Transient magnetotransport through a quantum wire

Vidar Gudmundsson, Gunnar Thorgilsson, Chi-Shung Tang, and Valeriu Moldoveanu

Phys. Rev. B 77, 035329 – Published 25 January 2008

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.

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Received 17 October 2007

DOI:https://doi.org/10.1103/PhysRevB.77.035329

Authors & Affiliations

Vidar Gudmundsson^1,2,*, Gunnar Thorgilsson¹, Chi-Shung Tang^3,2,4,†, and Valeriu Moldoveanu⁵

¹Science Institute, University of Iceland, Dunhaga 3, IS-107 Reykjavik, Iceland
²Physics Division, National Center for Theoretical Sciences, P.O. Box 2-131, Hsinchu 30013, Taiwan
³Research Center for Applied Sciences, Academia Sinica, Taipei 11529, Taiwan
⁴Department of Mechanical Engineering, National United University, 1, Lienda, Miaoli 36003, Taiwan
⁵National Institute of Materials Physics, P.O. Box MG-7, Bucharest-Magurele 077125, Romania

^*vidar@raunvis.hi.is
^†cstang@nuu.edu.tw

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Vol. 77, Iss. 3 — 15 January 2008

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