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  • Letter
  • Open Access

Critical behavior of the three-state random-field Potts model in three dimensions

Manoj Kumar1, Varsha Banerjee2, Sanjay Puri3, and Martin Weigel1,*

  • 1Institut für Physik, Technische Universität Chemnitz, 09107 Chemnitz, Germany
  • 2Department of Physics, Indian Institute of Technology, Hauz Khas, New Delhi 110016, India
  • 3School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India

  • *martin.weigel@gmail.com
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Phys. Rev. Research 4, L042041 – Published 30 November, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L042041

Abstract

Enormous advances have been made in the past 20 years in our understanding of the random-field Ising model (RFIM), and there is now consensus on many aspects of its behavior at least in thermal equilibrium. In contrast, little is known about its generalization to the random-field Potts model (RFPM) which has wide-ranging applications. Here, we start filling this gap with an investigation of the three-state RFPM in three dimensions. Building on the success of ground-state calculations for the Ising system, we use a recently developed approximate scheme based on graph-cut methods to study the properties of the zero-temperature random fixed point of the system that determines the zero and nonzero temperature transition behavior. We find compelling evidence for a continuous phase transition. Implementing an extensive finite-size scaling analysis, we determine the critical exponents and compare them to those of the RFIM.

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Phys. Rev. Research 4, L042041– Published 30 November, 2022
  • Received 2 June 2022
  • Accepted 12 October 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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