Dynamical delocalization in random Landau Hamiltonians

@inproceedings{Germinet2004DynamicalDI,
  title={Dynamical delocalization in random Landau Hamiltonians},
  author={François Germinet and Abel Klein and Jeffrey H. Schenker},
  year={2004}
}
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… CONTINUE READING
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Showing 1-10 of 82 references

Equality of the bulk and edge Hall conductances in a mobility gap

  • B. Schlein
  • Comm . Math . Phys .
  • 2005

Global continuity of the integrated density of states for random Landau Hamiltonians

  • J. M. Combes, P. D. Hislop, S. Nakamura
  • Comm . Partial Differential Equations
  • 2004

Sub-exponential decay of operator kernels for functions of generalized Schrödinger operators

  • J. M. BoGK Bouclet, F. Germinet, A. Klein
  • Proc. Amer. Math. Soc
  • 2004

Wegner estimates and localization for Gaussian random potentials

  • N. Ueki
  • Publ. Res. Inst. Math. Sci
  • 2004

percolation , and Anderson localization for the magnetic Schrödinger operator with a random potential

  • Microlocalization
  • Publ . Publ . Res . Inst . Math . Sci .
  • 2004

Explicit finite volume criteria for localization in continuous random media and applications

  • F. Germinet, A. Klein
  • Geom. Funct. Anal
  • 2003

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