Enigmatic 12/5 fractional quantum Hall effect

Kiryl Pakrouski, Matthias Troyer, Yang-Le Wu, Sankar Das Sarma, and Michael R. Peterson
Phys. Rev. B 94, 075108 – Published 4 August 2016

Abstract

We numerically study the fractional quantum Hall effect at filling factors ν=12/5 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 ν=13/5 fractional quantum Hall effect relative to ν=12/5. By contrast, we find both ν=2/5 and (its particle-hole conjugate) ν=3/5 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.

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  • Received 23 April 2016
  • Revised 16 July 2016

DOI:https://doi.org/10.1103/PhysRevB.94.075108

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Kiryl Pakrouski1, Matthias Troyer1,2,3, Yang-Le Wu4, Sankar Das Sarma4, and Michael R. Peterson5

  • 1Theoretische Physik and Station Q Zurich, ETH Zurich, 8093 Zurich, Switzerland
  • 2Quantum Architectures and Computation Group, Microsoft Research, Redmond, Washington 98052, USA
  • 3Microsoft Research Station Q, Santa Barbara, California 93106, USA
  • 4Joint Quantum Institute and Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA
  • 5Department of Physics & Astronomy, California State University Long Beach, Long Beach, California 90840, USA

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Issue

Vol. 94, Iss. 7 — 15 August 2016

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