Transport of an electron wave packet through a nanostructure in a magnetic field
Gunnar Žorgilsson
Science Institute, University of Iceland,
Dunhaga 3
IS-107 Reykjavik, Iceland
Abstract
A model is developed for a time dependent transport of a wave packet through a quantum wire with an embedded nanostructure in a perpendicular homogeneous magnetic field. The model is built on the Lippmann-Schwinger formalism of scattering theory in coordinate-momentum space as introduced by Gurvitz [1]. Four different nanostructures are studied by using the model: a constriction, a quantum ring, a donor-like impurity and an acceptor-like impurity. In the results from the simulations we observe phenomena such as skipping orbits, self-interference, and mode mixing, effects which have all been seen in the static case [1-5]. In addition we observe time lags and transition to short or long lived intermediate states, effects that are not directly observable in the static case.
Įgrip
Žróaš er lķkan fyrir tķmahįšan flutning rafeinda bylgjupakka ķ gegnum skammtavķr meš ķgręddum nanóstrśktśr ķ žverstęšu einsleitu segulsviši. Lķkaniš er byggt į Lippmann-Schwinger framsetningu dreififręši ķ raun- og skrišžungarśmi sem Gurvitz kynnti [1]. Skošašir eru fjórir mismunandi nanóstrśktśrar meš lķkaninu: hindrun, skammtahringur, rafgjafi og rafžegi. Ķ nišurstöšum lķkansins sjįum viš fyrirbęri lķkt og skoppbrautir, sjįlfvķxl og blöndun orkuorša, sem öll hafa fundist ķ ęstęša tilvikinu [1-5]. Aš auki sjįum viš tķmaseinkun og įstandsbreytingu ķ skamm- og langlķf milliįstönd, fyrirbęri sem eru ekki sjįanleg ķ ęstęša tilvikinu.
[1] S. A. Gurvitz, Phys. Rev. B 51, 7123 (1995).
[2] J. H. Bardarson, Master's thesis, University of Iceland, RH-09-2004.html, 2004.
[3] J. H. Bardarson et al., Phys. Rev. B 70, 245308 (2004).
[4] V. Gudmundsson et al., Phys. Rev. B 71, 235302 (2005).
[5] G. Cattapan and E. Maglione, Am. J. Phys. 71, 903 (2003).