Main content

Optical Conductivity of a Three-dimensional Semi-Dirac Model

Show full item record

Title: Optical Conductivity of a Three-dimensional Semi-Dirac Model
Author: Marques, Alexandre
Department: Department of Physics
Program: Physics
Advisor: Nicol, Elisabeth
Abstract: With the discovery of graphene in 2004, experiments have quickly confirmed that many of its low energy properties are well-described by a Dirac Hamiltonian for massless fermions. This has created intense interest in other Dirac-like materials and model Hamiltonians. In this thesis, we compute the electronic density of states and optical conductivity for a semi-Dirac model in three dimensions. This model is Dirac-like in two of the dimensions and free-electron-like in the third, generalizing the two-dimensional semi-Dirac Hamiltonian to three dimensions. We find different power-law behaviour in the frequency-dependent conductivity in different directions, which would provide a signature of the Hamiltonian if seen in experiments. We also provide an analytic form for the conductivity in a more general case and contrast our results with other models in the literature, for example, graphene, three-dimensional Weyl, and the two-dimensional semi-Dirac.
Date: 2022-08
Rights: Attribution-NoDerivatives 4.0 International

Files in this item

Files Size Format View
Marques_Alexandre_202208_MSc.pdf 1.079Mb PDF View/Open

This item appears in the following Collection(s)

Show full item record

Attribution-NoDerivatives 4.0 International Except where otherwise noted, this item's license is described as Attribution-NoDerivatives 4.0 International
The library is committed to ensuring that members of our user community with disabilities have equal access to our services and resources and that their dignity and independence is always respected. If you encounter a barrier and/or need an alternate format, please fill out our Library Print and Multimedia Alternate-Format Request Form. Contact us if you’d like to provide feedback:  (email address)