Multicritical point of spin glasses

Details Multicritical point of spin glasses Multicritical point of spin glasses

2009-11-30

arxiv.org/abs/0911.5561v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 3 figures, Dedicated to Prof. A. Nihat Berker on the occasion of his sixtieth birthday. to appear in Physica A

Scientific paper

We present a theoretical framework to accurately calculate the location of the multicritical point in the phase diagram of spin glasses. The result shows excellent agreement with numerical estimates. The basic idea is a combination of the duality relation, the replica method, and the gauge symmetry. An additional element of the renormalization group, in particular in the context of hierarchical lattices, leads to impressive improvements of the predictions.

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