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arXiv · 2507.00276

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

Hidetoshi Nishimori·Masayuki Ohzeki·Manaka Okuyama
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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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Hidetoshi Nishimori, Masayuki Ohzeki, Manaka Okuyama. 2025-10-23. Temperature chaos as a logical consequence of the reentrant transition in spin glasses. https://doi.org/10.1103/qp1w-qcbs

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