dorsal/arxiv
View SchemaHall of Mirrors Scattering from an Impurity in a Quantum Wire
| Authors | J. Y. Vaishnav, A. Itsara, E. J. Heller |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511137 |
| URL | https://arxiv.org/abs/quant-ph/0511137 |
| DOI | 10.1103/PhysRevB.73.115331 |
| Journal | Phys. Rev. B 73, 115331 (2006) |
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.
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"abstract": "This paper develops a scattering theory to examine how point impurities\naffect transport through quantum wires. While some of our new results apply\nspecifically to hard-walled wires, others--for example, an effective optical\ntheorem for two-dimensional waveguides--are more general. We apply the method\nof images to the hard-walled guide, explicitly showing how scattering from an\nimpurity affects the wire\u0027s conductance. We express the effective cross section\nof a confined scatterer entirely in terms of the empty waveguide\u0027s Green\u0027s\nfunction, suggesting a way in which to use semiclassical methods to understand\ntransport properties of smooth wires. In addition to predicting some new\nphenomena, our approach provides a simple physical picture for previously\nobserved effects such as conductance dips and confinement-induced resonances.",
"arxiv_id": "quant-ph/0511137",
"authors": [
"J. Y. Vaishnav",
"A. Itsara",
"E. J. Heller"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"doi": "10.1103/PhysRevB.73.115331",
"journal_ref": "Phys. Rev. B 73, 115331 (2006)",
"title": "Hall of Mirrors Scattering from an Impurity in a Quantum Wire",
"url": "https://arxiv.org/abs/quant-ph/0511137"
},
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