Interaction effects in disordered fermionic systems

• Grant number: 14/02153-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2014
• End date: December 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Eduardo Miranda
• Grantee: Luiz Filipe Campos Faria
• Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

In this project, we will study some quantum disordered systems of interacting fermions using approximation schemes such as Hartree or Hartree-Fock. A major part of this endeavor will be devoted to the application of already known techniques for the solution of systems of coupled non-linear equations (such as the modified Broyden method) to the search for solutions to the mean-field equations. We also aim at investigating the nature of the statistical correlations between the mean-field parameters induced by the interactions.