Electron tunneling in the tight-binding approximation

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dc.contributorMewes, Claudia K. A.
dc.contributorGupta, Arunava
dc.contributor.advisorButler, W. H.
dc.contributor.authorMackey, Frederick D.
dc.contributor.otherUniversity of Alabama Tuscaloosa
dc.date.accessioned2017-03-02T19:54:58Z
dc.date.available2017-03-02T19:54:58Z
dc.date.issued2016
dc.descriptionElectronic Thesis or Dissertationen_US
dc.description.abstractIn 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.en_US
dc.format.extent93 p.
dc.format.mediumelectronic
dc.format.mimetypeapplication/pdf
dc.identifier.otheru0015_0000001_0002480
dc.identifier.otherMackey_alatus_0004M_12707
dc.identifier.urihttps://ir.ua.edu/handle/123456789/2767
dc.languageEnglish
dc.language.isoen_US
dc.publisherUniversity of Alabama Libraries
dc.relation.hasversionborn digital
dc.relation.ispartofThe University of Alabama Electronic Theses and Dissertations
dc.relation.ispartofThe University of Alabama Libraries Digital Collections
dc.rightsAll rights reserved by the author unless otherwise indicated.en_US
dc.subjectCondensed matter physics
dc.subjectMaterials science
dc.subjectInformation technology
dc.titleElectron tunneling in the tight-binding approximationen_US
dc.typethesis
dc.typetext
etdms.degree.departmentUniversity of Alabama. Department of Physics and Astronomy
etdms.degree.disciplinePhysics
etdms.degree.grantorThe University of Alabama
etdms.degree.levelmaster's
etdms.degree.nameM.S.
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