Abstract
We consider a mechanism in a spin-glass system with two interacting replicas in which the two replicas interact via a hypothetical replica coupling field that is set to be zero after thermodynamic quantities are evaluated. A symmetry-breaking role of the replica coupling field is manifested by appearance of a negative overlap. Calculation on a Bethe lattice shows that a negative overlap is possible even for a nonzero magnetic field. The result, however, leads to negative entropy at zero temperature on the Bethe lattice with infinite coordination number, presumably due to the assumption of uncorrelated boundary condition. However, the study in this paper opens an interesting question about existence of a negative overlap for a nonzero magnetic field.
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