A Model System for Dimensional Competition in Nanostructures: A Quantum Wire on a Surface
<p>Abstract</p><p>The retarded Green’s function (<it>E</it>−<it>H</it> + iε)<sup>−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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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2008-01-01
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Series: | Nanoscale Research Letters |
Subjects: | |
Online Access: | http://dx.doi.org/10.1007/s11671-008-9126-4 |
Summary: | <p>Abstract</p><p>The retarded Green’s function (<it>E</it>−<it>H</it> + iε)<sup>−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’s function. The result shows how the location of the one-dimensional subsystem affects propagation of particles.</p> |
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ISSN: | 1931-7573 1556-276X |