Two-fluid theory of composite bosons and fermions and the quantum Hall proximity effect

Abstract

We propose a two-fluid description of fractional quantum Hall systems, in which one component is a condensate of composite bosons and the other a Fermi liquid formed by composite fermions (or simply electrons). We employ the theory to model the interface between a fractional quantum Hall liquid and a (composite) Fermi liquid metal, where we find a penetration of quantum Hall condensate into the metallic region reminiscent of the proximity effect in superconductor-metal interfaces. We also find a novel and physically reasonable set of gapped quasielectron and neutral modes in fractional quantum Hall liquids.

17 pages, 6 figures

References in corpus (8)

• Fractionalized Fermi liquids
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Geometry of Fractional Quantum Hall Fluids
• Theory of Nematic Fractional Quantum Hall State
• Trial Wavefunctions for ν= 1/2 + 1/2 Quantum Hall Bilayers
• $s$-wave paired composite-fermion electron-hole trial state for quantum Hall bilayers with $\nu =1$
• Interaction effects on quantum Hall transitions: dynamical scaling laws and superuniversality
• Mechanism for particle fractionalization and universal edge physics in quantum Hall fluids

Cited by in corpus (1)

• Thermodynamic Response and Neutral Excitations in Integer and Fractional Quantum Anomalous Hall States Emerging from Correlated Flat Bands