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Difference in elastic scattering effects on resonant tunneling in one dimension and three dimensions

Authors
Journal
Solid State Communications
0038-1098
Publisher
Elsevier
Publication Date
Volume
80
Issue
10
Identifiers
DOI: 10.1016/0038-1098(91)90526-2

Abstract

Abstract By use of the scattering matrix method which is equivalent to Feynman's path integrals, it is shown that elastic scattering influences resonant tunneling in quite a different manner in the one-dimensional and three-dimensional cases. In one dimensional resonant tunneling, the scattered waves interfere constructively with each other and, as a result, elastic scattering only shifts the resonance energy. On the contrary, in three dimensions, the scattered waves do not interfere with each other. Then, elastic scattering reduces the peak transmission and broadens the resonance width just as in the case of inelastic scattering.

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