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The infinite-range two-real-Ising replicas spin glass

Author

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  • Nobre, Fernando D.
  • Costa, Francisco A.da

Abstract

A spin-glass model, with two Ising coupled systems (real replicas), is investigated in the limit of infinite-range interactions, through the replica method. Besides the Ising representation, the model is also considered as a discrete two-component four-state clock spin glass. The phase diagram of the model is obtained, within the replica-symmetry approximation, exhibiting a collinear spin-glass phase, i.e., no transverse four-state clock ordering. The order parameter conjugated to the coupling field presents a discontinuity along the spin-glass phase, when the field is reversed. The validity limits of the replica-symmetry solution are analysed.

Suggested Citation

  • Nobre, Fernando D. & Costa, Francisco A.da, 1998. "The infinite-range two-real-Ising replicas spin glass," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 254(3), pages 333-347.
    • Handle: RePEc:eee:phsmap:v:254:y:1998:i:3:p:333-347
    DOI: 10.1016/S0378-4371(97)00684-5
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