Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
MC 6496
Keenan Lyon, Applied Math, University of Waterloo
Analysis of Plasmons Sustained on the Surface of Graphene
This thesis is broken into two parts, both dealing with the role of two-dimensional graphene in electronic and optical applications. The first section develops a phenomenological relationship for the polarizability of the graphene sheet using a hybrid semi-classical and QFT-derived (Quantum Field Theory) model for different energy regimes. Fits are made and our results are compared to data from two distinct experimental setups. The effects of contamination and rippling of the sheet are considered. The second section shows a phenomenological model for the rough surfaces of graphene and its underlying substrate for a sheet grown on a conducting material. Three different perturbative mathematical models are then explored to justify the shift in the plasmon frequency and the energy loss dispersion due to roughness, using input from experimental roughness data. The models are compared and corrected to include physical effects like crumpling.
Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is co-ordinated within the Office of Indigenous Relations.