Landau Level Mixing and Levitation of Extended States in Two Dimensions

Details Landau Level Mixing and Levitation of Extended States in Two Dimensions Landau Level Mixing and Levitation of Extended States in Two Dimensions

1996-06-21

arxiv.org/abs/cond-mat/9606155v1

Phys. Rev. Lett. 78, 298 (1997).

Physics

Condensed Matter

4 pages, 2 eps figures, uuencoded in 1 compressed tar file

Scientific paper

10.1103/PhysRevLett.78.298

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 {\em upward}, and the amount of levitation is proportional to $(n+1/2)/B^3$ for strong magnetic field, where $B$ is the magnetic field strength and $n$ is the Landau level index.

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