Interface free energies in p-spin glass models

Abstract

The replica method has been used to calculate the interface free energy associated with the change from periodic to anti-periodic boundary conditions in finite-dimensional p-spin glass models in the phase which at mean-field level has one-step replica symmetry breaking (1RSB). In any finite dimension the interface free energy is exponentially small for a large system. This result implies that in finite dimensions, the 1RSB state does not exist, as it is destroyed by thermal excitation of arbitrarily large droplets. The implications of this for the theory of structural glasses are discussed.

4 pages

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• The Ising M-p-spin mean-field model for the structural glass: continuous vs. discontinuous transition
• Spin glasses and algorithm benchmarks: A one-dimensional view
• Surface Tension in Kac Glass Models
• Possible instability of one-step replica symmetry breaking in p-spin Ising models outside mean-field theory
• Statistical mechanics of glass transition in lattice molecule models
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• Replica Symmetry Broken States of some Glass Models