Self-sustained clusters and ergodicity breaking in spin models


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.

Publication DOI:
Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: ©2013 American Physical Society
Publication ISSN: 1550-2376
Last Modified: 16 Feb 2024 08:07
Date Deposited: 21 Oct 2013 11:48
Full Text Link: http://link.aps ... sRevE.88.032132
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2013-09-23
Authors: Yeung, Chi H.
Saad, David (ORCID Profile 0000-0001-9821-2623)



Version: Published Version

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