Elsevier

Solid State Communications

Volume 20, Issue 9, December 1976, Pages 899-903
Solid State Communications

Critical properties of a simple soluble spin glass model

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Abstract

An exactly soluble model, in which a random exchange ± J and uniform field B can be transformed into a uniform exchange and a random magnetic field, ± B, is studied. At B = 0, the model exhibits a spin glass ordered phase, for which all critical exponents are derived. In particular, the magnetic susceptibility exhibits a cusp and its divergent second derivative is related to long range correlations of a spin glass order parameter. At B ≠ 0, the thermodynamic singularities disappear for isotropic (Ising) systems at dimensions d < 4(2), and are distinct from those at B = 0 for 6 > d > 4(2). A more general scaling theory is formulated for B → 0.

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    Supported by a grant from the United States—Israel Binational Science Foundation (BSF), Jerusalem, Israel.

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