The large $|U|$ expansion for a half-filled asymmetric Hubbard model on a triangular ladder in the presence of spin-dependent magnetic flux
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911499412307968 |
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| author | Garuchava, Shota Beradze, Bachana Sharia, Tatia Japaridze, George I. |
| author_facet | Garuchava, Shota Beradze, Bachana Sharia, Tatia Japaridze, George I. |
| contents | We consider a half-filled system of spin-1/2 fermions on a triangular ladder with spin-dependent hopping in the presence of spin-dependent flux. Using the Schrieffer-Wolff transformation, we derive an effective spin Hamiltonian describing the infrared properties of the system in the limit of strong on-site repulsion. The expansion is performed up to the third order in the hopping amplitude over on-site interaction energy. It is shown that the low-energy spin excitations are described by an anisotropic $XXZ$ Heisenberg model with Dzyaloshinskii-Moriya interaction and an unconventional three-spin (correlated exchange) term in the presence of an extended magnetic field. The latter couples not only to $z$-projection of the total spin on a triangular plaquette but also to the product of $z$-components of three spins located on vertices of the triangle. In the case of strong attractive interaction, the corresponding effective model is derived from the repulsive one using the one-spin-component particle-hole transformation. The effective Hamiltonian is given by the same $XXZ$ Heisenberg model, as in the repulsive case, but in terms of pseudospin (charge) operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13657 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The large $|U|$ expansion for a half-filled asymmetric Hubbard model on a triangular ladder in the presence of spin-dependent magnetic flux Garuchava, Shota Beradze, Bachana Sharia, Tatia Japaridze, George I. Strongly Correlated Electrons We consider a half-filled system of spin-1/2 fermions on a triangular ladder with spin-dependent hopping in the presence of spin-dependent flux. Using the Schrieffer-Wolff transformation, we derive an effective spin Hamiltonian describing the infrared properties of the system in the limit of strong on-site repulsion. The expansion is performed up to the third order in the hopping amplitude over on-site interaction energy. It is shown that the low-energy spin excitations are described by an anisotropic $XXZ$ Heisenberg model with Dzyaloshinskii-Moriya interaction and an unconventional three-spin (correlated exchange) term in the presence of an extended magnetic field. The latter couples not only to $z$-projection of the total spin on a triangular plaquette but also to the product of $z$-components of three spins located on vertices of the triangle. In the case of strong attractive interaction, the corresponding effective model is derived from the repulsive one using the one-spin-component particle-hole transformation. The effective Hamiltonian is given by the same $XXZ$ Heisenberg model, as in the repulsive case, but in terms of pseudospin (charge) operators. |
| title | The large $|U|$ expansion for a half-filled asymmetric Hubbard model on a triangular ladder in the presence of spin-dependent magnetic flux |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2412.13657 |