Abstract
We report on the ensemble inequivalence in a many-body spin-glass model with integerspin. The spin-glass phase transition is of first order for certain values of the crystal-fieldstrength and is dependent on whether it was derived in the microcanonical orthe canonical ensemble. In the limit of infinitely-many-body interactions, themodel is the integer-spin equivalent of the random-energy model, and is solvedexactly. We also derive the integer-spin equivalent of the de Almeida–Thoulessline.
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