Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916847017787392 |
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| author | Bonkhoff, Martin Jägering, Kevin Hu, Shijie Pelster, Axel Eggert, Sebastian Schneider, Imke |
| author_facet | Bonkhoff, Martin Jägering, Kevin Hu, Shijie Pelster, Axel Eggert, Sebastian Schneider, Imke |
| contents | We study one-dimensional (1D) lattice anyons with extended Hubbard interactions at unit filling using bosonization and numerical simulations. The behavior can be continuously tuned from Bosonic to Fermionic behavior by adjusting the topological exchange angle $θ$, which leads to a competition of different instabilities. We present the bosonization theory in presence of dynamic gauge fields, which predicts a phase diagrams of four different gapped phases with distinct dominant correlations. Advanced numerical simulations determine and analyze the exact phase transitions between Mott insulator, charge density wave, dimerized state, and Haldane insulator, all of which meet at a multi-critical line in the parameter space of anyonic angle $θ$, onsite interaction $U$, and nearest neighbor repulsion $V$. Superfluid and pair-superfluid phases are stable in a region of small $V$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_00089 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics Bonkhoff, Martin Jägering, Kevin Hu, Shijie Pelster, Axel Eggert, Sebastian Schneider, Imke Strongly Correlated Electrons Quantum Gases We study one-dimensional (1D) lattice anyons with extended Hubbard interactions at unit filling using bosonization and numerical simulations. The behavior can be continuously tuned from Bosonic to Fermionic behavior by adjusting the topological exchange angle $θ$, which leads to a competition of different instabilities. We present the bosonization theory in presence of dynamic gauge fields, which predicts a phase diagrams of four different gapped phases with distinct dominant correlations. Advanced numerical simulations determine and analyze the exact phase transitions between Mott insulator, charge density wave, dimerized state, and Haldane insulator, all of which meet at a multi-critical line in the parameter space of anyonic angle $θ$, onsite interaction $U$, and nearest neighbor repulsion $V$. Superfluid and pair-superfluid phases are stable in a region of small $V$. |
| title | Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics |
| topic | Strongly Correlated Electrons Quantum Gases |
| url | https://arxiv.org/abs/2410.00089 |