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Temperature chaos as a logical consequence of the reentrant transition in spin glasses

Hidetoshi Nishimori1,2,3, Masayuki Ohzeki2,4,5, and Manaka Okuyama2

  • 1Institute of Integrated Research, Institute of Science Tokyo, Nagatsuta-cho, Midori-ku, Yokohama 226-8501, Japan
  • 2Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan
  • 3RIKEN Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS), Wako, Saitama 351-0198, Japan
  • 4Department of Physics, Institute of Science Tokyo, Tokyo 152-8551, Japan
  • 5Sigma-i Co., Ltd., Tokyo 108-0075, Japan

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Phys. Rev. E 112, 044140 – Published 22 October, 2025

DOI: https://doi.org/10.1103/qp1w-qcbs

Abstract

Temperature chaos is a striking phenomenon in spin glasses, where even slight changes in temperature lead to a complete reconfiguration of the spin state. Another intriguing effect is the reentrant transition, in which lowering the temperature drives the system from a ferromagnetic phase into a less ordered spin-glass or paramagnetic phase. In the present paper, we reveal an unexpected connection between these seemingly unrelated phenomena in the finite-dimensional Edwards-Anderson model of spin glasses by introducing a generalized formulation that incorporates correlations among disorder variables. Assuming the existence of a spin-glass phase at finite temperature, we establish that temperature chaos arises as a logical consequence of reentrance in the Edwards-Anderson model. Our findings uncover a previously hidden mathematical structure relating reentrance and temperature chaos, offering a new perspective on the physics of spin glasses beyond the mean-field theory.

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Phys. Rev. E 112, 044140– Published 22 October, 2025
  • Received 7 July 2025
  • Accepted 22 September 2025
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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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