Surface critical behavior of the smoothly inhomogeneous Ising model

1984 ◽  
Vol 29 (1) ◽  
pp. 508-510 ◽  
Author(s):  
Theodore W. Burkhardt ◽  
Ihnsouk Guim
Keyword(s):  
Ising Model ◽  
Critical Behavior ◽  
Surface Critical Behavior ◽  
Inhomogeneous Ising Model

scholarly journals Surface Critical Behavior of Two-Dimensional Dilute Ising Models

1997 ◽  
Vol 89 (5-6) ◽  
pp. 1079-1085 ◽  
Author(s):  
W. Selke ◽  
F. Szalma ◽  
P. Lajkó ◽  
F. Iglói
Keyword(s):  
Critical Behavior ◽  
Ising Models ◽  
Two Dimensional ◽  
Surface Critical Behavior

Corner transfer matrix study of an inhomogeneous Ising model

1992 ◽  
Vol 504 (2) ◽  
pp. 125-133 ◽  
Author(s):  
Ingo Peschel ◽  
Roland Wunderling
Keyword(s):  
Ising Model ◽  
Transfer Matrix ◽  
Inhomogeneous Ising Model

scholarly journals Pseudo-Yang-Lee Edge Singularity Critical Behavior in a Non-Hermitian Ising Model

Entropy ◽  
2020 ◽  
Vol 22 (7) ◽  
pp. 780
Author(s):  
Liang-Jun Zhai ◽  
Guang-Yao Huang ◽  
Huai-Yu Wang
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Critical Behavior ◽  
Critical Region ◽  
Numerical Study ◽  
Transverse Field ◽  
Scaling Theory ◽  
New Order ◽  
Edge Singularity ◽  
Transverse Field Ising Model

The quantum phase transition of a one-dimensional transverse field Ising model in an imaginary longitudinal field is studied. A new order parameter M is introduced to describe the critical behaviors in the Yang-Lee edge singularity (YLES). The M does not diverge at the YLES point, a behavior different from other usual parameters. We term this unusual critical behavior around YLES as the pseudo-YLES. To investigate the static and driven dynamics of M, the (1+1) dimensional ferromagnetic-paramagnetic phase transition ((1+1) D FPPT) critical region, (0+1) D YLES critical region and the (1+1) D YLES critical region of the model are selected. Our numerical study shows that the (1+1) D FPPT scaling theory, the (0+1) D YLES scaling theory and (1+1) D YLES scaling theory are applicable to describe the critical behaviors of M, demonstrating that M could be a good indicator to detect the phase transition around YLES. Since M has finite value around YLES, it is expected that M could be quantitatively measured in experiments.

Sign in / Sign up

Export Citation Format

Share Document