Vector breaking of replica symmetry in some low temperature disordered systems

Details Vector breaking of replica symmetry in some low temperature disordered systems Vector breaking of replica symmetry in some low temperature disordered systems

1996-11-04

arxiv.org/abs/cond-mat/9611017v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Latex, 26 pages, 1 postscript figure

Scientific paper

10.1088/0305-4470/30/10/015

We present a new method to study disordered systems in the low temperature limit. The method uses the replicated Hamiltonian. It studies the saddle points of this Hamiltonian and shows how the various saddle point contributions can be resummed in order to obtain the scaling behaviour at low temperatures. In a large class of strongly disordered systems, it is necessary to include saddle points of the Hamiltonian which break the replica symmetry in a vector sector, as opposed to the usual matrix sector breaking of spin glass mean field theory.

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