Experimental technique for realizing dual and multiple Hall effects in a single specimen

Max-Planck-Institut für Festkörperforschung - Heisenbergstraße 1, D-70569 Stuttgart, Germany

Received: 3 January 1996
Accepted: 26 February 1996

Abstract

The Hall-effect measurement is extended to multiply connected specimens through a transport study of a double-boundary geometry fabricated on quasi–two-dimensional (2D) GaAs/AlGaAs heterostructures and 3D GaAs epilayers. First, inversion symmetry in the Hall effect is demonstrated through the identification of a complement of the Hall bar, i.e. "anti-Hall bar", which may be used to generate the Hall effect within interior boundaries, when current is injected via interior contacts. Then, through the utilization of a novel dual-current technique, we identify—and provide a demonstration of—the superposition properties of Hall's effect in 2D and 3D systems. Thus, these experiments suggest the possibility of realizing multiple Hall resistances in multiply connected systems, and provide insight into the role of topology in the measurement of the (four-terminal) quantized Hall effect in (2D) cylindrical geometries.