Scattering theory of transport in coherent quantum Hall bilayers

2011/03/07 by D. A. Pesin, A. H. MacDonald
Chemistry · Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Bilayer #Chemistry #Condensed matter physics #Homogeneous #Mesoscopic physics #Phenomenology (philosophy) #Physics #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quasiparticle #Scattering #Scattering theory #Semiconductor Quantum Structures and Devices #Statistical physics #Superconductivity #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.84.075308

published as Phys. Rev. B 84, 075308 (2011) · 13 pages, 3 figures

arxiv created 2011/03/07 · openalex publication_date 2011/08/04 · arxiv updated 2015/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We discuss two phenomenological descriptions of low-current transport in bilayer quantum Hall system with exciton condensates, one based on a Landauer-Buttiker description of Andreev scattering at contacts to coherent bilayers, and one based on a simplified single-parameter p-ology description of the weak to strong interlayer coupling crossover. The Andreev scattering phenomenology is intended to apply when the condensate is well developed and is used to predict current-voltage relationships for a variety of two-contact geometries. We also apply this formalism to circumstances in which the tunnel current exceeds its critical value and the condensate is time-dependent. The p-ology approach is used to establish the universal development of large longitudinal drags, even in homogeneous coherent samples, as the condensate weakens and the Hall drag is reduced.

Citations

• Area dependence of interlayer tunneling in strongly correlated bilayer two-dimensional electron systems atνT=1
• Counterflow Measurements in Strongly Correlated GaAs Hole Bilayers: Evidence for Electron-Hole Pairing
• Observation of Quantized Hall Drag in a Strongly Correlated Bilayer Electron System
• Critical Supercurrents and Self-Organization in Quantum Hall Bilayers
• Coexistence of Composite Bosons and Composite Fermions inν=12+12Quantum Hall Bilayers
• Evidence for a Finite-Temperature Phase Transition in a Bilayer Quantum Hall System
• Giant frictional drag in strongly interacting bilayers near filling factor one
• Dominant parameters for the critical tunneling current in bilayer exciton condensates
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• Sideways tunnelling and fractional Josephson frequency in double-layered quantum Hall systems
• Critical tunneling currents in the regime of bilayer excitons
• Bose–Einstein condensation of excitons in bilayer electron systems
• Sharp and smooth boundaries of quantum Hall liquids
• Electrical resistance of disordered one-dimensional lattices
• Resonantly Enhanced Tunneling in a Double Layer Quantum Hall Ferromagnet