Electron transport through the double quantum dots in Aharonov-Bohm rings

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dc.contributor.advisor Joe, Yong S. en_US
dc.contributor.author Kim, Ji S. en_US
dc.date.accessioned 2011-06-03T19:40:30Z
dc.date.available 2011-06-03T19:40:30Z
dc.date.created 2005 en_US
dc.date.issued 2005
dc.identifier LD2489.Z78 2005 .K56 en_US
dc.identifier.uri http://cardinalscholar.bsu.edu/handle/handle/187918
dc.description.abstract We numerically investigate a total transmission probability through QDs embedded in an AB ring. The QDs are formed by delta function-like double potential barriers and a magnetic flux is penetrated in the center of the ring. In particular, we study the coupled double-QDs in series and non-coupled double-QDs in parallel in an AB ring. In each model, we show the total transmission probability as a function of QD size and electron incident energy, and present the transmission amplitude on the complex-energy plane. Of interest is the change and progression of Fano resonances and corresponding zero-pole pairs on the complex-energy plane with magnetic flux in the center of the ring.To accomplish this, we analytically solve the scattering matrix at each junction and the transfer matrix through the arms of the ring using Schrodinger equation for the delta function barriers. Then, the total transmission probability is obtained as a function of electron energy and magnetic flux by cascading these matrices. Finally, the solutions of the analytical equations and the graphical output of the transmission characteristics in the system will be obtained numerically by using Mathematica programs run on desktop computers.
dc.description.sponsorship Department of Physics and Astronomy
dc.format.extent viii, 101 leaves : ill. (some col.) ; 28 cm. en_US
dc.source Virtual Press en_US
dc.subject.lcsh Electron transport -- Mathematical models. en_US
dc.subject.lcsh Quantum dots -- Mathematical models. en_US
dc.subject.lcsh Quantum theory -- Mathematical models. en_US
dc.title Electron transport through the double quantum dots in Aharonov-Bohm rings en_US
dc.description.degree Thesis (M.S.)
dc.identifier.cardcat-url http://liblink.bsu.edu/catkey/1319544 en_US


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  • Master's Theses [5318]
    Master's theses submitted to the Graduate School by Ball State University master's degree candidates in partial fulfillment of degree requirements.

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