Avui, dilluns 8 de juny, el Dipòsit Digital no estarà operatiu de 15:00 a 17:00 h per tasques de manteniment. Disculpeu les molèsties.
Hoy, lunes 8 de junio, el Dipòsit Digital no estará operativo de 15:00 a 17:00 h debido a tareas de mantenimiento. Disculpen las molestias.
Today, Monday, Jun 8th, the Digital Repository will be unavailable due to a system update.

Files

MIRANDA RIAZA MARC_6057616_assignsubmission_file_TFG-Miranda-Riaza-Marc.pdf (1.03 MB)

Document type

Bachelor thesis

Publication date

2022-06

Publication license

cc-by-nc-nd (c) Miranda, 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/188731

Phase diagram of graphene: a mean field analysis

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

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

Description

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

Subject

Grafè, Estructura electrònica, Diagrames de fase, Treballs de fi de grau

Subject (English)

Graphene, Electronic structure, Phase diagrams, Bachelor's theses

Citation

Collections

Treballs Finals de Grau (TFG) - Física

Citation

MIRANDA RIAZA, Marc. Phase diagram of graphene: a mean field analysis. [consulted: 8 of June of 2026]. Available at: https://hdl.handle.net/2445/188731

Export metadata

JSON - METS

Share record