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By Nicolas Dombrowski, François Germinet and Georgi Raikov

Abstract

Abstract. We investigate the edge conductance of particles submitted to an Iwatsuka magnetic field, playing the role of a purely magnetic barrier. We also consider magnetic guides generated by generalized Iwatsuka potentials. In both cases we prove quantization of the edge conductance. Next, we consider magnetic perturbations of such magnetic barriers or guides, and prove stability of the quantized value of the edge conductance. Further, we establish a sum rule for edge conductances. Regularization within the context of disordere

Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.178.3696
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