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 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) |
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Pages (from-to) | 132-134 |
Number of pages | 3 |
Journal | Physica E: Low-Dimensional Systems and Nanostructures |
Volume | 1 |
Issue number | 1-4 |
DOIs | |
State | Published - Jan 19 1997 |
Bibliographical note
Funding Information:We are grateful to V.I. Perel for valuable contributions to this work. A. Yu. D. was supported by the Russian Foundation for Basic Research. M. M. F. is a recipient of University of Minnesota’s Doctoral Dissertation Fellowship. M. M. F. and B. I. S. acknowledge support from NSF under Grant DMR-9616880.
Keywords
- Localization
- Quantum Hall effect
- Weak magnetic field