scholarly journals Phase diagram of the dilute Ising spin glass in general spatial dimension

1994 ◽  
Vol 49 (13) ◽  
pp. 8830-8841 ◽  
Author(s):  
Shye Shapira ◽  
Lior Klein ◽  
Joan Adler ◽  
Amnon Aharony ◽  
A. B. Harris
Keyword(s):  
Phase Diagram ◽  
Spin Glass ◽  
Spatial Dimension ◽  
Ising Spin Glass ◽  
Ising Spin

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

Phase Diagram of a Reentrant Ising Spin Glass Fe0.6Mn0.4TiO3on the Magnetic Field-Temperature Plane

1994 ◽  
Vol 63 (8) ◽  
pp. 3145-3157 ◽  
Author(s):  
Hideki Yoshizawa ◽  
Hiroshi Mori ◽  
Hazuki Kawano ◽  
Hiroko Aruga-Katori ◽  
Setsuo Mituta ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Phase Diagram ◽  
Spin Glass ◽  
Ising Spin Glass ◽  
Ising Spin ◽  
Field Temperature ◽  
The Magnetic Field

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
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