Optical Conductivity of a Three-dimensional Semi-Dirac Model

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dc.contributor.advisorNicol, Elisabeth
dc.contributor.authorMarques, Alexandre
dc.date.accessioned2022-08-24T14:01:26Z
dc.date.available2022-08-24T14:01:26Z
dc.date.copyright2022-08
dc.date.created2022-07-14
dc.degree.departmentDepartment of Physicsen_US
dc.degree.grantorUniversity of Guelphen
dc.degree.nameMaster of Scienceen_US
dc.degree.programmePhysicsen_US
dc.description.abstractWith 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.en_US
dc.identifier.urihttps://hdl.handle.net/10214/27122
dc.language.isoenen_US
dc.publisherUniversity of Guelphen
dc.rightsAttribution-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nd/4.0/*
dc.subjectThree-dimensional Semi-Dirac Modelen_US
dc.subjectElectronic densityen_US
dc.subjectPower-law behaviouren_US
dc.subjectConductivityen_US
dc.titleOptical Conductivity of a Three-dimensional Semi-Dirac Modelen_US
dc.typeThesisen
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