A puzzle on fluctuations of weights in spin glasses

Details A puzzle on fluctuations of weights in spin glasses A puzzle on fluctuations of weights in spin glasses

1995-04-12

arxiv.org/abs/cond-mat/9504049v3

Physics

Condensed Matter

7 pages RevTex Revised version, to appear in: Journal de Physique (January 96)

Scientific paper

10.1051/jp1:1996132

In certain mean field models for spin glasses there occurs a one step replica symmetry breaking pattern. As an example of general $1/N$-corrections in such systems, the fluctuations in the internal energy are calculated. For this specific quantity the outcome is known from the specific heat. It is shown that the correct result can be derived by assuming that the both the height and the location of the breakpoint fluctuate. This effect enlarges the commonly considered space of allowed fluctuations of the order parameter in loop calculations for short range spin glasses of this type. The phenomenon does not occur in spin glasses with infinite order replica symmetry breaking.

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