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Zero temperature phase diagram of finite connectivity spin glasses

Florent Krzakala
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Abstract

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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Florent Krzakala. 2005-05-11. Zero temperature phase diagram of finite connectivity spin glasses. https://doi.org/10.1143/ptps.157.77

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