2013/04/01 by Yusuke Hama, George Tsitsishvili, Zyun F. Ezawa
Physics and Astronomy · #cond-mat.mes-hall
paper · pdf · doi:10.1093/ptep/ptt025
published as Prog. Theor. Exp. Phys. 2013, 053I01 · 43 pages, 5 figures. arXiv admin note: text overlap with arXiv:1207.0003, arXiv:1211.0384
arxiv created 2013/04/01 · arxiv updated 2013/06/07
An interlayer phase coherence develops spontaneously in the bilayer quantum Hall system at the filling factor ν=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 ν=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 ν=1,2, by employing the Grassmannian formalism.