Equilibrium states of the spin glass on a Bethe lattice

1988 ◽  
Vol 21 (23) ◽  
pp. L1135-L1140 ◽  
Author(s):  
R C Dewar ◽  
P Mottishaw
Keyword(s):  
Spin Glass ◽  
Bethe Lattice ◽  
Equilibrium States

Bethe lattice spin glass: The effects of a ferromagnetic bias and external fields. I. Bifurcation analysis

1990 ◽  
Vol 61 (5-6) ◽  
pp. 987-1067 ◽  
Author(s):  
J. M. Carlson ◽  
J. T. Chayes ◽  
L. Chayes ◽  
J. P. Sethna ◽  
D. J. Thouless
Keyword(s):  
Spin Glass ◽  
Bifurcation Analysis ◽  
Bethe Lattice ◽  
External Fields ◽  
Lattice Spin

scholarly journals The Bethe lattice spin glass revisited

2001 ◽  
Vol 20 (2) ◽  
pp. 217-233 ◽  
Author(s):  
M. Mézard ◽  
G. Parisi
Keyword(s):  
Spin Glass ◽  
Bethe Lattice ◽  
Lattice Spin

scholarly journals Them-component spin glass on a Bethe lattice

2006 ◽  
Vol 74 (14) ◽  
Author(s):  
A. Braun ◽  
T. Aspelmeier
Keyword(s):  
Spin Glass ◽  
Bethe Lattice

Ising spin glass at zero temperature on the Bethe lattice

1988 ◽  
Vol 37 (13) ◽  
pp. 7649-7654 ◽  
Author(s):  
C. Kwon ◽  
D. J. Thouless
Keyword(s):  
Spin Glass ◽  
Bethe Lattice ◽  
Zero Temperature ◽  
Ising Spin Glass ◽  
Ising Spin

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’.

Spin glass with two replicas on a Bethe lattice

1991 ◽  
Vol 43 (10) ◽  
pp. 8379-8390 ◽  
Author(s):  
C. Kwon ◽  
D. J. Thouless
Keyword(s):  
Spin Glass ◽  
Bethe Lattice
Sign in / Sign up

Export Citation Format

Share Document