Spin stiffness of vector spin glasses

F. Beyer, Martin Weigel

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    2 Citations (Scopus)


    We study domain-wall excitations for O(m) vector spin glasses in the limit m→∞, where the energy landscape is simplified considerably compared to XY or Heisenberg models due to the complete disappearance of metastability. Using numerical ground-state calculations and appropriate pairs of complementary boundary conditions, domain-wall defects are inserted into the systems and their excitation energies are measured. This allows us to determine the stiffness exponents for lattices of a range of spatial dimensions d=2,…,7. Compiling these results, we can finally determine the lower critical dimension of the model. The outcome is compared to estimates resulting from field-theoretic calculations.
    Original languageEnglish
    Pages (from-to)1883–1887
    JournalComputer Physics Communications
    Issue number9
    Publication statusPublished - 7 Dec 2010

    Bibliographical note

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    • Vector spin glasses
    • Spherical limit
    • Lower critical dimension


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