Ground state of the J Ising spin glass

D. L. Stein, G. Baskaran, S. Liang, Michael N. Barber

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    Abstract

    We study the properties of ground-state configurations of Ising models in which a fraction x of the nearest-neighbor couplings is antiferromagnetic and the rest ferromagnetic, with all couplings of equal magnitude. At T=0, these properties can be understood within the context of zero-energy lines in two dimensions and zero-energy surfaces in three. These define "domain walls" which determine the stability properties of the ground states. We find different types of spin-glass behavior for the square and cubic lattices; the latter may retain a type of long-range magnetic rigidity. Ground-state properties are expected to depend strongly on both the lattice geometry and the choice of coupling distribution.

    Original languageEnglish (US)
    Pages (from-to)5567-5571
    Number of pages5
    JournalPhysical Review B
    Volume36
    Issue number10
    DOIs
    StatePublished - Jan 1 1987

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    ASJC Scopus subject areas

    • Condensed Matter Physics

    Cite this

    Stein, D. L., Baskaran, G., Liang, S., & Barber, M. N. (1987). Ground state of the J Ising spin glass. Physical Review B, 36(10), 5567-5571. https://doi.org/10.1103/PhysRevB.36.5567