Ising model with a transverse field in two dimensions: Phase diagram and critical properties from a real-space renormalization group

1978 ◽  
Vol 17 (3) ◽  
pp. 1429-1432 ◽  
Author(s):  
Zvi Friedman
Keyword(s):  
Phase Diagram ◽  
Renormalization Group ◽  
Ising Model ◽  
Transverse Field ◽  
Real Space ◽  
Two Dimensions ◽  
Critical Properties ◽  
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.

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