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

  title={Analyticity of the energy in an Ising spin glass with correlated disorder},
  author={Hidetoshi Nishimori},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • 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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