A Scaling Theory of the Hall Effect in Disordered Electronic Systems.
Abstract
A scaling theory for the Hall effect in disordered electronic systems is developed. It is suggested that a universal scaling function for the Hall conductance exists, and the leading quantum correction to the classical value (d-2) of this function is calculated (d is the dimensionality). It is shown, by means of a scaling argument, that at the mobility edge the zero temperature Hall conductivity approached zero with an exponent t sub h = 2t, where t is the conductivity exponent. This relation between the exponents is supported by a microscopic calculation in 2 + epsilon dimensions, which yields t = 1, t sub h = 2.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1981
- Accession Number
- ADA098460
Entities
People
- Boris Shapiro
- Elihu Abrahams
Organizations
- Princeton University