Transient magnetotransport through a quantum wire

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 $t=0$, 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.

RevTeX (pdf-LaTeX), 11 pages with 15 included jpg figures

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Cited by in corpus (6)

• Geometrical effects and signal delay in time-dependent transport at the nanoscale
• Coulomb interaction and transient charging of excited states in open nanosystems
• Time-dependent transport via the generalized master equation through a finite quantum wire with an embedded subsystem
• Noise Spectra of ac-driven quantum dots
• Turnstile pumping through an open quantum wire
• Periodicity of resonant tunneling current induced by the Stark resonances in semiconductor nanowire