In this thesis, an overview of non-equilibrium Green's function (NEGF) technique is presented. The entire formulism is derived from the starting point of the definitions of Green's functions. The special application of NEGF to transport problems is discussed in details. A brief introduction of Kondo phenomenon and several theoretical approaches are presented. Using the knowledge of NEGF and Kondo problem in general, we investigated the Kondo phenomenon in double quantum dots (DQD) in great detail. In this application, the physical quantities are derived in terms of Green's functions and self-consistent equations determining the state of the system are solved numerically. A phase diagram is presented as the result of competition between Kondo effect and magnetic exchange interaction, and spin flipping scattering center in the DQD system is shown to have great effect as it breaks the coherence between the two QDs under certain circumstances.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.84042 |
| Date | January 2005 |
| Creators | Ji, Tao, 1981- |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Master of Science (Department of Physics.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 002292888, proquestno: AAIMR22734, Theses scanned by UMI/ProQuest. |
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