Spin-spiral instability of the Nagaoka ferromagnet in the crossover between square and triangular lattices
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914481031872512 |
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| author | Pereira, Darren Mueller, Erich J. |
| author_facet | Pereira, Darren Mueller, Erich J. |
| contents | We study the hard-core Fermi-Hubbard model in the crossover between square and triangular lattices near half-filling. As was recognized by Nagaoka in the 1960s, on the square lattice the presence of a single hole leads to ferromagnetic spin ordering. On the triangular lattice, geometric frustration instead leads to a spin-singlet ground state, which can be associated with a 120-degree spiral order. On lattices which interpolate between square and triangular, there is a phase transition at which the ferromagnetic order becomes unstable to a spin spiral. We model this transition, finding the exact location of the spin-spiral instability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05226 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spin-spiral instability of the Nagaoka ferromagnet in the crossover between square and triangular lattices Pereira, Darren Mueller, Erich J. Strongly Correlated Electrons Quantum Gases Quantum Physics We study the hard-core Fermi-Hubbard model in the crossover between square and triangular lattices near half-filling. As was recognized by Nagaoka in the 1960s, on the square lattice the presence of a single hole leads to ferromagnetic spin ordering. On the triangular lattice, geometric frustration instead leads to a spin-singlet ground state, which can be associated with a 120-degree spiral order. On lattices which interpolate between square and triangular, there is a phase transition at which the ferromagnetic order becomes unstable to a spin spiral. We model this transition, finding the exact location of the spin-spiral instability. |
| title | Spin-spiral instability of the Nagaoka ferromagnet in the crossover between square and triangular lattices |
| topic | Strongly Correlated Electrons Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2510.05226 |