Zero-Temperature Limit of the SUSY-breaking Complexity in Diluted Spin-Glass Models

Details Zero-Temperature Limit of the SUSY-breaking Complexity in Diluted Spin-Glass Models Zero-Temperature Limit of the SUSY-breaking Complexity in Diluted Spin-Glass Models

2004-11-29

arxiv.org/abs/cond-mat/0411732v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 figures

Scientific paper

10.1103/PhysRevB.72.184431

We study the SUSY-breaking complexity of the Bethe Lattice Spin-Glass in the zero temperature limit. We consider both the Gaussian and the bimodal distribution of the coupling constants. For $J_{ij}=\pm 1$ the SUSY breaking theory yields fields distributions that concentrate on integer values at low temperatures, at variance with the unbroken SUSY theory. This concentration takes place both in the quenched as well as in the simpler annealed formulation.

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