Finite-temperature quantum renormalization-group theory for the one-dimensional anisotropic Heisenberg model

1981 ◽  
Vol 23 (5) ◽  
pp. 2247-2256 ◽  
Author(s):  
A. J. Berlinsky ◽  
C. Kallin
Keyword(s):  
Renormalization Group ◽  
Group Theory ◽  
Finite Temperature ◽  
Heisenberg Model ◽  
Renormalization Group Theory ◽  
One Dimensional ◽  
Anisotropic Heisenberg Model ◽  
The One

CRITICAL DYNAMICS OF THE XY-MODEL ON THE ONE-DIMENSIONAL SUPERLATTICE BY POSITION SPACE RENORMALIZATION GROUP

1996 ◽  
Vol 10 (22) ◽  
pp. 1077-1083 ◽  
Author(s):  
J.P. DE LIMA ◽  
L.L. GONÇALVES
Keyword(s):  
Renormalization Group ◽  
Equations Of Motion ◽  
Xy Model ◽  
Dynamic Scaling ◽  
Critical Dynamics ◽  
Renormalization Group Theory ◽  
Position Space ◽  
One Dimensional ◽  
Homogeneous Lattice ◽  
The One

The critical dynamics of the isotropic XY-model on the one-dimensional superlattice is considered in the framework of the position space renormalization group theory. The decimation transformation is introduced by considering the equations of motion of the operators associated to the excitations of the system, and it corresponds to an extension of the procedure introduced by Stinchcombe and dos Santos (J. Phys. A18, L597 (1985)) for the homogeneous lattice. The dispersion relation is obtained exactly and the static and dynamic scaling forms are explicitly determined. The dynamic critical exponent is also obtained and it is shown that it is identical to the one of the XY-model on the homogeneous chain.

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