The Mott transition in the particle-hole asymmetric Hubbard model.

• Grant number: 24/05338-4
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2024
• End date: December 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Luis Gregório Godoy de Vasconcellos Dias da Silva
• Grantee: Luan de Souza Silva
• 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

The project aims to investigate the metal-insulator transition (MIT) in the particle-hole asymmetric Hubbard model. The study revisits this interesting problem by focusing on the behavior of the chemical potential at the critical point of the Mott transition and by employing methods such as exact diagonalization and the Density Matrix Renormalization Group (DMRG). Special attention is given to the relationship between the onsite energy and the chemical potential, with insights drawn from the literature. The scientific goals include introducing the student to key concepts in strongly correlated systems, acquiring proficiency in computational methods, and preparing for further academic pursuits. Overall, this project seeks to deepen our understanding of the Mott transition and provide valuable training for the student's future research endeavors.