Date on Master's Thesis/Doctoral Dissertation


Document Type

Doctoral Dissertation

Degree Name

Ph. D.


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


Electronic structure; Boron; Nanostructures


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.