Abstract
We consider the unified hamiltonian with a bilinear coupling, describing the Ising-, vector-, Potts-, octupolar-glass and other glasses [1, 2]. We systematically derive the response to a homogeneous tensor-field as well as the response to an inhomogeneous random tensor-field. We investigate the overlap distribution function and its first and second moment. In all these considerations, we recover the results of the Ising spin glass for sufficiently symmetric multipolar glasses, but we also obtain differnt results for less symmetric glasses.
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Carmesin, H.O. Linear response in multipolar glasses. Z. Physik B - Condensed Matter 73, 381–389 (1988). https://doi.org/10.1007/BF01314277
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DOI: https://doi.org/10.1007/BF01314277