Temperature chaos as a logical consequence of the reentrant transition in spin glasses
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918166209232896 |
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| author | Nishimori, Hidetoshi Ohzeki, Masayuki Okuyama, Manaka |
| author_facet | Nishimori, Hidetoshi Ohzeki, Masayuki Okuyama, Manaka |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00276 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Temperature chaos as a logical consequence of the reentrant transition in spin glasses Nishimori, Hidetoshi Ohzeki, Masayuki Okuyama, Manaka Disordered Systems and Neural Networks 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. |
| title | Temperature chaos as a logical consequence of the reentrant transition in spin glasses |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2507.00276 |