Electron tunneling in the tight-binding approximation

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dc.contributor Mewes, Claudia K. A.
dc.contributor Gupta, Arunava
dc.contributor.advisor Butler, W. H.
dc.contributor.author Mackey, Frederick D.
dc.date.accessioned 2017-03-02T19:54:58Z
dc.date.available 2017-03-02T19:54:58Z
dc.date.issued 2016
dc.identifier.other u0015_0000001_0002480
dc.identifier.other Mackey_alatus_0004M_12707
dc.identifier.uri https://ir.ua.edu/handle/123456789/2767
dc.description Electronic Thesis or Dissertation
dc.description.abstract In this thesis, we treat tunneling similar to a scattering problem in which an incident wave on a barrier is partially transmitted and partially reflected. The transmission probability will be related to the conductance using a model due to Landauer. Previously tunneling has been treated using a simple barrier model, which assumes the electron dispersion is that of free electrons. In this model it is not possible to investigate tunneling in the gap between a valence band and a conduction band. We shall remedy this limitation by using the tight-binding model to generate a barrier with a gap separating a valence band and a conduction band. To do this, we constructed a model consisting of semi-infinite chains of A atoms on either side of a semi-infinite chain of B-C molecules. The B-C chain has a gap extending between the onsite energy for the B atom and the onsite energy for the C atom. Tunneling through the gap has been calculated and plotted. We present exact closed form solutions for the following tunneling systems: (i) A-B interface, (ii) A-(B-C) interface, (iii) A-B-A tunnel barrier, (iv) A-(B-C) interface with the orbitals on B having s-symmetry and those on C having p-symmetry, (v) A-(B-C)-A tunnel barrier.
dc.format.extent 93 p.
dc.format.medium electronic
dc.format.mimetype application/pdf
dc.language English
dc.language.iso en_US
dc.publisher University of Alabama Libraries
dc.relation.ispartof The University of Alabama Electronic Theses and Dissertations
dc.relation.ispartof The University of Alabama Libraries Digital Collections
dc.relation.hasversion born digital
dc.rights All rights reserved by the author unless otherwise indicated.
dc.subject.other Condensed matter physics
dc.subject.other Materials Science
dc.subject.other Information technology
dc.title Electron tunneling in the tight-binding approximation
dc.type thesis
dc.type text
etdms.degree.department University of Alabama. Dept. of Physics and Astronomy
etdms.degree.discipline Physics
etdms.degree.grantor The University of Alabama
etdms.degree.level master's
etdms.degree.name M.S.

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