Abstract: | The quantum localization is known to be responsible for the deep conductivity minima of the quantum Hall effect. In this paper we calculate the localization length
as a function of magnetic field
at such minima for several models of disorder (“white-noise”, short-range, and long-range random potentials). We find that
with the exponent
between one and
, depending on the model. In particular, for the “white-noise” random potential
roughly coincides with the classical cyclotron radius. Our results are in agreement with available experimental data. |