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Phase diagram of graphene: a mean field analysis

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dc.contributor.advisorJuliá-Díaz, Bruno
dc.contributor.advisorDauphin, Alexandre
dc.contributor.authorMiranda Riaza, Marc
dc.date.accessioned2022-09-06T12:28:21Z
dc.date.available2022-09-06T12:28:21Z
dc.date.issued2022-06
dc.descriptionTreballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022, Tutors: Bruno Juliá-Díaz, Alexandre Dauphinca
dc.description.abstractWe study the electronic structure of graphene and the corresponding phases. We first examine the non-interacting part of the Hamiltonian and show the appearance of Dirac cones. Later we study the full Hamiltonian through Mean-Field theory and show a process of symmetry breaking that leads to the formation of a Charge Density Wave (CDW) phase. We show how Automatic Differentiation, a tool from Machine Learning, can be used as an alternative to the Self-Consistent Field methodca
dc.format.extent5 p.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2445/188731
dc.language.isoengca
dc.rightscc-by-nc-nd (c) Miranda, 2022
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.sourceTreballs Finals de Grau (TFG) - Física
dc.subject.classificationGrafècat
dc.subject.classificationEstructura electrònicacat
dc.subject.classificationDiagrames de fasecat
dc.subject.classificationTreballs de fi de grau
dc.subject.otherGrapheneeng
dc.subject.otherElectronic structureeng
dc.subject.otherPhase diagramseng
dc.subject.otherBachelor's theses
dc.titlePhase diagram of graphene: a mean field analysiseng
dc.typeinfo:eu-repo/semantics/bachelorThesisca

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