Full versus first stage replica symmetry breaking in spin glasses

Abstract

A short survey is presented on spin--glass--like states characteristics in complex nonmagnetic systems. We discuss the interplay of the interaction structure and symmetry with the classification scenarios of the replica symmetry breaking. It is shown that the kind of the transition to the nonergodic state depends not only on the presence or absence of the reflection symmetry but on the number of interacting operators and their individual characteristics.

5 pages, 2 figures

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Cited by in corpus (6)

• Mean-field solution of the Potts glass near the transition temperature to the ordered phase
• Replica analysis of the generalized p-spin interaction glass model
• Continuous and discontinuous transitions in generalized p-spin glass models
• Generalized Sherrington--Kirkpatrick-glass without reflection symmetry
• Orientational glass: full replica symmetry breaking in generalized spin glass-like models without reflection symmetry
• Full replica symmetry breaking in p-spin-glass-like systems