Abstract

Numerical results are presented for R xx and R xy in a rectangular Hall geometry from B = 0 − 10T. At low fields we find the usual semiclassical results while at high fields both Shubnikov-de Haas oscillations and the quantum Hall effect are evident. Electrochemical potential profiles and current flow patterns are also discussed. The analysis is based on a linear response equation derived earlier from the Keldysh formalism. This equation assumes low temperatures and point-like phase-breaking scatterers. We also discuss how this equation is generalized to high temperatures and extended scatterers.

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