A Model System for Dimensional Competition in Nanostructures: A Quantum Wire on a Surface

<p>Abstract</p><p>The retarded Green&#8217;s function (<it>E</it>&#8722;<it>H</it> + i&#949;)<sup>&#8722;1</sup>is given for a dimensionally hybrid Hamiltonian which interpolates between one and two dimensions. This is used as a m...

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Bibliographic Details
Main Author: Dick Rainer
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Nanoscale Research Letters
Subjects:
Online Access:http://dx.doi.org/10.1007/s11671-008-9126-4
Description
Summary:<p>Abstract</p><p>The retarded Green&#8217;s function (<it>E</it>&#8722;<it>H</it> + i&#949;)<sup>&#8722;1</sup>is given for a dimensionally hybrid Hamiltonian which interpolates between one and two dimensions. This is used as a model for dimensional competition in propagation effects in the presence of one-dimensional subsystems on a surface. The presence of a quantum wire generates additional exponential terms in the Green&#8217;s function. The result shows how the location of the one-dimensional subsystem affects propagation of particles.</p>
ISSN:1931-7573
1556-276X