Counting metastable states of Ising spin glasses on hypercubic lattices

Stefan Schnabel; Wolfhard Janke

doi:10.1140/epjb/e2020-100480-4

EPJ

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2019 Impact factor 1.347

Condensed Matter and Complex Systems

Topical issue: Recent Advances in the Theory of Disordered Systems

Open Access

Regular Article

Eur. Phys. J. B (2020) 93: 53
https://doi.org/10.1140/epjb/e2020-100480-4

Regular Article

Counting metastable states of Ising spin glasses on hypercubic lattices^★

Stefan Schnabel^a and Wolfhard Janke

Institut für Theoretische Physik, Universität Leipzig, IPF 231101, 04081 Leipzig, Germany

^a e-mail: Stefan.Schnabel@itp.uni-leipzig.de

Received: 2 October 2019
Received in final form: 17 January 2020
Published online: 18 March 2020

Abstract

We describe how metastable states of Ising spin glasses can be counted by means of Monte Carlo computer simulations. The method is applied to systems defined on hypercubic lattices in one to six dimensions with up to about 10³ spins. It is shown that the number of metastable states obtained for different disorder realizations satisfies a log-normal distribution. We investigate the distribution of energies of metastable states by means of moments and cumulants.

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Contribution to the Topical Issue “Recent Advances in the Theory of Disordered Systems”, edited by Ferenc Iglói and Heiko Rieger.

© The Author(s) 2020. This article is published with open access at Springerlink.com

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.