A master thesis from Aalborg University
Orbital Magnetism in graphene-like materials
[Rigorous Aspects of Orbital Magnetism in Graphene-like Materials]
Author(s)
Term
4. term (FYS10)
Education
Publication year
2011
Submitted on
2011-06-01
Pages
51 pages
Abstract
In this presentation we develop a theory for calculating the off-diagonal tensor element of the 2D conductivity tensor σ , for a two dimensional crystal immersed in a constant homogenous magnetic field, using a Harper-type Hamiltonian and Peierls substituion and a discrete model of the crystal. Ve show that σ21 has an asymptotic expansion in the magnetic field strength b, that σ_12(b = 0) is zeroand develop a formula for the first derivative σ_12'(b = 0). This coefficient plays a major role in the theory concerning the Faraday rotation effect. The main mathematical tolls used here is spectral theory for Harper-type operators, Combes-Thomas localization, Magnetic pertubation theory and Bloch-Floquet theory.
Documents
Colophon: This page is part of the AAU Student Projects portal, which is run by Aalborg University. Here, you can find and download publicly available bachelor's theses and master's projects from across the university dating from 2008 onwards. Student projects from before 2008 are available in printed form at Aalborg University Library.
If you have any questions about AAU Student Projects or the research registration, dissemination and analysis at Aalborg University, please feel free to contact the VBN team. You can also find more information in the AAU Student Projects FAQs.