Critical Currents of Ideal Quantum Hall Superfluids

Abstract

Filling factor $\nu =1$ bilayer electron systems in the quantum Hall regime have an excitonic-condensate superfluid ground state when the layer separation $d$ is less than a critical value $d_c$. On a quantum Hall plateau current injected and removed through one of the two layers drives a dissipationless edge current that carries parallel currents, and a dissipationless bulk supercurrent that carries opposing currents in the two layers. In this paper we discuss the theory of finite supercurrent bilayer states, both in the presence and in the absence of symmetry breaking inter-layer hybridization. Solutions to the microscopic mean-field equations exist at all condensate phase winding rates for zero and sufficiently weak hybridization strengths. We find, however, that collective instabilities occur when the supercurrent exceeds a critical value determined primarily by a competition between direct and exchange inter-layer Coulomb interactions. The critical current is estimated using a local stability criterion and varies as $(d_c-d{)}^{1/2}$ when $d$ approaches $d_c$ from below. For large inter-layer hybridization, we find that the critical current is limited by a soliton instability of microscopic origin.

18 RevTeX pgs, 21 eps figures

References in corpus (28)

• Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
• Macroscopically ordered state in exciton system
• Evidence for a Goldstone Mode in a Double Layer Quantum Hall System
• Exciton condensate in semiconductor quantum well structures.
• Watching a superfluid untwist itself: Recurrence of Rabi oscillations in a Bose-Einstein condensate
• Observation of a Linearly Dispersing Collective Mode in a Quantum Hall Ferromagnet
• Observation of Quantized Hall Drag in a Strongly Correlated Bilayer Electron System
• Excitonic ferromagnetism in the hexaborides
• Drag in paired electron-hole layers
• Dissipationless Spin Transport in Thin Film Ferromagnets
• Theory of interlayer tunneling in bi-layer quantum Hall ferromagnets
• Josephson Effect Without Superconductivity: Realization in Quantum Hall Bilayers
• Strong Correlation to Weak Correlation Phase Transition in Bilayer Quantum Hall Systems
• Interlayer tunneling in double-layer quantum Hall pseudo-ferromagnets
• Strong enhancement of drag and dissipation at the weak- to strong- coupling phase transition in a bi-layer system at a total Landau level filling nu=1
• Is there a d.c. Josephson Effect in Bilayer Quantum Hall Systems?
• Dipolar Excitons, Spontaneous Phase Coherence, and Superfluid-Insulator Transition in Bi-layer Quantum Hall Systems at $\nu =1$
• Microscopic Functional Integral Theory of Quantum Fluctuations in Double-Layer Quantum Hall Ferromagnets
• Lattice Pseudospin Model for $\nu =1$ Quantum Hall Bilayers
• Dissipationless transport in low density bilayer systems
• Disorder-induced noncollinear ferromagnetism in models for (III,Mn)V semiconductors
• Collective Modes of Soliton-Lattice States in Double-Quantum-Well Systems
• Theory of Ferromagnetism in Doped Excitonic Condensates
• Sideways Tunnelling and Fractional Josephson Frequency in Double Layered Quantum Hall Systems
• Global phase diagram of bilayer quantum Hall ferromagnets
• Pseudo-spin canting transition in bilayer quantum Hall ferromagnets: a self-charging capacitor
• DC Transformer and DC Josephson(-like) Effects in Quantum Hall Bilayers
• Persistent Currents and Dissipation in Narrow Bilayer Quantum Hall Bars

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• Breakdown of counterflow superfluidity in a disordered quantum Hall bilayer
• Critical currents and giant non-dissipative drag for superfluid electron-hole pairs in quantum Hall multilayers
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• Bilayer Quantum Hall Ferromagnet in a Periodic Potential
• Stationary waves in a superfluid exciton gas in quantum Hall bilayers
• Transport properties of ν=1 quantum Hall bilayers. Phenomenological description
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