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University of Alabama

1. Mackey, Frederick D. Electron tunneling in the tight-binding approximation.

Degree: 2016, University of Alabama

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. (Published By University of Alabama Libraries) Advisors/Committee Members: Butler, William H., Mewes, Claudia, Gupta, Arunava, University of Alabama. Dept. of Physics and Astronomy.

Subjects/Keywords: Electronic Thesis or Dissertation;  – thesis; Condensed matter physics; Materials Science; Information technology; conduction band; landauer conductanc formula; quantum tunneling; simple barrier model; tight-binding; valence band

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Mackey, F. D. (2016). Electron tunneling in the tight-binding approximation. (Thesis). University of Alabama. Retrieved from http://purl.lib.ua.edu/163874

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Mackey, Frederick D. “Electron tunneling in the tight-binding approximation.” 2016. Thesis, University of Alabama. Accessed September 21, 2020. http://purl.lib.ua.edu/163874.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Mackey, Frederick D. “Electron tunneling in the tight-binding approximation.” 2016. Web. 21 Sep 2020.

Vancouver:

Mackey FD. Electron tunneling in the tight-binding approximation. [Internet] [Thesis]. University of Alabama; 2016. [cited 2020 Sep 21]. Available from: http://purl.lib.ua.edu/163874.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Mackey FD. Electron tunneling in the tight-binding approximation. [Thesis]. University of Alabama; 2016. Available from: http://purl.lib.ua.edu/163874

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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