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

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 fac...

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Bibliographic Details
Published in:arXiv.org 2013-04
Main Authors: Hama, Yusuke, Tsitsishvili, George, Ezawa, Zyun F
Format: Article
Language:English
Subjects:
Antiferromagnetism
Electrons
Interlayers
Phase coherence
Quantum Hall effect
Quantum theory
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1304.0308