Critical currents and self organization in quantum Hall bilayers

Abstract

We present a theory of the critical interlayer tunneling current in a disordered quantum Hall bilayer at total filling factor one, allowing for the effect of static vortices. In agreement with recent experiments [Phys. Rev. B 80, 165120 (2009); ibid. 78, 075302 (2008)], we find that this critical current is proportional to the area of the sample and is comparable in magnitude to observed values. This reflects the formation of a Bean critical state as a result of current injection at the boundary. We predict a crossover to a critical current proportional to the square-root of area as either sample size or electron density decreases. We also predict a peak in the critical current as the electron density varies at fixed layer separation.

4 pages; 2 figures

References in corpus (19)

• Bose-Einstein Condensation of Excitons in Bilayer Electron Systems
• Evidence for a Goldstone Mode in a Double Layer Quantum Hall System
• Counterflow measurements in strongly correlated GaAs hole bilayers: evidence for electron-hole pairing
• Vanishing Hall Resistance at High Magnetic Field in a Double Layer Two-Dimensional Electron System
• Observation of a Linearly Dispersing Collective Mode in a Quantum Hall Ferromagnet
• Theory of interlayer tunneling in bi-layer quantum Hall ferromagnets
• Josephson Effect Without Superconductivity: Realization in Quantum Hall Bilayers
• Interlayer tunneling in double-layer quantum Hall pseudo-ferromagnets
• Critical tunneling currents in the regime of bilayer excitons
• Interlayer tunneling in counterflow experiments on the excitonic condensate in quantum Hall bilayers
• Microscopic Functional Integral Theory of Quantum Fluctuations in Double-Layer Quantum Hall Ferromagnets
• Coherence Network in the Quantum Hall Bilayer
• Dominant parameters for the critical tunneling current in bilayer exciton condensates
• Critical Currents of Ideal Quantum Hall Superfluids
• Critical Tunneling Currents in Quantum Hall Superfluids: Pseudospin-Transfer Torque Theory
• Area dependence of interlayer tunneling in strongly correlated bilayer 2D electron systems at ${\nu }_T=1$
• Vortex states of a disordered quantum Hall bilayer
• Josephson vortex motion as a source for dissipation of superflow of e-h pairs in bilayers
• Quantum and Classical Dissipative Effects on Tunnelling in Quantum Hall Bilayers

Cited by in corpus (9)

• Interplay of exciton condensation and quantum spin Hall effect in InAs/GaSb bilayers
• Coupling of Josephson Currents in Quantum Hall Bilayers
• Quantitative description of Josephson-like tunneling in ${\nu }_T=1$ quantum Hall bilayers
• Tunneling at ${\nu }_T=1$ in Quantum Hall Bilayers
• Transport in Coherent Quantum Hall Bilayers
• Breakdown of counterflow superfluidity in a disordered quantum Hall bilayer
• Influence of topological excitations on Shapiro steps and microwave dynamical conductance in bilayer exciton condensates
• Interplay between the coherent and incoherent transport in quantum Hall bilayers
• Diamagnetism and flux creep in bilayer exciton superfluids