Short and long ranged impurities in fractional quantum Hall systems

Abstract

Short- and long-range impurities have been examined for fractional quantum Hall systems. There appears to be a consistent computational picture for short-range impurities. In the case of long-range impurities, calculations agree qualitatively with experiment, in that the critical mobility is very sensitive to long-range impurities and the critical mobility for long range impurities is larger than the critical mobility for short-range impurities. The physical mechanism of this sensitivity and a quantitative understanding remain a challenging computational issue.