Bellissard J, van Elst A, Schulz-Baldes H (1994)
Publication Type: Journal article
Publication year: 1994
Publisher: American Institute of Physics (AIP)
Book Volume: 35
Pages Range: 5373-5451
URI: http://de.arxiv.org/abs/cond-mat/9411052
DOI: 10.1063/1.530758
An overview of the integer quantum Hall effect is given. A mathematical framework using nonommutative geometry as defined by Connes is prepared. Within this framework, it is proved that the Hall conductivity is quantized and that plateaux occur when the Fermi energy varies in a region of localized states.
APA:
Bellissard, J., van Elst, A., & Schulz-Baldes, H. (1994). The non-commutative geometry of the quantum Hall effect. Journal of Mathematical Physics, 35, 5373-5451. https://doi.org/10.1063/1.530758
MLA:
Bellissard, Jean, A. van Elst, and Hermann Schulz-Baldes. "The non-commutative geometry of the quantum Hall effect." Journal of Mathematical Physics 35 (1994): 5373-5451.
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