Abstract
We study the effects of mixing of different Landau levels on the energies of one-body states, in the presence of a strong uniform magnetic field and a random potential in two dimensions. We use a perturbative approach and develop a systematic expansion in both the strength and smoothness of the random potential. We find the energies of the extended states shift upward, and the amount of levitation is proportional to for strong magnetic field, where is the magnetic field strength and is the Landau level index.
- Received 21 June 1996
DOI:https://doi.org/10.1103/PhysRevLett.78.298
©1997 American Physical Society