Quantization of edge currents of continuous magnetic operators
Kellendonk J, Schulz-Baldes H (2004)
Publication Type: Journal article
Publication year: 2004
Journal
Publisher: Elsevier
Book Volume: 209
Pages Range: 388-413
URI: http://de.arxiv.org/abs/math-ph/0405021
DOI: 10.1016/S0022-1236(03)00174-5
Abstract
For a magnetic Hamiltonian on a half-plane given by the sum of the Landau operator with Dirichlet boundary conditions and a random potential, a quantization theorem for the edge currents is proven. This shows that the concept of edge channels also makes sense in presence of disorder. Moreover, Gaussian bounds on the heat kernel and its covariant derivatives are obtained. © 2003 Elsevier Inc. All rights reserved.
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APA:
Kellendonk, J., & Schulz-Baldes, H. (2004). Quantization of edge currents of continuous magnetic operators. Journal of Functional Analysis, 209, 388-413. https://doi.org/10.1016/S0022-1236(03)00174-5
MLA:
Kellendonk, Johannes, and Hermann Schulz-Baldes. "Quantization of edge currents of continuous magnetic operators." Journal of Functional Analysis 209 (2004): 388-413.
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