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  • Open Access

Hall effect in multileg bosonic ladders

E. Orignac

R. Citro

Thierry Giamarchi*

  • *Contact author: thierry.giamarchi@unige.ch
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Phys. Rev. Research 8, 043142 – Published 9 November, 2026

DOI: https://doi.org/10.1103/lt1p-1pv2

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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Phys. Rev. Research 8, 043142– Published 9 November, 2026
  • Received 19 May 2026
  • Accepted 25 August 2026
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