Self-sustained clusters and ergodicity breaking in spin models

Chi H. Yeung, David Saad

Research output: Contribution to journalArticle

Abstract

Self-sustained spin clusters are analytically linked to ergodicity breaking in fully connected Ising and Sherrington-Kirkpatick (SK) models, relating the less understood spin space to the well understood state space. This correspondence is established through the absence of clusters in the paramagnetic phase, the presence of one dominant cluster in the Ising ferromagnet, and the formation of nontrivial clusters in SK spin glass. Yet unobserved phenomena are also revealed such as a first order phase transition in cluster sizes in the SK ferromagnet. The method could be adapted to investigate other spin models.
Original languageEnglish
Article number032132
Number of pages4
JournalPhysical Review E
Volume88
Issue number3
DOIs
Publication statusPublished - 23 Sep 2013

Bibliographical note

©2013 American Physical Society

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