Landau level mixing and levitation of extended states in two dimensions

F. D.M. Haldane; Kun Yang

doi:10.1103/PhysRevLett.78.298

Landau level mixing and levitation of extended states in two dimensions

F. D.M. Haldane, Kun Yang

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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 (n + 1/2)/B³ for strong magnetic field, where B is the magnetic field strength and n is the Landau level index.

Original language	English (US)
Pages (from-to)	298-301
Number of pages	4
Journal	Physical review letters
Volume	78
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevLett.78.298
State	Published - Jan 13 1997

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.78.298

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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 (n + 1/2)/B3 for strong magnetic field, where B is the magnetic field strength and n is the Landau level index.",

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AB - 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.

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Landau level mixing and levitation of extended states in two dimensions

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