Self-sustained clusters and ergodicity breaking in spin models

Chi H. Yeung, David Saad

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    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
    Issue number3
    Publication statusPublished - 23 Sept 2013

    Bibliographical note

    ©2013 American Physical Society


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