Series expansions for a spin-glass model

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, , Citation C Domb 1976 J. Phys. A: Math. Gen. 9 L17 DOI 10.1088/0305-4470/9/4/001

0305-4470/9/4/L17

Abstract

Series expansions are investigated for a spin-glass Ising model with nearest-neighbour interactions J which can be randomly positive or negative. For the high-temperature phase the following conclusions result: (i) the free energy has a singularity at about w = µ-1/2 (w = tanh β J) (where µ is the self-avoiding walk limit), (ii) the magnetic susceptibility corresponds to uncoupled spins, (iii) the second derivative of susceptibility is simply related to the susceptibility of the standard Ising model and has a singularity at w = wc1/2 (where wc refers to the standard model).

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10.1088/0305-4470/9/4/001