Homotopy arguments for quantized Hall conductivity
Richter T, Schulz-Baldes H (2001)
Publication Type: Journal article
Publication year: 2001
Journal
Publisher: American Institute of Physics (AIP)
Book Volume: 42
Pages Range: 3439-3444
URI: http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=02-4
DOI: 10.1063/1.1379070
Abstract
Using the strong localization bounds obtained by the Aizenman-Molcanov method for a particle in a magnetic field and a disordered potential, we show that the zero-temperature Hall conductivity of a gas of such particles is quantized and constant as long as both Fermi energy and disorder coupling parameter vary in a region of strong localization of the corresponding two-dimensional phase diagram. © 2001 American Institute of Physics.
Authors with CRIS profile
Involved external institutions
Germany (DE)How to cite
APA:
Richter, T., & Schulz-Baldes, H. (2001). Homotopy arguments for quantized Hall conductivity. Journal of Mathematical Physics, 42, 3439-3444. https://dx.doi.org/10.1063/1.1379070
MLA:
Richter, Thomas, and Hermann Schulz-Baldes. "Homotopy arguments for quantized Hall conductivity." Journal of Mathematical Physics 42 (2001): 3439-3444.
BibTeX: Download