On the validity of scaling theory for the anisotropic ising model

1972 ◽  
Vol 38 (2) ◽  
pp. 107-108 ◽  
Author(s):  
I.G Enting ◽  
J Oitmaa
Keyword(s):  
Ising Model ◽  
Scaling Theory

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.

SPIN ONE ISING MODEL WITH COMPETING INTERACTIONS ON THE BETHE LATTICE

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1031-C8-1032
Author(s):  
S. Coutinho ◽  
C. R. da Silva
Keyword(s):  
Ising Model ◽  
Bethe Lattice ◽  
Competing Interactions

CRITICAL DYNAMICS OF THE ISING MODEL WITH ISING MACHINE

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1397-C8-1398 ◽  
Author(s):  
N. Ito ◽  
M. Taiji ◽  
M. Suzuki
Keyword(s):  
Ising Model ◽  
Critical Dynamics

Dipole Ising model for the crystals of Sn2P2S6 family

1999 ◽  
Vol 4 (0) ◽  
pp. 112-119
Author(s):  
О. В. Дробнич ◽  
Ю. М. Височанський
Keyword(s):  
Ising Model
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