Hall effect in multi-leg bosonic ladders
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866916053613805568 |
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| author | Orignac, Edmond Citro, Roberta Giamarchi, Thierry |
| author_facet | Orignac, Edmond Citro, Roberta Giamarchi, Thierry |
| contents | We use bosonization to analyze the ground state Hall response of interacting bosonic N-leg ladders threaded by a flux. We derive an explicit expression of the Hall imbalance in a perturbative expansion in the band curvature, retaining fully the interactions. For small magnetic field the Hall resistance is proportional to the derivative of the logarithm of the charge stiffness with respect to density, generalizing the result obtained in the two leg case. We also consider the effect of temperature, and establish that at low temperature, corrections to the Hall resistance are exponentially small in the Meissner phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28090 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hall effect in multi-leg bosonic ladders Orignac, Edmond Citro, Roberta Giamarchi, Thierry Quantum Gases Mesoscale and Nanoscale Physics We use bosonization to analyze the ground state Hall response of interacting bosonic N-leg ladders threaded by a flux. We derive an explicit expression of the Hall imbalance in a perturbative expansion in the band curvature, retaining fully the interactions. For small magnetic field the Hall resistance is proportional to the derivative of the logarithm of the charge stiffness with respect to density, generalizing the result obtained in the two leg case. We also consider the effect of temperature, and establish that at low temperature, corrections to the Hall resistance are exponentially small in the Meissner phase. |
| title | Hall effect in multi-leg bosonic ladders |
| topic | Quantum Gases Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2605.28090 |