scholarly journals Quantum Ising model in a transverse random field: A density-matrix renormalization-group analysis

1997 ◽  
Vol 56 (17) ◽  
pp. 11097-11101 ◽  
Author(s):  
A. Juozapavičius ◽  
S. Caprara ◽  
A. Rosengren
Keyword(s):  
Renormalization Group ◽  
Ising Model ◽  
Density Matrix ◽  
Random Field ◽  
Group Analysis ◽  
Density Matrix Renormalization Group ◽  
Renormalization Group Analysis ◽  
Density Matrix Renormalization ◽  
Quantum Ising Model

scholarly journals ANALYTIC FORMULATIONS OF THE DENSITY MATRIX RENORMALIZATION GROUP

1996 ◽  
Vol 11 (17) ◽  
pp. 3145-3174 ◽  
Author(s):  
MIGUEL A. MARTÍN-DELGADO ◽  
GERMÁN SIERRA
Keyword(s):  
Renormalization Group ◽  
Ising Model ◽  
Density Matrix ◽  
Transverse Field ◽  
Density Matrix Renormalization Group ◽  
Critical Properties ◽  
Density Matrix Renormalization ◽  
Lattice Size ◽  
Target States ◽  
Block Renormalization Group

We present two new analytic formulations of the density matrix renormalization group (DMRG) method. In these formulations we combine the block renormalization group (BRG) procedure with the variational and Fokker-Planck methods. The BRG method is used to reduce the lattice size while the latter are used to construct approximate target states to compute the block density matrix. We apply our DMRG methods to the Ising model in a transverse field (ITF model) and compute several of its critical properties, which are then compared with the old BRG results.

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