Electron transport through two irreducibly-coupled Aharonov-Bohm rings with applications to nanostructure quantum computing circuits

Author

Casey Andrew Cain

Abstract

"A thorough investigation was conducted into the six fundamental classes of two coupled Aharonov-Bohm rings that share a finite center common path, when the phase of the electron wave function was modulated by two distinct magnetic fluxes. The coupling is similar to two coupled atoms. The behavior of charge accumulation along the center common path or equivalently the bonding and anti-bonding of the two rings can be achieved as the two applied fluxes are varied. Thus when three external terminals are connected to such coupled rings, the behavior of the electron transport is divided into several classes depending on the number of atoms in each ring and the locations of the terminals. The results are presented in this thesis. The application to electron wave computing circuits is discussed. In particular, a half-adder construction is demonstrated by employing the symmetric and anti-symmetric properties of the transmission of a given terminal when the sign of the flux is changed. The analogy of two coupled rings with respect to two spins allows one to make a further connection with traditional Spintronicsbased computing schemes"--Abstract, page iii.

Advisor(s)

Wu, Cheng Hsiao

Committee Member(s)

Fan, Jun, 1971-
Story, J. Greg

Department(s)

Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering

Sponsor(s)

Missouri University of Science and Technology. Department of Electrical and Computer Engineering

Publisher

Missouri University of Science and Technology

Publication Date

2011

Pagination

ix, 93 pages

Note about bibliography

Includes bibliographical references (page 92).

Rights

© 2011 Casey Andrew Cain, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Electron transport
Nanostructured materials -- Electric properties
Nanostructures -- Electric properties
Quantum computers -- Design

Thesis Number

T 9806

Print OCLC #

861224711

Electronic OCLC #

908576636

Link to Catalog Record

Electronic access to the full-text of this document is restricted to Missouri S&T users. Otherwise, request this publication directly from Missouri S&T Library or contact your local library.

Recommended Citation

Cain, Casey Andrew, "Electron transport through two irreducibly-coupled Aharonov-Bohm rings with applications to nanostructure quantum computing circuits" (2011). Masters Theses. 4472.
https://scholarsmine.mst.edu/masters_theses/4472