The cavity method at zero temperature

Details The cavity method at zero temperature The cavity method at zero temperature

2002-07-04

arxiv.org/abs/cond-mat/0207121v2

J. Stat. Phys 111 (2003) 1

Physics

Condensed Matter

Disordered Systems and Neural Networks

22 pages, 8 figures; Some minor corrections

Scientific paper

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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