Homotopy arguments for quantized Hall conductivity

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 par...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical physics 2001-08, Vol.42 (8), p.3439-3444
Main Authors: Richter, T., Schulz-Baldes, H.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1379070