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VOLUME 38 (1983) | ISSUE 9 | PAGE 454
Quantization of Hall conductivity
A qualitative explanation is given for the experimentally observed quantization of the Hall conductivity axy in units Å2/2ÔÇ1Ç for two-dimensional systems in a magnetic field. The explanation is based on the formulation of the localization theory in terms of the renormalization group. The difference between axy and ne2/ 2ÔéÇ (Saxy) at finite temperatures is related only to the presence of the dissipative conductivity σχχ (\Saxy \ ~ ασχχ, where α is a number of order 1).