Geodesic
Dynamical delocalization in random Landau Hamiltonians
François Germinet1 ; Abel Klein2 ; Jeffrey H. Schenker3
1 Département de Mathématiques, Université de Cergy-Pontoise, 95302 Cergy-Pontoise, France
2 Department of Mathematics, University of California, Irvine, CA 92697, United States
3 Department of Mathematics, Michigan State University, East Lansing, MI 48824, United States
Annals of mathematics, Tome 166 (2007) no. 1, pp. 215-244.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove the existence of dynamical delocalization for random Landau Hamiltonians near each Landau level. Since typically there is dynamical localization at the edges of each disordered-broadened Landau band, this implies the existence of at least one dynamical mobility edge at each Landau band, namely a boundary point between the localization and delocalization regimes, which we prove to converge to the corresponding Landau level as either the magnetic field goes to infinity or the disorder goes to zero.
DOI : 10.4007/annals.2007.166.215

François Germinet 1 ; Abel Klein 2 ; Jeffrey H. Schenker 3

1 Département de Mathématiques, Université de Cergy-Pontoise, 95302 Cergy-Pontoise, France
2 Department of Mathematics, University of California, Irvine, CA 92697, United States
3 Department of Mathematics, Michigan State University, East Lansing, MI 48824, United States 
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François Germinet; Abel Klein; Jeffrey H. Schenker. Dynamical delocalization in random Landau Hamiltonians. Annals of mathematics, Tome 166 (2007) no. 1, pp. 215-244. doi : 10.4007/annals.2007.166.215. http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.166.215/

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