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MINI REVIEW article

Front. Phys.
Sec. Condensed Matter Physics
Volume 12 - 2024 | doi: 10.3389/fphy.2024.1448175
This article is part of the Research Topic Current Research On Spin Glasses View all articles

Spin glasses and percolation

Provisionally accepted
Martin Weigel Martin Weigel *Lambert Münster Lambert Münster
  • Chemnitz University of Technology, Chemnitz, Germany

The final, formatted version of the article will be published soon.

    The description of thermodynamic phase transitions in terms of percolation transitions of suitably defined clusters has a long tradition and boasts a number of important successes, the most prominent ones being in ferromagnetic lattice models. Spin glasses and other frustrated systems are not among them as the clusters of aligned spins usually considered in this context start to percolate in the disordered phase and hence fail to indicate the onset of ordering. In this mini-review we provide an overview of the state of the art in this field, including recent advances, and outline the main open questions in the area.

    Keywords: spin glasses, Percolation, Lattice models, Monte Carlo simulations, phase transitions, Quenched disorder

    Received: 12 Jun 2024; Accepted: 01 Jul 2024.

    Copyright: © 2024 Weigel and Münster. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Martin Weigel, Chemnitz University of Technology, Chemnitz, Germany

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