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

The retarded Green’s function (E−H + iε)(−1)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 quan...

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Detalles Bibliográficos
Autor principal: Dick, Rainer
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer 2008
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3244799/
http://dx.doi.org/10.1007/s11671-008-9126-4
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author Dick, Rainer
author_facet Dick, Rainer
author_sort Dick, Rainer
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description The retarded Green’s function (E−H + iε)(−1)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.
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spelling pubmed-32447992011-12-29 A Model System for Dimensional Competition in Nanostructures: A Quantum Wire on a Surface Dick, Rainer Nanoscale Res Lett Nano Express The retarded Green’s function (E−H + iε)(−1)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. Springer 2008-04-02 /pmc/articles/PMC3244799/ http://dx.doi.org/10.1007/s11671-008-9126-4 Text en Copyright ©2008 to the authors
spellingShingle Nano Express
Dick, Rainer
A Model System for Dimensional Competition in Nanostructures: A Quantum Wire on a Surface
title A Model System for Dimensional Competition in Nanostructures: A Quantum Wire on a Surface
title_full A Model System for Dimensional Competition in Nanostructures: A Quantum Wire on a Surface
title_fullStr A Model System for Dimensional Competition in Nanostructures: A Quantum Wire on a Surface
title_full_unstemmed A Model System for Dimensional Competition in Nanostructures: A Quantum Wire on a Surface
title_short A Model System for Dimensional Competition in Nanostructures: A Quantum Wire on a Surface
title_sort model system for dimensional competition in nanostructures: a quantum wire on a surface
topic Nano Express
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3244799/
http://dx.doi.org/10.1007/s11671-008-9126-4
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