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

@article{Nishimori2021AnalyticityOT,
title={Analyticity of the energy in an Ising spin glass with correlated disorder},
author={Hidetoshi Nishimori},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2021},
volume={55}
}
• H. Nishimori
• Published 4 October 2021
• Physics
• Journal of Physics A: Mathematical and Theoretical
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 Z 2 gauge Higgs…

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