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Identifying signatures of the electron-phonon interaction in 2D and 3D Dirac-like materials

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dc.contributor.advisor Nicol, Elisabeth + "J." Pavlovic, Boris 2015-09-01T17:57:16Z 2015-09-01T17:57:16Z 2015-08 2015-08-13 2015-09-01
dc.description.abstract Recently, interest has been directed toward identifying and characterizing materials with 3D Dirac-like energy dispersions. Using a 3D version of the 2D Dirac-Weyl Hamiltonian, which has been used to describe the low energy physics of the 2D Dirac fermions found in graphene, we present our theoretical results for the electron self-energy of the 3D Dirac cone with the inclusion of an electron-phonon interaction (EPI). Employing a Holstein model for the EPI and allowing for varying chemical potential, bandwidth, and electron-phonon mass renormalization, we show how the self-energy modifies the electronic density of states and in turn the optical conductivity. The results for 3D are contrasted with the 2D case, as previously explored for graphene. Our results identify signatures of the EPI which can be used as a tool to understand experimental results probing the optical response and electronic properties of 3D analogues to the 2D Dirac fermions in graphene. en_US
dc.description.sponsorship Natural Sciences and Engineering Research Council of Canada en_US
dc.language.iso en en_US
dc.publisher University of Guelph en_US
dc.subject 3D Dirac en_US
dc.subject Optical Response en_US
dc.subject Optical Conductivity en_US
dc.subject Graphene en_US
dc.subject Phonon en_US
dc.subject Electron Phonon Interaction en_US
dc.subject Self Energy en_US
dc.subject Kubo Formula en_US
dc.subject Density of States Renormalization en_US
dc.subject Dirac Cone en_US
dc.subject Theoretical Condensed Matter Physics en_US
dc.subject Migdal Approximation en_US
dc.title Identifying signatures of the electron-phonon interaction in 2D and 3D Dirac-like materials en_US
dc.type Thesis en_US Physics en_US Master of Science en_US Department of Physics en_US
dc.rights.license All items in the Atrium are protected by copyright with all rights reserved unless otherwise indicated. University of Guelph en_US

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