Banca de DEFESA: CAIO ALMEIDA ALVES DE SOUZA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : CAIO ALMEIDA ALVES DE SOUZA
DATA : 22/10/2021
HORA: 15:00
LOCAL: Por participação remota
TÍTULO:

Fermion Number Fractionalization in Dirac Materials

PÁGINAS: 114
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
SUBÁREA: Física das Partículas Elementares e Campos
ESPECIALIDADE: Teoria Geral de Partículas e Campos
RESUMO:

In this presentation, we will discuss the main developments and current state of the research project. In general lines, we propose to investigate a spectral function (asymmetry, in particular) of several models with topological backgrounds, especially in the context that concerns the so-called Dirac materials. We will start by discussing about the ‘fermion number’ quantity and its values in some field theories. Afterwards, some notions on the spectral geometry of Laplace-type operators will be inserted, also relating them to the Dirac-type ones, which are fundamental to understand the formalism to be derived and adopted in order to calculate the fermion number; the key idea of our study lies in the application of techniques provided by the heat kernel trace. After that, we will present some results obtained by applying the said method in certain theoretical models of interest, containing Dirac fermions. At long last, some partial results under evaluation will be briefly introduced, setting up the prospects of our work, together with a small assertion with respect to the experimental importance.

MEMBROS DA BANCA:
Membro Titular - Examinador(a) Interno ao Programa - 1574260 - ROLDAO DA ROCHA JUNIOR
Membro Titular - Examinador(a) Externo à Instituição - JOAO PAULO PITELLI MANOEL - UNICAMP
Presidente - Externo ao Programa - 1837715 - RODRIGO FRESNEDA
Membro Suplente - Examinador(a) Interno ao Programa - 2616823 - ALYSSON FABIO FERRARI
Membro Suplente - Examinador(a) Interno ao Programa - 1939597 - ANDRE GUSTAVO SCAGLIUSI LANDULFO