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Study of disordered strongly interacting fermionic systems

Grant number: 15/01966-1
Support type:Scholarships in Brazil - Doctorate (Direct)
Effective date (Start): May 01, 2015
Effective date (End): February 28, 2019
Field of knowledge:Physical Sciences and Mathematics - Physics - Condensed Matter Physics
Principal Investigator:Eduardo Miranda
Grantee:Luiz Filipe Campos Faria
Home Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

In this project we will study disordered interacting fermionic systems through the Strong Disorder Renormalization Group (SDRG) technique. One of our motivations for this study is the elucidation of the effects of interactions on the Anderson metal-insulator transition. The SDRG is a powerful tool for the investigation of disordered systems, one which has yet to be applied in its full extension to the analysis of this important class of systems. Our final goal is the determination of the phase diagram and the physical properties of the disordered Hubbard and t-J models, in one and more dimensions, and the nature of the transitions between the phases. (AU)