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Peer-reviewedPublisher termsPhysical Review Research

Hall effect in multileg bosonic ladders

  • Edmond Orignac
  • Roberta Citro
  • Thierry Giamarchi
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Abstract

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.

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Cite

BibTeXRIS
BibTeX
@article{orignac2026hall,
  title = {{Hall effect in multileg bosonic ladders}},
  author = {Edmond Orignac and Roberta Citro and Thierry Giamarchi},
  journal = {Physical Review Research},
  year = {2026},
  month = sep,
  doi = {10.1103/lt1p-1pv2},
  eprint = {2605.28090},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05771029v1},
}
RIS
TY  - JOUR
TI  - Hall effect in multileg bosonic ladders
AU  - Edmond Orignac
AU  - Roberta Citro
AU  - Thierry Giamarchi
PY  - 2026
DA  - 2026/09/01
JO  - Physical Review Research
DO  - 10.1103/lt1p-1pv2
UR  - https://hal.science/hal-05771029v1
AB  - 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.
SN  - 2643-1564
SN  - 2643-1564
ER  -