Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/188731
Title: | Phase diagram of graphene: a mean field analysis |
Author: | Miranda Riaza, Marc |
Director/Tutor: | Juliá-Díaz, Bruno Dauphin, Alexandre |
Keywords: | Grafè Estructura electrònica Diagrames de fase Treballs de fi de grau Graphene Electronic structure Phase diagrams Bachelor's theses |
Issue Date: | Jun-2022 |
Abstract: | 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 |
Note: | Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022, Tutors: Bruno Juliá-Díaz, Alexandre Dauphin |
URI: | http://hdl.handle.net/2445/188731 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Física |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
MIRANDA RIAZA MARC_6057616_assignsubmission_file_TFG-Miranda-Riaza-Marc.pdf | 1.06 MB | Adobe PDF | View/Open |
This item is licensed under a
Creative Commons License