Stoner Transition at Finite Temperature in a 2D Isotropic Fermi Liquid
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913952244432896 |
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| author | Mayrhofer, R. David Schoenzeit, Megan Chubukov, Andrey V. |
| author_facet | Mayrhofer, R. David Schoenzeit, Megan Chubukov, Andrey V. |
| contents | We present the results of a mean-field analysis of the temperature evolution of a ferromagnetic Stoner transition in a two-dimensional (2D) system with an isotropic dispersion $\varepsilon_k \propto k^{2α}$, which for $α>1$ models flat dispersions in various multi-layer graphene systems in a displacement field. This study is an extension to a finite $T$ of previous studies at $T=0$, which found both first-order and second-order Stoner transitions, depending on the value of $α$ and special behavior at $α=1$ and $α=2$. We find that the Stoner transition at a finite $T$ displays new features not seen at $T=0$. The most interesting one is the reentrant behavior, where the ordered state emerges as temperature is increased. This behavior develops at $α>1.4$ and the range where it holds increases with $α$. We conjecture that the reentrant behavior is the fundamental feature of the Stoner transition in 2D, not sensitive to the details of the electronic structure. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_16026 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stoner Transition at Finite Temperature in a 2D Isotropic Fermi Liquid Mayrhofer, R. David Schoenzeit, Megan Chubukov, Andrey V. Strongly Correlated Electrons We present the results of a mean-field analysis of the temperature evolution of a ferromagnetic Stoner transition in a two-dimensional (2D) system with an isotropic dispersion $\varepsilon_k \propto k^{2α}$, which for $α>1$ models flat dispersions in various multi-layer graphene systems in a displacement field. This study is an extension to a finite $T$ of previous studies at $T=0$, which found both first-order and second-order Stoner transitions, depending on the value of $α$ and special behavior at $α=1$ and $α=2$. We find that the Stoner transition at a finite $T$ displays new features not seen at $T=0$. The most interesting one is the reentrant behavior, where the ordered state emerges as temperature is increased. This behavior develops at $α>1.4$ and the range where it holds increases with $α$. We conjecture that the reentrant behavior is the fundamental feature of the Stoner transition in 2D, not sensitive to the details of the electronic structure. |
| title | Stoner Transition at Finite Temperature in a 2D Isotropic Fermi Liquid |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2507.16026 |