Quasiclassical approach to the weak levitation of extended states in the quantum Hall effect
- School of Natural Sciences, Institute for Advanced Study, Olden Lane, Princeton, New Jersey 08540 (United States)
The two-dimensional motion of a charged particle in a random potential and a transverse magnetic field is believed to be delocalized only at discrete energies E{sub N}. In strong fields there is a small positive deviation of E{sub N} from the center of the Nth Landau level, which is referred to as the {open_quotes}weak levitation{close_quotes} of the extended state. I calculate the size of the weak levitation effect for the case of a smooth random potential rederiving earlier results of Haldane and Yang [Phys. Rev. Lett. {bold 78}, 298 (1997)] and extending their approach to lower magnetic fields. I find that as the magnetic field decreases, this effect remains weak down to the lowest field B{sub min} where such a quasiclassical approach is still justified. Moreover, in the immediate vicinity of B{sub min} the weak levitation becomes additionally suppressed. This indicates that the {open_quotes}strong levitation{close_quotes} expected at yet even lower magnetic fields must be of a completely different origin. {copyright} {ital 1998} {ital The American Physical Society}
- OSTI ID:
- 615001
- Journal Information:
- Physical Review, B: Condensed Matter, Vol. 57, Issue 19; Other Information: PBD: May 1998
- Country of Publication:
- United States
- Language:
- English
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