CaltechAUTHORS
Published September 2009 | Version public
Journal Article Metadata-only

Effect of Landau level mixing on the effective interaction between electrons in the fractional quantum Hall regime

Creators

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon University of California, Santa Barbara

Abstract

We compute the effect of Landau-level mixing on the effective two-body and three-body pseudopotentials for electrons in the lowest and second Landau levels. We find that the resulting effective three-body interaction is attractive in the lowest relative angular momentum channel. The renormalization of the two-body pseudopotentials also shows interesting structure. We comment on the implications for the v = 5/2 fractional quantum Hall state.

Additional Information

© 2009 American Physical Society. Received 12 August 2009; published 3 September 2009. We would like to thank P. Bonderson, S. Das Sarma, A. Feiguin, S.-S. Lee, M. Levin, R. Morf, E. Rezayi, S. Ryu, K. Shtengel, S. Simon, and Kun Yang for discussions. We also thank E. Rezayi and S. Simon for explaining their unpublished work in which the quantum Hall Hamiltonian, truncated to three spin-polarized Landau levels, is numerically diagonalized.

Additional details

Identifiers

Eprint ID
16430
DOI
10.1103/PhysRevB.80.121302
Resolver ID
CaltechAUTHORS:20091021-121340389

Related works

Describes
10.1103/PhysRevB.80.121302 (DOI)

Dates

Created
2009-10-21
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Updated
2021-11-08
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