Nambu-Goldstone modes and the Josephson supercurrent in the bilayer quantum Hall system

Abstract

An interlayer phase coherence develops spontaneously in the bilayer quantum Hall system at the filling factor $\nu =1$. On the other hand, the spin and pseudospin degrees of freedom are entangled coherently in the canted antiferromagnetic phase of the bilayer quantum Hall system at the filling factor $\nu =2$. There emerges a complex Nambu-Goldstone mode with a linear dispersion in the zero tunneling-interaction limit for both cases. Then its phase field provokes a Josephson supercurrent in each layer, which is dissipationless as in a superconductor. We study what kind of phase coherence the Nambu-Goldstone mode develops in association with the Josephson supercurrent and its effect on the Hall resistance in the bilayer quantum Hall system at $\nu =1,2$, by employing the Grassmannian formalism.

43 pages, 5 figures. arXiv admin note: text overlap with arXiv:1207.0003, arXiv:1211.0384

References in corpus (7)

• Critical tunneling currents in the regime of bilayer excitons
• Interlayer tunneling in counterflow experiments on the excitonic condensate in quantum Hall bilayers
• Dominant parameters for the critical tunneling current in bilayer exciton condensates
• Magnetotransport Study of the Canted Antiferromagnetic Phase in Bilayer $\nu =2$ Quantum Hall State
• Anomalous Hall Resistance in Bilayer Quantum Hall Systems
• The Study of Goldstone Modes in $\nu$=2 Bilayer Quantum Hall Systems
• Spin Supercurrent in the Canted Antiferromagnetic Phase

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