The SK model is Full-step Replica Symmetry Breaking at zero temperature

Antonio Auffinger, Wei Kuo Chen, Qiang Zeng

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that the Parisi measure of the mixed p-spin model at zero temperature has infinitely many points in its support. This establishes Parisi’s prediction that the functional order parameter of the Sherrington-Kirkpatrick model is not a step function at zero temperature. As a consequence, we show that the number of levels of broken replica symmetry in the Parisi formula of the free energy diverges as the temperature goes to zero.

Original languageEnglish (US)
JournalUnknown Journal
StatePublished - Mar 20 2017

ASJC Scopus subject areas

  • General

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