English

Transient magnetotransport through a quantum wire

Mesoscale and Nanoscale Physics 2008-07-29 v1

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=0t=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.

Keywords

Cite

@article{arxiv.0710.3289,
  title  = {Transient magnetotransport through a quantum wire},
  author = {Vidar Gudmundsson and Gunnar Thorgilsson and Chi-Shung Tang and Valeriu Moldoveanu},
  journal= {arXiv preprint arXiv:0710.3289},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T09:33:05.202Z