Date on Master's Thesis/Doctoral Dissertation
12-2013
Document Type
Doctoral Dissertation
Degree Name
Ph. D.
Department
Physics and Astronomy
Committee Chair
Wu, Shi-Yu
Committee Co-Chair (if applicable)
Jayanthi, Chakram S.
Author's Keywords
Electronic structure; Boron; Semi-empirical; Condensed matter; Hamiltonian; Nanostructures
Subject
Electronic structure; Boron; Nanostructures
Abstract
In this work, a 25 parameter semi-empirical Hamiltonian for boron and phosphorus is developed. The Hamiltonian contains both environment-dependent terms and electron-correlation terms with the on-site charge calculated self-consistently. One of the goals of this work is to obtain the parameterized Hamiltonian for boron and phosphorus by fitting the properties of small boron and phosphorus clusters and the bulk phases, as obtained by our method, to ab-initio calculations. The general structure of this Hamiltonian and all phenomenological functions contained within have been successful in predicting the properties of intermediate silicon clusters as well as extended structures of silicon with great precision. Large nanostructures and phosphorus and boron doped silicon structures are explored.
Recommended Citation
Tandy, Paul S., "A semi-empirical Hamiltonian for boron, phosphorus and compounds containing boron, phosphorus and silicon." (2013). Electronic Theses and Dissertations. Paper 1417.
https://doi.org/10.18297/etd/1417
