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Published September 2009 | public
Journal Article

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

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 We also thank E. Rezayi and S. Simon for explaining their unpublished work in which the quantum Hall Hamiltonian, truncated to three spin-polarized Landau levels, is numerically diagonalized.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

Created:
August 21, 2023
Modified:
October 19, 2023