Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1553118 | Superlattices and Microstructures | 2015 | 9 Pages |
Abstract
We calculate the quantum states of regular polygons made of 1D quantum wires treating each polygon vertex as a scatterer. The vertex scattering matrix is analytically obtained from the model of a circular bend of a given angle of a 2D nanowire. In the single mode limit the spectrum is classified in doublets of vanishing circulation, twofold split by the small vertex reflection, and singlets with circulation degeneracy. Simple analytic expressions of the energy eigenvalues are given. It is shown how each polygon is characterized by a specific spectrum.
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Physical Sciences and Engineering
Materials Science
Electronic, Optical and Magnetic Materials
Authors
Cristian Estarellas, Llorenç Serra,