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 |
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SpringerOpen
2008-01-01
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| Series: | Nanoscale Research Letters |
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| Online Access: | http://dx.doi.org/10.1007/s11671-008-9126-4 |
| _version_ | 1827830215176355840 |
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| author | Dick Rainer |
| author_facet | Dick Rainer |
| author_sort | Dick Rainer |
| collection | DOAJ |
| description | <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> |
| first_indexed | 2024-03-12T04:25:16Z |
| format | Article |
| id | doaj.art-c0f1339f8af046f0b730cd5c1e030d5a |
| institution | Directory Open Access Journal |
| issn | 1931-7573 1556-276X |
| language | English |
| last_indexed | 2024-03-12T04:25:16Z |
| publishDate | 2008-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Nanoscale Research Letters |
| spelling | doaj.art-c0f1339f8af046f0b730cd5c1e030d5a2023-09-03T10:31:14ZengSpringerOpenNanoscale Research Letters1931-75731556-276X2008-01-0134140144A Model System for Dimensional Competition in Nanostructures: A Quantum Wire on a SurfaceDick Rainer<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>http://dx.doi.org/10.1007/s11671-008-9126-4Fermions in reduced dimensionsNanowiresQuantum wires |
| spellingShingle | Dick Rainer A Model System for Dimensional Competition in Nanostructures: A Quantum Wire on a Surface Nanoscale Research Letters Fermions in reduced dimensions Nanowires Quantum wires |
| 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 | Fermions in reduced dimensions Nanowires Quantum wires |
| url | http://dx.doi.org/10.1007/s11671-008-9126-4 |
| work_keys_str_mv | AT dickrainer amodelsystemfordimensionalcompetitioninnanostructuresaquantumwireonasurface AT dickrainer modelsystemfordimensionalcompetitioninnanostructuresaquantumwireonasurface |