One-dimensional spin-glass model with long-range random interactions

G. Kotliar, P. W. Anderson, D. L. Stein

    Research output: Contribution to journalArticle

    Abstract

    We consider an Ising chain with Hamiltonian H=ij(ijSiSj)(a|i-j|) where the ij are independent random variables. We find a phase transition for 121. For 1223 the critical exponents exhibit mean-field classical behavior. Near =1 we find a smoothly varying specific heat. We investigate the critical behavior near the upper and lower critical range by means of an expansion around =1 and 23.

    Original languageEnglish (US)
    Pages (from-to)602-605
    Number of pages4
    JournalPhysical Review B
    Volume27
    Issue number1
    DOIs
    StatePublished - 1983

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    Hamiltonians
    Spin glass
    Random variables
    spin glass
    Specific heat
    Phase transitions
    random variables
    specific heat
    interactions
    exponents
    expansion

    ASJC Scopus subject areas

    • Condensed Matter Physics

    Cite this

    One-dimensional spin-glass model with long-range random interactions. / Kotliar, G.; Anderson, P. W.; Stein, D. L.

    In: Physical Review B, Vol. 27, No. 1, 1983, p. 602-605.

    Research output: Contribution to journalArticle

    Kotliar, G. ; Anderson, P. W. ; Stein, D. L. / One-dimensional spin-glass model with long-range random interactions. In: Physical Review B. 1983 ; Vol. 27, No. 1. pp. 602-605.
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