02-4 Th. Richter, H. Schulz-Baldes

Homotopy arguments for quantized Hall conductivity (199K, ps) Jan 3, 02

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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.

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