Replica analysis of the generalized p-spin interaction glass model

Abstract

We investigate stability of replica symmetry breaking solutions in generalized $p$-spin models. It is shown that the kind of the transition to the one-step replica symmetry breaking state depends not only on the presence or absence of the reflection symmetry of the generalized "spin"-operators $\hat{U}$ but on the number of interacting operators and their individual characteristics.

14 pages, 1 figure

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Cited by in corpus (4)

• 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