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Spin-spiral instability of the Nagaoka ferromagnet in the crossover between square and triangular lattices
arXiv
Authors: Darren Pereira, Erich J. Mueller
Year
2025
Paper ID
51762
Status
Preprint
Abstract Read
~2 min
Abstract Words
97
Citations
N/A
Abstract
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.
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- We study the hard-core Fermi-Hubbard model in the crossover between square and triangular lattices near half-filling.
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