Abstract
The transition between localized and extended eigenstates in the integral quantum Hall regime is observable as a scaling phenomenon in the magnetoresistance tensor as a function of temperature and applied magnetic field strength. Field-theoretic studies on the quantum Hall effect are used to derive the scaling functions. The scaling behavior is shown to involve only a single critical exponent () which is the ratio between the inelastic-scattering exponent () and twice the localization length exponent (). The results have recently been confirmed experimentally.
- Received 25 February 1988
DOI:https://doi.org/10.1103/PhysRevLett.61.1297
©1988 American Physical Society