Lowest-Landau-level constraint, Goldstone mode, and Josephson effect in a double-layer quantum Hall system

Abstract

Based on the Chern-Simons gauge theory of the planar electrons together with the lowest-Landau-level projection, we analyze the dynamical mechanism of a Josephson effect predicted recently in a double-layer quantum Hall (QH) system. It is shown that a Goldstone mode exists in a certain double-layer QH system and that the mode induces the Josephson effect through a weak interlayer tunneling.