scholarly journals Griffiths-McCoy singularities in the dilute transverse-field Ising model: A numerical linked cluster expansion study

2019 ◽  
Vol 99 (3) ◽  
Author(s):  
Foster Thompson ◽  
Rajiv R. P. Singh
Keyword(s):  
Ising Model ◽  
Cluster Expansion ◽  
Transverse Field ◽  
Transverse Field 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.

scholarly journals Worm-algorithm-type simulation of the quantum transverse-field Ising model

2020 ◽  
Vol 102 (9) ◽  
Author(s):  
Chun-Jiong Huang ◽  
Longxiang Liu ◽  
Yi Jiang ◽  
Youjin Deng
Keyword(s):  
Ising Model ◽  
Transverse Field ◽  
Transverse Field Ising Model
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