Transient magnetotransport through a quantum wire

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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

Scientific paper

10.1103/PhysRevB.77.035329

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.

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