Topological heavy-fermion models for twisted bilayer graphene.

• Grant number: 25/07514-7
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• Start date: June 01, 2025
• End date: May 31, 2029
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Luis Gregório Godoy de Vasconcellos Dias da Silva
• Grantee: Marcos de Cerqueira Leite Pimentel
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 22/15453-0 - Correlated quantum materials, AP.TEM

Abstract

This Ph.D. research project focuses on understanding the properties of minimal models for magic angletwisted bilayer graphene (MATBLG). MATBLG exhibits unique electronic properties due to the presence offlat bands and extended states, making it an intriguing platform for studying correlated electron systems.The project aims to investigate different Anderson-like models related to the "topological heavy fermionmodel" recently proposed by Song and Bernevig aiming to reconcile the localized and extended states withinthe electronic structure. Techniques such as Dynamical Mean Field Theory (DMFT) and the NumericalRenormalization Group (NRG) will be utilized to analyze the behavior of these models.