Abstract
We show, based on a direct numerical calculation of the Lyapunov exponents of the system and a finite-size single parameter scaling analysis, that the strong-field Landau level localization in a disordered two-dimensional electron gas is non-universal for short-range delta function random scatterers in the sense that the critical exponents in the two lowest Landau levels are substantially different. Inclusion of Landau level coupling and/or consideration of finite range of the random scattering potential in the theory restore the universality and make the computed critical exponents approximately equal.
Dates
Type | When |
---|---|
Created | 20 years, 9 months ago (Nov. 19, 2004, 7:08 a.m.) |
Deposited | 6 years ago (Aug. 6, 2019, 12:01 p.m.) |
Indexed | 1 day, 22 hours ago (Sept. 3, 2025, 6:36 a.m.) |
Issued | 32 years, 5 months ago (March 20, 1993) |
Published | 32 years, 5 months ago (March 20, 1993) |
Published Online | 13 years, 9 months ago (Nov. 21, 2011) |
Published Print | 32 years, 5 months ago (March 20, 1993) |
@article{LIU_1993, title={UNIVERSALITY IN TWO–DIMENSIONAL LANDAU LEVEL LOCALIZATION}, volume={07}, ISSN={1793-6640}, url={http://dx.doi.org/10.1142/s0217984993000448}, DOI={10.1142/s0217984993000448}, number={07}, journal={Modern Physics Letters B}, publisher={World Scientific Pub Co Pte Lt}, author={LIU, DONGZI and DAS SARMA, S.}, year={1993}, month=mar, pages={449–457} }