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

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Author(s): Dick Rainer

Journal: Nanoscale Research Letters
ISSN 1931-7573

Volume: 3;
Issue: 4;
Start page: 140;
Date: 2008;
Original page

Keywords: Fermions in reduced dimensions | Nanowires | Quantum wires

ABSTRACT
AbstractThe retarded Green’s function (E−H + iε)−1is 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.
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Tango Jona
Tangokurs Rapperswil-Jona