Quantum and classical localization in the lowest Landau level
arXiv:cond-mat/0304616 · doi:10.1103/PhysRevB.68.205315
Abstract
Spatial correlations of occupation probabilities, if their decay is not too fast, can change the critical exponents for classical percolation. From numerical studies of electron dynamics in the lowest Landau level (LLL) we demonstrate the quantum analog of this effect. Similar to classical percolation, we find that the extended Harris criterion applies to localization in the LLL. These results suggest experiments that might probe new quantum critical points in the integer quantum Hall setting.
arXiv comment4 pages, 3 figures
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Cited by in corpus (6)
- Random Network Models and Quantum Phase Transitions in Two Dimensions
- Marginal Anderson localization and many body delocalization
- Extended states in disordered systems: role of off-diagonal correlations
- Effects of Scale-Free Disorder on the Anderson Metal-Insulator Transition
- Correlated quantum percolation in the lowest Landau level
- Real-space renormalization-group approach to the integer quantum Hall effect