Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-10-17
Phys. Rev. B 77, 035329 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
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.
Gudmundsson Vidar
Moldoveanu Valeriu
Tang Chi-Shung
Thorgilsson Gunnar
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