Counting metastable states of Ising spin glasses on hypercubic lattices★
Institut für Theoretische Physik, Universität Leipzig, IPF 231101,
a e-mail: Stefan.Schnabel@itp.uni-leipzig.de
Received in final form: 17 January 2020
Published online: 18 March 2020
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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