The Fate of Lifshitz Tails in Magnetic Fields

Details The Fate of Lifshitz Tails in Magnetic Fields The Fate of Lifshitz Tails in Magnetic Fields

1995-03-10

arxiv.org/abs/cond-mat/9503057v1

Journal of Statistical Physics 80 (1995) 1-22

Physics

Condensed Matter

19 pages LaTeX

Scientific paper

We investigate the integrated density of states of the Schr\"odinger operator in the Euclidean plane with a perpendicular constant magnetic field and a random potential. For a Poisson random potential with a non-negative algebraically decaying single-impurity potential we prove that the leading asymptotic behaviour for small energies is always given by the corresponding classical result in contrast to the case of vanishing magnetic field. We also show that the integrated density of states of the operator restricted to the eigenspace of any Landau level exhibits the same behaviour. For the lowest Landau level, this is in sharp contrast to the case of a Poisson random potential with a delta-function impurity potential.

Affiliated with

Also associated with

No associations

Rating

The Fate of Lifshitz Tails in Magnetic Fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Fate of Lifshitz Tails in Magnetic Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Fate of Lifshitz Tails in Magnetic Fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-296689