English

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

Disordered Systems and Neural Networks 2013-10-24 v1 Soft Condensed Matter

Abstract

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 Jij=±1J_{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.

Keywords

Cite

@article{arxiv.cond-mat/0411732,
  title  = {Zero-Temperature Limit of the SUSY-breaking Complexity in Diluted Spin-Glass Models},
  author = {Giorgio Parisi and Tommaso Rizzo},
  journal= {arXiv preprint arXiv:cond-mat/0411732},
  year   = {2013}
}

Comments

4 pages, 2 figures