Hall effect in quantum wires

Abstract

Calculations of the Hall resistance of quasi-one-dimensional electron systems on a GaAs/${\mathrm{Al}}_{\mathrm{x}}$${\mathrm{Ga}}_{1\mathrm{\ensuremath{-}}\mathrm{x}}$As heterointerface are performed. It is shown in a weak-link model of Hall probes that the Hall resistance strongly depends on the way the total current is divided among subbands.