%0 Journal Article
%T Nambu-Goldstone modes and the Josephson supercurrent in the bilayer quantum Hall system
%A Yusuke Hama
%A George Tsitsishvili
%A Zyun F. Ezawa
%J Physics
%D 2013
%I arXiv
%R 10.1093/ptep/ptt025
%X 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.
%U http://arxiv.org/abs/1304.0308v1