Infinite temperature spin dynamics in the asymmetric Hatsugai-Kohmoto model
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918162182701056 |
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| author | Bácsi, Ádám Sticlet, Doru Moca, Catalin Pascu Dóra, Balázs |
| author_facet | Bácsi, Ádám Sticlet, Doru Moca, Catalin Pascu Dóra, Balázs |
| contents | We focus on the infinite temperature dynamical spin structure factor of the asymmetric Hatsugai-Kohmoto model, the relative of the asymmetric Hubbard model. It is characterized by distinct single particle energies for the two spin species, which interact with each other through a contact interaction in momentum space. We evaluate its spin structure factor exactly and follow the evolution of its excitation spectrum for all fillings and interactions, identify signatures of the Mott transition and fingerprints of the asymmetric hoppings. The longitudinal spin structure factor exhibits sound like and interaction induced gapped excitations, whose number gets doubled in the presence of hopping asymmetry. The transverse response displays the competition of interaction and asymmetry induced gaps and results in a quadratic excitation branch at their transition. The complete asymmetric case features momentum-independent dynamical structure factor, characteristic to transitions involving a flat band. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_10894 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Infinite temperature spin dynamics in the asymmetric Hatsugai-Kohmoto model Bácsi, Ádám Sticlet, Doru Moca, Catalin Pascu Dóra, Balázs Strongly Correlated Electrons Statistical Mechanics We focus on the infinite temperature dynamical spin structure factor of the asymmetric Hatsugai-Kohmoto model, the relative of the asymmetric Hubbard model. It is characterized by distinct single particle energies for the two spin species, which interact with each other through a contact interaction in momentum space. We evaluate its spin structure factor exactly and follow the evolution of its excitation spectrum for all fillings and interactions, identify signatures of the Mott transition and fingerprints of the asymmetric hoppings. The longitudinal spin structure factor exhibits sound like and interaction induced gapped excitations, whose number gets doubled in the presence of hopping asymmetry. The transverse response displays the competition of interaction and asymmetry induced gaps and results in a quadratic excitation branch at their transition. The complete asymmetric case features momentum-independent dynamical structure factor, characteristic to transitions involving a flat band. |
| title | Infinite temperature spin dynamics in the asymmetric Hatsugai-Kohmoto model |
| topic | Strongly Correlated Electrons Statistical Mechanics |
| url | https://arxiv.org/abs/2504.10894 |