Phase-driven current in the quantum Hall geometry

Abstract

The author discusses the possibility of flow of a transverse current driven by phase slip between the edge currents in a narrow quantum Hall sample. The underlying physics and the consequences appear exactly parallel to those of the Josephson tunnel junctions: For instance he can predict the appearance of Shapiro steps in I-V characteristics on application of a high-frequency AC voltage between the two edges, and the existence of a Riedel-type peak in the frequency dependence of the AC etc. The analysis throws fresh light on the quantum interference phenomena currently being discussed extensively in connection with the quantum Hall effect. © 1988 IOP Publishing Ltd.