Numerical study of the SK spin glass in a transverse field by the pair approximation

1991 ◽  
Vol 3 (36) ◽  
pp. 7039-7046 ◽  
Author(s):  
T Yokota
Keyword(s):  
Spin Glass ◽  
Numerical Study ◽  
Transverse Field ◽  
Pair Approximation

The Potts spin-glass in a transverse field

1992 ◽  
Vol 2 (1) ◽  
pp. 31-39 ◽  
Author(s):  
Yadin Y. Goldschmidt
Keyword(s):  
Spin Glass ◽  
Transverse Field

Phase diagram of the quantum Ising spin glass in a transverse field

1991 ◽  
Vol 44 (22) ◽  
pp. 12583-12585 ◽  
Author(s):  
K. D. Usadel ◽  
G. Büttner ◽  
T. K. Kopeć
Keyword(s):  
Phase Diagram ◽  
Spin Glass ◽  
Transverse Field ◽  
Ising Spin Glass ◽  
Ising Spin

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 Ergodic and localized regions in quantum spin glasses on the Bethe lattice

2017 ◽  
Vol 375 (2108) ◽  
pp. 20160424 ◽  
Author(s):  
G. Mossi ◽  
A. Scardicchio
Keyword(s):  
Spin Glass ◽  
Spin Glasses ◽  
Quantum Dynamics ◽  
Bethe Lattice ◽  
Transverse Field ◽  
Quantum Systems ◽  
Quantum Spin ◽  
Many Body ◽  
Spin Glass Phase ◽  
Ising Spin

By considering the quantum dynamics of a transverse-field Ising spin glass on the Bethe lattice, we find the existence of a many-body localized (MBL) region at small transverse field and low temperature. The region is located within the thermodynamic spin glass phase. Accordingly, we conjecture that quantum dynamics inside the glassy region is split into a small MBL region and a large delocalized (but not necessarily ergodic) region. This has implications for the analysis of the performance of quantum adiabatic algorithms. This article is part of the themed issue ‘Breakdown of ergodicity in quantum systems: from solids to synthetic matter’.

Quantum spherical description of an Ising spin glass in a transverse field

1997 ◽  
Vol 55 (9) ◽  
pp. 5623-5626 ◽  
Author(s):  
T. K. Kopec-acute ◽  
R. Pirc
Keyword(s):  
Spin Glass ◽  
Transverse Field ◽  
Ising Spin Glass ◽  
Ising Spin
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