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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Research Article| August 01 2001
Homotopy arguments for quantized Hall conductivity
T. Richter, H. Schulz-Baldes; Homotopy arguments for quantized Hall conductivity. J. Math. Phys. 1 August 2001; 42 (8): 3439–3444. https://doi.org/10.1063/1.1379070
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