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
2009 ◽  
Vol 373 (16) ◽  
pp. 1444-1448 ◽  
Author(s):  
Wen-Long You ◽  
Wen-Long Lu

1994 ◽  
Vol 08 (14n15) ◽  
pp. 871-882 ◽  
Author(s):  
J. P. DE LIMA ◽  
L. L. GONÇALVES

The one-dimensional (s = 1/2, open chain) isotropic ferromagnetic XY model in an inhomogeneous transverse field is considered. The exact profile of the induced magnetization is obtained by using the Green function technique. Results are presented for the magnetization profile at different finite temperatures and various strengths of the field. In the scaling region, from the analytical results obtained for the profile of the interface at T = 0, and by a suitable renormalization of the magnetization, it is shown that near the critical point it satisfies a scaling relation identical to the one obtained by van der Waals theory for fluids, provided the correlation length is adequately defined.


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

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