Title
Changes in nonlinear potential scattering theory in electron gases brought about by reducing dimensionality
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
New York, N.Y. ,
Subject
Physics
Source (journal)
Journal of mathematical physics. - New York, N.Y.
Volume/pages
46(2005) :7 , p. 1-16
ISSN
0022-2488
0022-2488
Article Reference
072104
ISI
000230602900004
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Recent work has shown the essential equivalence of stopping power, force-force correlation function, and phase-shift analysis for nonlinear potential scattering in a three-dimensional electron gas. In the present study, we first demonstrate that the above situation is markedly different when the scattering occurs from a localized potential in a two-dimensional (2D) electron gas. Only to second order in the potential do the three methods referred to above precisely agree. However, all these methods can still be applied in 2D, some fully nonlinear evaluation proving possible. The one-dimensional case is also discussed, albeit more briefly. Scattering from a two-center modeling of the localized potential is also calculated, but now only in the Born approximation, due to the added complication of a noncentral potential. (C) 2005 American Institute of Physics.
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