Transient magnetotransport through a quantum wire
Vidar Gudmundsson, Gunnar Thorgilsson, Chi-Shung Tang, and Valeriu, Moldoveanu
TL;DR
This paper studies how temporary changes in the width of a quantum wire under a magnetic field affect electron transport, using an extended Lippmann-Schwinger formalism for time-dependent scattering.
Contribution
It introduces a method to analyze time-dependent scattering in quantum wires, combining geometrical effects and magnetic field influences with a modified Lippmann-Schwinger approach.
Findings
Transient scattering potentials influence current flow in quantum wires.
Magnetic field and geometry interplay affects electron transport.
Time-dependent potentials cause measurable transient effects.
Abstract
We consider an ideal parabolic quantum wire in a perpendicular magnetic field. A simple Gaussian shaped scattering potential well or hill is flashed softly on and off with its maximum at , mimicking a temporary broadening or narrowing of the wire. By an extension of the Lippmann-Schwinger formalism to time-dependent scattering potentials we investigate the effects on the continuous current that is driven through the quantum wire with a vanishingly small forward bias. The Lippmann-Schwinger approach to the scattering process enables us to investigate the interplay between geometrical effects and effects caused by the magnetic field.
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