2002/07/31 by Marc Mezard, Giorgio Parisi · 2 citations
Physics and Astronomy · #cond-mat.dis-nn
published as J. Stat. Phys 111 (2003) 1 · 22 pages, 8 figures; Some minor corrections
arxiv created 2002/10/10 · arxiv updated 2009/11/30
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.