Correlated quantum percolation in the lowest Landau level

Details Correlated quantum percolation in the lowest Landau level Correlated quantum percolation in the lowest Landau level

2003-11-20

arxiv.org/abs/cond-mat/0311484v1

Phys. Rev. B 70, 045309 (2004).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages, 12 figures

Scientific paper

10.1103/PhysRevB.70.045309

Our understanding of localization in the integer quantum Hall effect is informed by a combination of semi-classical models and percolation theory. Motivated by the effect of correlations on classical percolation we study numerically electron localization in the lowest Landau level in the presence of a power-law correlated disorder potential. Careful comparisons between classical and quantum dynamics suggest that the extended Harris criterion is applicable in the quantum case. This leads to a prediction of new localization quantum critical points in integer quantum Hall systems with power-law correlated disorder potentials. We demonstrate the stability of these critical points to addition of competing short-range disorder potentials, and discuss possible experimental realizations.

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