Magnetotransport in a double quantum wire: Modeling using a scattering formalism built on the Lippmann-Schwinger equation

TL;DR

This paper models electronic transport in a double quantum wire under a magnetic field using a scattering formalism based on the Lippmann-Schwinger equation, revealing complex conductance behavior due to inter-wire scattering and magnetic effects.

Contribution

It introduces a scattering formalism on the Lippmann-Schwinger equation to analyze magnetotransport in double quantum wires, accounting for inter- and intra-wire scattering processes.

Findings

Conductance exhibits richer structure due to magnetic field-induced parity breaking.

Evanescent modes significantly influence the conductance patterns.

Multiple regimes of hole- and electron-like propagating modes are identified.

Abstract

We model electronic transport through a double quantum wire in an external homogeneous perpendicular magnetic field using a scattering formalism built on the Lippmann-Schwinger equation. In the scattering region a window is opened between the parallel wires allowing for inter- and intra-wire scattering processes. Due to the parity breaking of the magnetic field the ensuing subband energy spectrum of the double wire system with its regimes of hole- and electron-like propagating modes leads to a more structure rich conductance as a function of the energy of the incoming waves than is seen in a single parabolically confined quantum wire. The more complex structure of the evanescent modes of the system also leaves its marks on the conductance.