Transport in Coherent Quantum Hall Bilayers

ORAL

Abstract

We develop an approach to describe transport in bilayer quantum Hall systems in which coherence is established spontaneously between layers. We use Landauer-Buttiker theory with phenomenological parameters which can be fit to experimental data to describe quasiparticle transport in bilayers with strong coherence. We use the above approach to calculate two-probe conductances for various experimental configurations. We also apply the formalism to describe high-current transport in a bilayer with a time-dependent condensate. To describe the transition from strong to weak coherence, we use a pheonomenological single ``relaxation length'' ansatz for contact-to-contact transmission coefficients. As an application, we consider longitudinal drag, and find a good agreement with experiment in the regime of well- developed Quantum Hall Effect.

*Supported by Welch Foundation grant F1473, and by the ARO MURI on bioassembled nanoparticle arrays

Authors

  • Allan MacDonald

    • The University of Texas at Austin, Austin, TX
  • Dmytro Pesin

    • The University of Texas at Austin, Austin, TX