Necessary Conditions on Electric Potential for the Formation of Spectral Touching Points

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dc.contributor.advisorWeyand, Tracy
dc.contributor.authorMartin, Reese
dc.contributor.departmentUniversity Scholars.en_US
dc.contributor.otherBaylor University.en_US
dc.contributor.schoolsUniversity Scholars.en_US
dc.date.accessioned2017-12-01T17:31:54Z
dc.date.available2017-12-01T17:31:54Z
dc.date.copyright2017-05-08
dc.date.issued2017-12-01
dc.description.abstractIn recent years special attention has been given to graphene as building material and as an energy storage medium. The main property that make graphene uniquely suited to both of these concerns is that it possesses mass-less fermions, which enable loss-less electron transfer across a graphene sheet. Dirac conical points, a specialized kind of spectral touching point, are believed to be responsible for the mass-less fermions found in graphene, meaning Dirac points could be responsible for graphenes most highly sought after properties. In this work I was able to show that touching points form in graphene for all values of electrical potential, as long as certain symmetry conditions were maintained on the graph. I was then able to show how touching point formation changes as symmetry conditions were removed.en_US
dc.identifier.urihttp://hdl.handle.net/2104/10167
dc.language.isoen_USen_US
dc.rightsBaylor University projects are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. Contact libraryquestions@baylor.edu for inquiries about permission.en_US
dc.rights.accessrightsWorldwide accessen
dc.subjectMathematicsen_US
dc.subjectSpectral Graph Theoryen_US
dc.titleNecessary Conditions on Electric Potential for the Formation of Spectral Touching Pointsen_US
dc.typeThesisen_US

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