Zero temperature phase diagram of finite connectivity spin glasses

Details Zero temperature phase diagram of finite connectivity spin glasses Zero temperature phase diagram of finite connectivity spin glasses

2004-09-17

arxiv.org/abs/cond-mat/0409449v3

Progress of Theoretical Physics Supplement No.157 (2005) pp. 77-81

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures, proceeding of "Statistical Physics of Disordered Systems and Its Applications", Hayama (Japan), July 2004

Scientific paper

10.1143/PTPS.157.77

The zero temperature phase diagram of spin glasses on finite connectivity graphs is investigated, with or without magnetic field and/or ferromagnetic bias, for mean field (using the cavity method) and Edwards-Anderson (using numerical ground states computations) models. In the mean field case we show that the phase diagram is complex and compute the equivalent of the zero temperature de Almeida-Thouless line. In the 3d model however, we found a trivial phase diagram. This paper present new analytical results as well as a rapid review of numerical works on ground states.

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