Landau-Level Mixing and the Emergence of Pfaffian Excitations for the 5/2 Fractional Quantum Hall Effect

Arkadiusz Wójs, Csaba Tőke, and Jainendra K. Jain
Phys. Rev. Lett. 105, 096802 – Published 27 August 2010

Abstract

We report on exact diagonalization studies for fully spin polarized 5/2 fractional quantum Hall effect, incorporating Landau-level mixing through the Bishara-Nayak effective interaction. We find that there is an experimentally accessible region in the phase diagram where the Pfaffian model accurately describes not only the ground state but also the neutral and charged excitations. These results are consistent with the observed persistence of the 5/2 Hall effect down to very low magnetic fields; they are also relevant to the experimental attempts to detect non-Abelian braid statistics.

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  • Received 24 May 2010

DOI:https://doi.org/10.1103/PhysRevLett.105.096802

© 2010 The American Physical Society

Authors & Affiliations

Arkadiusz Wójs1,2, Csaba Tőke3, and Jainendra K. Jain4

  • 1TCM Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom
  • 2Institute of Physics, Wroclaw University of Technology, 50-370 Wroclaw, Poland
  • 3Institute of Physics, University of Pécs, 7624 Pécs, Hungary
  • 4Department of Physics, 104 Davey Lab, Pennsylvania State University, University Park Pennsylvania, 16802, USA

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Issue

Vol. 105, Iss. 9 — 27 August 2010

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