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]
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.
Two-channel Kondo lattice model on a ladder studied by the density-matrix renormalization-group method
