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Hall of Mirrors Scattering from an Impurity in a Quantum Wire
J. Y. Vaishnav, A. Itsara, E. J. Heller
abstract: This 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0511137
- categories:
- quant-ph cond-mat.mes-hall
- comments:
- 19 pages, 8 figures. Accepted for publication in Physical Review B.
Minor additions to text, added references
- doi:
- 10.1103/PhysRevB.73.115331
- arxiv_id:
- quant-ph/0511137
- journal_ref:
- Phys. Rev. B 73, 115331 (2006)
- created:
- 2005-11-15
- updated:
- 2006-02-21
Full article ▸
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