Critical Tunneling Currents in Quantum Hall Superfluids: Pseudospin-Transfer Torque Theory

Abstract

At total filling factor $\nu =1$ quantum Hall bilayers can have an ordered ground state with spontaneous interlayer phase coherence. The ordered state is signaled experimentally by dramatically enhanced interlayer tunnel conductances at low bias voltages; at larger bias voltages inter-layer currents are similar to those of the disordered state. We associate this change in behavior with the existence of a critical current beyond which static inter-layer phase differences cannot be maintained, and examine the dependence of this critical current on sample geometry, phase stiffness, and the coherent tunneling energy density. Our analysis is based in part on analogies between coherent bilayer behavior and spin-transfer torque physics in metallic ferromagnets. Comparison with recent experiments suggests that disorder can dramatically suppress critical currents.

12 pages, 10 figures

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Cited by in corpus (14)

• Spatially-indirect Exciton Condensate Phases in Double Bilayer Graphene
• 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
• Critical currents and self organization 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
• Nanotransformation and current fluctuations in exciton condensate junctions
• Locking and unlocking of the counterflow transport in nu=1 quantum Hall bilayers by tilting of magnetic field
• Diamagnetism and flux creep in bilayer exciton superfluids
• Possible charge analogues of spin transfer torques in bulk superconductors
• Voltage Induced Dynamical Quantum Phase Transitions in Exciton Condensates
• Role of the compensating current in the weak Josphson coupling regime: An extended study on excitonic Josephson junctions