Orbital Magnetism in graphene-like materials
Translated title
Rigorous Aspects of Orbital Magnetism in Graphene-like Materials
Author
Term
4. term (FYS10)
Education
Publication year
2011
Submitted on
2011-06-01
Pages
51
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.
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