scholarly journals Random Quantum Spin Chains: A Real-Space Renormalization Group Study

1995 ◽  
Vol 75 (23) ◽  
pp. 4302-4305 ◽  
Author(s):  
E. Westerberg ◽  
A. Furusaki ◽  
M. Sigrist ◽  
P. A. Lee
Keyword(s):  
Renormalization Group ◽  
Real Space ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Real Space Renormalization Group

A UNIFIED RENORMALIZATION GROUP STUDY OF THE 1D ISING MODEL WITH TRANSVERSE FIELD

1995 ◽  
Vol 09 (02) ◽  
pp. 103-111
Author(s):  
C. Y. PAN ◽  
H.Q. LIN
Keyword(s):  
Renormalization Group ◽  
Ising Model ◽  
Transverse Field ◽  
Real Space ◽  
Mapping Method ◽  
Quantum Spin ◽  
Quantum Spin Systems ◽  
Real Space Renormalization Group ◽  
Group Methods ◽  
The One

By applying a unified real space renormalization group (URG) mapping method, we study the one-dimensional spin-1/2 Ising model with a transverse field (ITF). Unlike the other real space renormalization group methods, the URG method describes the properties of the model at both zero and finite temperatures in a unified way. The results obtained are in good agreement with that obtained by other methods. Application of the URG method to other quantum spin systems is discussed.

RENORMALIZATION-GROUP INVESTIGATION OF THE S = 1 RANDOM ANTIFERROMAGNETIC HEISENBERG CHAIN

2006 ◽  
Vol 17 (12) ◽  
pp. 1739-1753 ◽  
Author(s):  
PÉTER LAJKÓ
Keyword(s):  
Phase Diagram ◽  
Renormalization Group ◽  
Density Matrix ◽  
Energy Scale ◽  
Quantum Spin ◽  
Spin Chains ◽  
Density Matrix Renormalization Group ◽  
Heisenberg Chain ◽  
Quantum Spin Chains ◽  
Density Matrix Renormalization

We introduce variants of the Ma-Dasgupta renormalization-group (RG) approach for random quantum spin chains, in which the energy-scale is reduced by decimation built on either perturbative or non-perturbative principles. In one non-perturbative version of the method, we require the exact invariance of the lowest gaps, while in a second class of perturbative Ma-Dasgupta techniques, different decimation rules are utilized. For the S = 1 random antiferromagnetic Heisenberg chain, both type of methods provide the same type of disorder dependent phase diagram, which is in agreement with density-matrix renormalization-group calculations and previous studies.

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