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- W2894578368 abstract "In the Sherrington–Kirkpatrick (SK) and related mixed p-spin models, there is interest in understanding replica symmetry breaking at low temperatures. For this reason, the so-called AT line proposed by de Almeida and Thouless as a sufficient (and conjecturally necessary) condition for symmetry breaking, has been a frequent object of study in spin glass theory. In this paper, we consider the analogous condition for the multi-species SK model, which concerns the eigenvectors of a Hessian matrix. The analysis is tractable in the two-species case with positive definite variance structure, for which we derive an explicit AT temperature threshold. To our knowledge, this is the first non-asymptotic symmetry breaking condition produced for a multi-species spin glass. As possible evidence that the condition is sharp, we draw further parallel with the classical SK model and show coincidence with a separate temperature inequality guaranteeing uniqueness of the replica symmetric critical point." @default.
- W2894578368 created "2018-10-12" @default.
- W2894578368 creator A5012867291 @default.
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- W2894578368 date "2019-01-01" @default.
- W2894578368 modified "2023-10-17" @default.
- W2894578368 title "Replica Symmetry Breaking in Multi-species Sherrington–Kirkpatrick Model" @default.
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- W2894578368 doi "https://doi.org/10.1007/s10955-018-2197-4" @default.
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