Quantum Electron Transport through Non-traditional Networks: Transmission Calculations using a Renormalization Group Method

Author

Chris Varghese

Issuing Body

Mississippi State University

Advisor

Novotny, A. Mark

Committee Member

Clay, R. Torsten

Committee Member

Kim, Seng-Gon

Date of Degree

5-1-2010

Document Type

Graduate Thesis - Open Access

Major

Physics

Degree Name

Master of Science

College

College of Arts and Sciences

Department

Department of Physics and Astronomy

Abstract

A general exact matrix renormalization group method is developed for solving quantum transmission through networks. Using this method transmission of spinless electrons is calculated for a Hanoi network and a (newly introduced) fully connected Bethe lattice. Plots of the transmission and wavefunctions are obtained through application of the derived Renormalization Group recursion relations. The plots reveal band gaps (which has possible application in nano devices) in HN3 networks while no band gaps are observed in HN5 networks. With the fully connected Bethe lattice a drastic reduction in the transmission (in comparison to the normal Bethe lattice) is observed. This reduction can be found to be a purely quantum mechanical effect.

URI

https://hdl.handle.net/11668/14985

Comments

renormalization group||electron transport||Bethe lattice||Hanoi network

Recommended Citation

Varghese, Chris, "Quantum Electron Transport through Non-traditional Networks: Transmission Calculations using a Renormalization Group Method" (2010). Theses and Dissertations. 3705.
https://scholarsjunction.msstate.edu/td/3705