Properties of circular quantum dots

Author(s)

William Freitas e Silva

• Document type: Master's Dissertation
• Press: Campinas, SP.
• Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin
• Defense date: 2020-09-22

Examining board members

Silvio Antonio Sachetto Vitiello; Renato Pessoa Vale; Ricardo Luís Doretto

• Advisor: Silvio Antonio Sachetto Vitiello

Abstract

This research project aims to deep the understanding of many-body effects of finite quantum many-body systems. Quantum dots allow the study of bi-dimensional systems that show discrete energy levels with a structure similar to that one of an atom, which exhibits shell structure and magic numbers. Moreover, the application of magnetic field on these systems changes the organization of the energy spectra and it also triggers the formation of persistent currents. Throughout sophisticated quantum Monte Carlo methods, it was analysed and evaluated variations of the electrochimical potential as a function of the number of electrons in the quantum dot, persistent currents, and the behaviour over applied magnetic fields. Although the difficulties to handle systems without time-reversal symmetry by this class of method, the approach used has shown effective and it also has produced good results. A careful analysis of the efficiency and of the features of the variational path-integral Monte Carlo method was also performed (AU)

• FAPESP's process: 17/26117-2 - Properties of circular quantum dots
• Grantee: William Freitas e Silva
• Support Opportunities: Scholarships in Brazil - Master