Date of Award

2009

Degree Type

Thesis

Degree Name

M.Sc.

Department

Physics

First Advisor

Kim, Eugene (Department of Physics)

Keywords

Physics, Condensed Matter.

Rights

CC BY-NC-ND 4.0

Abstract

In this thesis, possibility of quantum phase transition in systems composed of quantum dots will be studied. We also investigate the consequence of this phase transition on transport. We particularly consider a triple quantum dot system (three quantum dots sitting on the corners of an equilateral triangle) coupled to three leads symmetrically. To probe quantum phase transition we utilize slave-boson mean-field theory and to investigate transport properties we use scattering formalism. We detect a competition between Kondo and non-Kondo regime in this system. This competition affects transport in a way that conductance and noise will become zero when the non-Kondo regime dominates, in other words when the system crosses the phase boundaries. The results of this research can motivate experiments on the same systems to probe quantum phase transition and provides theoretical background for the experiment. It can also motivate future theoretical work using different methods from mean-field theory.

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