# name
Phase diagram of graphene: a mean field analysis

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022, Tutors: Bruno Juliá-Díaz, Alexandre Dauphin

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We 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 method

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Phase diagram of graphene: a mean field analysis