Hall of Mirrors Scattering from an Impurity in a Quantum Wire

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dc.creatorVaishnav, J. Y.
dc.creatorItsara, A.
dc.creatorHeller, E. J.
dc.date2005-11-15
dc.date2006-02-21
dc.date.accessioned2026-07-07T06:52:46Z
dc.date.available2026-07-07T06:52:46Z
dc.descriptionThis paper develops a scattering theory to examine how point impurities affect transport through quantum wires. While some of our new results apply specifically to hard-walled wires, others--for example, an effective optical theorem for two-dimensional waveguides--are more general. We apply the method of images to the hard-walled guide, explicitly showing how scattering from an impurity affects the wire's conductance. We express the effective cross section of a confined scatterer entirely in terms of the empty waveguide's Green's function, suggesting a way in which to use semiclassical methods to understand transport properties of smooth wires. In addition to predicting some new phenomena, our approach provides a simple physical picture for previously observed effects such as conductance dips and confinement-induced resonances.
dc.description19 pages, 8 figures. Accepted for publication in Physical Review B. Minor additions to text, added references
dc.identifierhttps://arxiv.org/abs/quant-ph/0511137
dc.identifierhttp://arxiv.org/abs/quant-ph/0511137
dc.identifierPhys. Rev. B 73, 115331 (2006)
dc.identifierdoi:10.1103/PhysRevB.73.115331
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105408
dc.subjectQuantum Physics
dc.subjectMesoscale and Nanoscale Physics
dc.titleHall of Mirrors Scattering from an Impurity in a Quantum Wire
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