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 ξ as a function of magnetic field B at such minima for several models of disorder ("white-noise", short-range, and long-range random potentials). We find that ξ ∝ B-α with the exponent α between one and 10/3, depending on the model. In particular, for the "white-noise" random potential ξ roughly coincides with the classical cyclotron radius. Our results are in agreement with available experimental data.
|Original language||English (US)|
|Number of pages||3|
|Journal||Physica E: Low-Dimensional Systems and Nanostructures|
|State||Published - Jan 19 1997|
- Quantum Hall effect
- Weak magnetic field