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Degeneracy Algorithm for Random Magnets

Sorin Bastea
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Abstract

It has been known for a long time that the ground state problem of random magnets, e.g. random field Ising model (RFIM), can be mapped onto the max-flow/min-cut problem of transportation networks. I build on this approach, relying on the concept of residual graph, and design an algorithm that I prove to be exact for finding all the minimum cuts, i.e. the ground state degeneracy of these systems. I demonstrate that this algorithm is also relevant for the study of the ground state properties of the dilute Ising antiferromagnet in a constant field (DAFF) and interfaces in random bond magnets.

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Sorin Bastea. 1998-10-08. Degeneracy Algorithm for Random Magnets. https://doi.org/10.1103/physreve.58.7978

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