AAU-ETD AAU-ETD
 

Addis Ababa University Libraries Electronic Thesis and Dissertations: AAU-ETD! >
Faculty of Science >
Thesis - Physics >

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/4225

Title: STRONGLY MAGNETIZED TWO DIMENSIONAL ELECTRON GAS WITH ACCOUNT OF CONFINEMENT AND PAIR INTERACTION OF ELECTRONS
Authors: ZELALEM, ABEBE
Advisors: PROF. VADIM N. MAL'NEV
Keywords: exotic electron correlation phenomena
fractional quantum Hall e ect
Copyright: Jun-2011
Date Added: 8-Dec-2012
Publisher: A.A.U
Abstract: During the past decade two-dimensional electron systems at low temperatuer and high magnetic eld have repeatedly surprised with exotic electron correlation phenomena. The quantum liquids of the fractional quantum Hall e ect (FQHE), the still enigmatic electron crystal at very low lling factors, and vanishing and reappearance of certain quantum Hall states in double layer electron systems all re ect the dominance of electron-electron interaction at very high magnetic elds. Recently the nature of the electronic interaction at the half- lled Landau levels has received much attention. The magnetization of twodimensional electron gases at low temperatures and in a strong magnetic eld B oriented normal to the plane of the electron motion was calculated along the same lines as in the work of Landau. With in two-dimensional electron system new surprises arise year after year, exotic states of electronic matter, new materials with fascinating quantum Hall properties keep triggering an intense activity in the eld. Two-dimensional electron gases with crossing energy levels can be realized in a variety of systems with di erent relative sizes of orbital and spin e ects, Coulomb energy, and di erent coupling between the components. Their study has lead to the discovery of many correlated Quantum Hall states and much e ort is put into unravelling the energy-level structure of these systems. In this work we have four parts. The rst part contens Two-Dimensional Electron gas, Quantum Con nement and Density of States, Potential wells in Semiconductors, Con nement of Electrons, E ect of Quantum Con nement on Electrons, Semiconductors Nanostructures with Con ned Electrons and Properties and Applications of Con ned Electron Gases. The second part includes Landau Levels and Landau Level degeneracy. The third part is about Classical and Quantum Hall e ect. Finally the forth part presents two charged particles in a magnetic eld and Parabolic con nement in strong magnetic eld. Here we see charged particle in weak magnetic eld and how the particle is con ned.
Description: A Thesis Submitted to the School of Graduate Studies Addis Ababa University in Partial Ful_llment of the Requirement for the Degree of Master of Science in Physics
URI: http://hdl.handle.net/123456789/4225
Appears in:Thesis - Physics

Files in This Item:

File Description SizeFormat
Zelalem.pdf933.98 kBAdobe PDFView/Open

Items in the AAUL Digital Library are protected by copyright, with all rights reserved, unless otherwise indicated.

 

  Last updated: May 2010. Copyright © Addis Ababa University Libraries - Feedback