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...

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Published in:Journal of mathematical physics 2001-08, Vol.42 (8), p.3439-3444
Main Authors: Richter, T., Schulz-Baldes, H.
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Language:English
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description 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.
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title Homotopy arguments for quantized Hall conductivity
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