Electron Interactions and Transport Between Coupled Quantum Hall Edges
arXiv:cond-mat/0408272 · doi:10.1103/PhysRevLett.94.086804
Abstract
We examine the effects of electron-electron interactions on transport between edge states in a multilayer integer quantum Hall system. The edge states of such a system, coupled by interlayer tunneling, form a two-dimensional, chiral metal at the sample surface. We calculate the temperature-dependent conductivity and the amplitude of conductance fluctuations in this chiral metal, treating Coulomb interactions and disorder exactly in the weak-tunneling limit. We find that the conductivity increases with increasing temperature, as observed in recent experiments, and we show that the correlation length characterising conductance fluctuations varies inversely with temperature.
4 pages, 2 figures, typos corrected, Ref. 17 added, minor changes made for publication
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Cited by in corpus (8)
- Random Network Models and Quantum Phase Transitions in Two Dimensions
- Decoherence and interactions in an electronic Mach-Zehnder interferometer
- Meta-nematic, smectic and crystalline phases of dipolar fermions in an optical lattice
- Gapless layered three-dimensional fractional quantum Hall states
- Transport between edge states in multilayer integer quantum Hall systems: exact treatment of Coulomb interactions and disorder
- Thouless conductances of a three-dimensional quantum Hall system
- Electrostatics of Edge States of Quantum Hall Systems with Constrictions: Metal--Insulator Transition Tuned by External Gates
- Effect of surface disorder on the chiral surface states of a three-dimensional quantum Hall system