Abstract
We numerically study the fractional quantum Hall effect at filling factors and 13/5 (the particle-hole conjugate of 12/5) in high-quality two-dimensional GaAs heterostructures via exact diagonalization including finite well width and Landau-level mixing. We find that Landau-level mixing suppresses the fractional quantum Hall effect relative to . By contrast, we find both and (its particle-hole conjugate) fractional quantum Hall effects in the lowest Landau level to be robust under Landau-level mixing and finite well-width corrections. Our results provide a possible explanation for the experimental absence of the 13/5 fractional quantum Hall state as caused by Landau-level mixing effects.
1 More- Received 23 April 2016
- Revised 16 July 2016
DOI:https://doi.org/10.1103/PhysRevB.94.075108
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