Equations of motion for the transverse correlations of the one-dimensional XY-model at finite temperature

1980 ◽  
Vol 79 (1) ◽  
pp. 1-2 ◽  
Author(s):  
J.H.H. Perk
Keyword(s):  
Finite Temperature ◽  
Equations Of Motion ◽  
Xy Model ◽  
One Dimensional ◽  
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.

scholarly journals Out-of-time-order correlators in the one-dimensional XY model

2020 ◽  
Vol 72 (8) ◽  
pp. 085103
Author(s):  
Jia-Hui Bao ◽  
Cheng-Yong Zhang
Keyword(s):  
Xy Model ◽  
One Dimensional ◽  
Time Order ◽  
The One

scholarly journals Markovian and Non-Markovian Dynamics in the One-Dimensional Transverse-Field XY Model

2019 ◽  
Vol 176 (2) ◽  
pp. 492-504
Author(s):  
Z. Saghafi ◽  
S. Mahdavifar ◽  
E. Hosseini Lapasar
Keyword(s):  
Transverse Field ◽  
Xy Model ◽  
One Dimensional ◽  
Markovian Dynamics ◽  
The One
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