupe de renormalisation dans l'espace réel

1981 ◽  
Vol 59 (5) ◽  
pp. 605-631 ◽  
Author(s):  
R. Jullien
Keyword(s):  
Disordered Systems ◽  
Real Space ◽  
Quantum Systems ◽  
Kondo Lattice ◽  
Group Method ◽  
Renormalization Group Method ◽  
Fermion Systems ◽  
Real Space Renormalization Group ◽  
Kondo Lattice Model ◽  
Transition Studies

The relevance of phase transition studies to the ground state of quantum systems is explained, and a real-space renormalization group method well adapted to such studies is described. The various improvements and extensions of the method are reviewed, with particular emphasis, in terms of applications, on the study of frustration in quantum systems, the study of interacting fermion systems (Hubbard model, Kondo lattice model), and the study of disordered systems.[Journal translation]

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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