Hall response in interacting bosonic and fermionic ladders

Fuente: arXiv
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Auteurs principaux: Citro, R., Giamarchi, T., Orignac, E.
Format: Preprint
Publié: 2024
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author Citro, R.
Giamarchi, T.
Orignac, E.
author_facet Citro, R.
Giamarchi, T.
Orignac, E.
contents We use bosonization, retaining band curvature terms, to analyze the Hall response of interacting bosonic and fermionic two-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. We show that the flux dependence of the Hall imbalance allows to distinguish the two phases (Meissner and Vortex) that are present for a bosonic ladder. For small magnetic field we relate the Hall resistance, both for bosonic and fermionic ladders, to the density dependence of the charge sitffness of the system in absence of flux. Our expression unveil a universal interaction-independent behavior in the Galilean invariant case.
format Preprint
id arxiv_https___arxiv_org_abs_2404_16973
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hall response in interacting bosonic and fermionic ladders
Citro, R.
Giamarchi, T.
Orignac, E.
Mesoscale and Nanoscale Physics
Quantum Gases
We use bosonization, retaining band curvature terms, to analyze the Hall response of interacting bosonic and fermionic two-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. We show that the flux dependence of the Hall imbalance allows to distinguish the two phases (Meissner and Vortex) that are present for a bosonic ladder. For small magnetic field we relate the Hall resistance, both for bosonic and fermionic ladders, to the density dependence of the charge sitffness of the system in absence of flux. Our expression unveil a universal interaction-independent behavior in the Galilean invariant case.
title Hall response in interacting bosonic and fermionic ladders
topic Mesoscale and Nanoscale Physics
Quantum Gases
url https://arxiv.org/abs/2404.16973