Abstract

XY-like spin-glass models without time-reversal symmetry are considered, with attention focused on the gauge glass and the Dzyaloshinsky-Moriya XY spin glass. A mean-field approximation of the replicated Ginzburg-Landau free energy of these models is used to show that, due to the lack of time-reversal symmetry, these models have two soft (massless) modes at the transition. A consequence of this result is that all XY-like spin glasses lacking time-reversal symmetry belong to the same universality class, but which is a different one from that found for Ising and isotropic vector spin glasses.

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