Anderson localization in two-channel wires with correlated disorder: DNA as an application |
Posted on:2008-12-18 | Degree:Ph.D | Type:Dissertation |
University:University of North Texas | Candidate:Bagci, Kemal V. M | Full Text:PDF |
GTID:1448390005959552 | Subject:Condensed matter physics |
Abstract/Summary: | |
This research studied the Anderson localization of electrons in two-channel wires with correlated disorder and in DNA molecules. It involved an analytical calculation part where the formula for the inverse localization length for electron states in a two-channel wire is derived. It also involved a computational part where the localization length is calculated for some DNA molecules.;Electron localization in two-channel wires with correlated disorder was studied using a single-electron tight-binding model. Calculations were within second-order Born-approximation to second-order in disorder parameters. An analytical expression for localization length as a functional of correlations in potentials was found.;Anderson localization in DNA molecules were studied in single-channel wire and two-channel models for electron transport in DNA. In both of the models, some DNA sequences exhibited delocalized electron states in their energy spectrum. Studies with two-channel wire model for DNA yielded important link between electron localization properties and genetic information. |
Keywords/Search Tags: | Two-channel wires with correlated disorder, Localization, DNA molecules, Electron, Some DNA |
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