Article Dans Une Revue Physical Review Letters Année : 2025

Hall Response in Interacting Bosonic and Fermionic Ladders

Résumé

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 stiffness of the system in absence of flux. Our expression unveils a universal interaction-independent behavior in the Galilean invariant case.

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Cite 10.1103/PhysRevLett.134.056501 Autre Citro, R., Giamarchi, T., & Orignac, E. (2025). Hall Response in Interacting Bosonic and Fermionic Ladders. Physical Review Letters, 134(5). https://doi.org/10.1103/physrevlett.134.056501

Dates et versions

hal-04933332 , version 1 (08-04-2025)

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R. Citro, Thierry Giamarchi, Edmond Orignac. Hall Response in Interacting Bosonic and Fermionic Ladders. Physical Review Letters, 2025, 134 (5), pp.056501. ⟨10.1103/PhysRevLett.134.056501⟩. ⟨hal-04933332⟩
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