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

Rainer Dick

Author Affiliations

Physics and Engineering Physics, University of Saskatchewan, 116 Science Place, Saskatoon, SK, Canada, S7N 5E2

Nanoscale Research Letters 2008, 3:140-144  doi:10.1007/s11671-008-9126-4

Published: 2 April 2008


The retarded Green’s function (EH + 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.

Fermions in reduced dimensions; Nanowires; Quantum wires