Properties of fractional quantum Hall systems and nonequilibrium Green's function method of transport in nanostructures.
Item
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Title
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Properties of fractional quantum Hall systems and nonequilibrium Green's function method of transport in nanostructures.
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Identifier
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AAI9510741
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identifier
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9510741
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Creator
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Zang, Jun.
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Contributor
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Adviser: Joseph L. Birman
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Date
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1994
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Language
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English
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Publisher
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City University of New York.
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Subject
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Physics, Condensed Matter
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Abstract
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This dissertation contains two parts. In part I the properties of the fractional quantum Hall effect (FQHE) systems are presented. I have numerically studied the Laughlin wave function in disk geometry. The hierarchy structure of FQHE is studied and a global phase diagram is proposed. The magnetoexciton in the FQHE system is studied and photoluminescence as well as resonance Raman scattering is calculated. I also calculated the Fermi edge singularities in the double layer FQHE systems.;In part II, the resonant tunneling through nanostructures was studied using the non-equilibrium Green's function approach. The intrinsic bistability due to many-body electron-electron interaction effects in the double barrier structure is studied. I also derived an exact Breit-Wigner formula for the resonant tunneling in the multiple-barrier structures, and showed that it is useful in the study of conductance fluctuations of electron transport through a strongly disordered quantum wire.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.