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 (n + 1/2)/B3 for strong magnetic field, where B is the magnetic field strength and n is the Landau level index.
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy