Corrections to Scaling in the Integer Quantum Hall Effect

Details Corrections to Scaling in the Integer Quantum Hall Effect Corrections to Scaling in the Integer Quantum Hall Effect

1994-02-10

arxiv.org/abs/cond-mat/9402048v1

Phys. Rev. Lett. 72, 1080-1083 (1994)

Physics

Condensed Matter

8 pages, RevTeX 3.0, 7 PostScript figures in uuencoded compressed tar file included

Scientific paper

10.1103/PhysRevLett.72.1080

Finite size corrections to scaling laws in the centers of Landau levels are studied systematically by numerical calculations. The corrections can account for the apparent non-universality of the localization length exponent $\nu{}$. In the second lowest Landau level the irrelevant scaling index is $y_{\mathrm{irr}}=-0.38\pm0.04$. At the center of the lowest Landau level an additional periodic potential is found to be irrelevant with the same scaling index. These results suggest that the localization length exponent $\nu$ is universal with respect to Landau level index and an additional periodic potential.

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