Ground state of the J Ising spin glass

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

    Research output: Contribution to journalArticle

    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 - 1987

    Fingerprint

    Spin glass
    spin glass
    Ground state
    ground state
    Ising model
    magnetic rigidity
    Domain walls
    Interfacial energy
    Rigidity
    cubic lattices
    surface energy
    domain wall
    Geometry
    geometry
    configurations
    energy

    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

    Ground state of the J Ising spin glass. / Stein, D. L.; Baskaran, G.; Liang, S.; Barber, Michael N.

    In: Physical Review B, Vol. 36, No. 10, 1987, p. 5567-5571.

    Research output: Contribution to journalArticle

    Stein, DL, Baskaran, G, Liang, S & Barber, MN 1987, 'Ground state of the J Ising spin glass', Physical Review B, vol. 36, no. 10, pp. 5567-5571. https://doi.org/10.1103/PhysRevB.36.5567
    Stein DL, Baskaran G, Liang S, Barber MN. Ground state of the J Ising spin glass. Physical Review B. 1987;36(10):5567-5571. https://doi.org/10.1103/PhysRevB.36.5567
    Stein, D. L. ; Baskaran, G. ; Liang, S. ; Barber, Michael N. / Ground state of the J Ising spin glass. In: Physical Review B. 1987 ; Vol. 36, No. 10. pp. 5567-5571.
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