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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2505.02303 |
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| _version_ | 1866912747211456512 |
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| author | Yin, Weiguo |
| author_facet | Yin, Weiguo |
| contents | OpenAI's reasoning model o3-mini-high was used to carry out an exact analytic study of onedimensional ferrimagnetic site- and bond-decorated q-state Potts models. We demonstrate that the finitetemperature ultranarrow phase crossover (UNPC), driven by a hidden "half-ice, half-fire" state recently discovered in the $q = 2$ case (Ising model), persists for $q > 2$. We identify unique novel features for $q > 2$, including the dome structure in the field-temperature phase diagram and for large $q$ a secondary high-temperature UNPC to the fully disordered paramagnetic state. Moreover, while the crossover temperature $T_0$ in the site-decorated Potts model is independent of the spin interaction $J$ between the backbone spins and thus remains unchanged as the UNPC quickly approaches a genuine transition -- the crossover width is narrowed exponentially -- by enhancing $J$ (referred to as Type-I UNPC), $T_0$ in the bond-decorated Potts model with $q > 2$ depends on $J$ and quickly shifts toward a finite temperature as $J$ increases (referred to as Type-II UNPC). These novel results establish a versatile framework for engineering controlled fast state-flipping switches in low-dimensional systems. Our nine-level AI-contribution rating assigns AI the meritorious status of AI-co-led discovery in this work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02303 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Half-ice, half-fire driven ultranarrow phase crossover in 1D decorated q-state Potts ferrimagnets: An AI-co-led exploration Yin, Weiguo Statistical Mechanics OpenAI's reasoning model o3-mini-high was used to carry out an exact analytic study of onedimensional ferrimagnetic site- and bond-decorated q-state Potts models. We demonstrate that the finitetemperature ultranarrow phase crossover (UNPC), driven by a hidden "half-ice, half-fire" state recently discovered in the $q = 2$ case (Ising model), persists for $q > 2$. We identify unique novel features for $q > 2$, including the dome structure in the field-temperature phase diagram and for large $q$ a secondary high-temperature UNPC to the fully disordered paramagnetic state. Moreover, while the crossover temperature $T_0$ in the site-decorated Potts model is independent of the spin interaction $J$ between the backbone spins and thus remains unchanged as the UNPC quickly approaches a genuine transition -- the crossover width is narrowed exponentially -- by enhancing $J$ (referred to as Type-I UNPC), $T_0$ in the bond-decorated Potts model with $q > 2$ depends on $J$ and quickly shifts toward a finite temperature as $J$ increases (referred to as Type-II UNPC). These novel results establish a versatile framework for engineering controlled fast state-flipping switches in low-dimensional systems. Our nine-level AI-contribution rating assigns AI the meritorious status of AI-co-led discovery in this work. |
| title | Half-ice, half-fire driven ultranarrow phase crossover in 1D decorated q-state Potts ferrimagnets: An AI-co-led exploration |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2505.02303 |