A fast vectorized program for the CDC cyber 205 to simulate the ising spin glass in three dimensions

1988 ◽  
Vol 49 (3) ◽  
pp. 465-474 ◽  
Author(s):  
Gyan Bhanot ◽  
Román Salvador ◽  
Dennis Duke ◽  
K.J.M. Moriarty
Keyword(s):  
Spin Glass ◽  
Three Dimensions ◽  
Ising Spin Glass ◽  
Ising Spin

scholarly journals Analyticity of the energy in an Ising spin glass with correlated disorder

2021 ◽  
Author(s):  
Hidetoshi Nishimori
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Spin Glass ◽  
Average Energy ◽  
Three Dimensions ◽  
Closed Form Expression ◽  
Form Expression ◽  
Expectation Value ◽  
Ising Spin Glass ◽  
Ising Spin

Abstract The average energy of the Ising spin glass is known to have no singularity along a special line in the phase diagram although there exists a critical point on the line. This result on the model with uncorrelated disorder is generalized to the case with correlated disorder. For a class of correlations in disorder that suppress frustration, we show that the average energy in a subspace of the phase diagram is expressed as the expectation value of a local gauge variable of the Z2 gauge Higgs model, from which we prove that the average energy has no singularity although the subspace is likely to have a phase transition on it. Though it is difficult to obtain an explicit expression of the energy in contrast to the case of uncorrelated disorder, an exact closed-form expression of a physical quantity related to the energy is derived in three dimensions using a duality relation. Identities and inequalities are proved for the specific heat and correlation functions.

Ising Spin Glass with Random Field

1987 ◽  
Vol 142 (2) ◽  
pp. K161-K164 ◽  
Author(s):  
C. Z. Yang ◽  
Z. M. Wu ◽  
Z. Y. Li
Keyword(s):  
Random Field ◽  
Spin Glass ◽  
Ising Spin Glass ◽  
Ising Spin

scholarly journals Nonstoquastic Hamiltonians and quantum annealing of an Ising spin glass

2017 ◽  
Vol 95 (18) ◽  
Author(s):  
Layla Hormozi ◽  
Ethan W. Brown ◽  
Giuseppe Carleo ◽  
Matthias Troyer
Keyword(s):  
Spin Glass ◽  
Quantum Annealing ◽  
Ising Spin Glass ◽  
Ising Spin

Random anisotropy in ising spin glass

1982 ◽  
Vol 89 (2) ◽  
pp. 96-100 ◽  
Author(s):  
M.Cristina Forti ◽  
R. Kishore ◽  
I.C. Da Cunha Lima
Keyword(s):  
Spin Glass ◽  
Ising Spin Glass ◽  
Ising Spin ◽  
Random Anisotropy
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