One dimensional Bose-Hubbard model with long range hopping
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908461689733120 |
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| author | Orignac, Edmond |
| author_facet | Orignac, Edmond |
| contents | Interacting one-dimensional bosons with long range hopping decaying as a power law $r^{-α}$ with distance $r$ are considered with the renormalization group and the self-consistent harmonic approximation. For $α\ge 3$, the ground state is always a Tomonaga-Luttinger liquid, whereas for $α<3$, a ground state with long range order breaking the continuous global gauge symmetry becomes possible for sufficiently weak repulsion. At positive temperature, continuous symmetry breaking becomes restricted to $α<2$, and for $2<α<3$, a Tomonaga-Luttinger liquid with the Tomonaga-Luttinger exponent diverging at low temperature is found. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03629 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | One dimensional Bose-Hubbard model with long range hopping Orignac, Edmond Quantum Gases Strongly Correlated Electrons Interacting one-dimensional bosons with long range hopping decaying as a power law $r^{-α}$ with distance $r$ are considered with the renormalization group and the self-consistent harmonic approximation. For $α\ge 3$, the ground state is always a Tomonaga-Luttinger liquid, whereas for $α<3$, a ground state with long range order breaking the continuous global gauge symmetry becomes possible for sufficiently weak repulsion. At positive temperature, continuous symmetry breaking becomes restricted to $α<2$, and for $2<α<3$, a Tomonaga-Luttinger liquid with the Tomonaga-Luttinger exponent diverging at low temperature is found. |
| title | One dimensional Bose-Hubbard model with long range hopping |
| topic | Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2506.03629 |