Hall effect between parallel quantum wires

TL;DR

This paper theoretically investigates the emergence of a Hall effect in parallel quantum wires at low electron density, linking it to the spin-incoherent regime and providing a method to distinguish it from disorder effects.

Contribution

It introduces a theoretical framework connecting the Hall effect to spin-incoherence in quantum wires, offering a new way to identify spin-incoherent states experimentally.

Findings

Hall effect develops as one wire enters the spin-incoherent regime

Magnetic field affects tunneling exponents in a characteristic way

Spin-incoherence can be distinguished from disorder effects

Abstract

We study theoretically the parallel quantum wires of the experiment by Auslaender et al. [Science 308, 88 (2005)] at low electron density. It is shown that a Hall effect as observed in two- or three-dimensional electron systems develops as one of the two wires enters the spin-incoherent regime of small spin bandwidth. This together with magnetic field dependent tunneling exponents clearly identifies spin-incoherence in such experiments and it serves to distinguish it from disorder effects.