A numerical study of magnetotransport in the quantum Hall regime
Abstract
In this thesis, we present a detailed numerical study of the Integer Quantum Hall Effect using a simplified quantum kinetic equation. We consider a rectangular Hall bar with a uniform distribution of phase-breaking scatterers and compute the terminal characteristics (R$\sb{\rm xx}$, R$\sb{\rm xy}$) from the low field to the quantum Hall regime. In addition to the terminal characteristics, we also compute internal quantities, such as the current distribution and the electrochemical and electrostatic potential profiles in order to clarify some important conceptual issues. Finally, we investigate the origin of the anomalous peak in R$\sb{\rm xx}$ in the quantum Hall regime in the presence of a single impurity.
Degree
Ph.D.
Advisors
Datta, Purdue University.
Subject Area
Electrical engineering
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