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The cavity method at zero temperature

Marc Mezard·Giorgio Parisi
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Abstract

In this note we explain the use of the cavity method directly at zero temperature, in the case of the spin glass on a Bethe lattice. The computation is done explicitly in the formalism equivalent to 'one step replica symmetry breaking'; we compute the energy of the global ground state, as well as the complexity of equilibrium states at a given energy. Full results are presented for a Bethe lattice with connectivity equal to three.

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Marc Mezard, Giorgio Parisi. 2002-10-10. The cavity method at zero temperature. https://arxiv.org/abs/cond-mat/0207121

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