Enigmatic 4/11 State: A Prototype for Unconventional Fractional Quantum Hall Effect

Sutirtha Mukherjee, Sudhansu S. Mandal, Ying-Hai Wu, Arkadiusz Wójs, and Jainendra K. Jain
Phys. Rev. Lett. 112, 016801 – Published 6 January 2014; Erratum Phys. Rev. Lett. 112, 199902 (2014)
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Abstract

The origin of the fractional quantum Hall effect (FQHE) at 4/11 and 5/13 has remained controversial. We make a compelling case that the FQHE is possible here for fully spin polarized composite fermions, but with an unconventional underlying physics. Thanks to a rather unusual interaction between composite fermions, the FQHE here results from the suppression of pairs with a relative angular momentum of three rather than one, confirming the exotic mechanism proposed by Wójs, Yi, and Quinn [Phys. Rev. B 69, 205322 (2004)]. We predict that the 4/11 state reported a decade ago by Pan et al. [Phys. Rev. Lett. 90, 016801 (2003)] is a conventional partially spin polarized FQHE of composite fermions, and we estimate the Zeeman energy where a phase transition into the unconventional fully spin polarized state will occur.

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  • Received 15 July 2013

DOI:https://doi.org/10.1103/PhysRevLett.112.016801

© 2014 American Physical Society

Erratum

Erratum: Enigmatic 4/11 State: A Prototype for Unconventional Fractional Quantum Hall Effect [Phys. Rev. Lett. 112, 016801 (2014)]

Sutirtha Mukherjee, Sudhansu S. Mandal, Ying-Hai Wu, Arkadiusz Wójs, and Jainendra K. Jain
Phys. Rev. Lett. 112, 199902 (2014)

Authors & Affiliations

Sutirtha Mukherjee1, Sudhansu S. Mandal1, Ying-Hai Wu2, Arkadiusz Wójs3, and Jainendra K. Jain2

  • 1Department of Theoretical Physics, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India
  • 2Department of Physics, 104 Davey Laboratory, Pennsylvania State University, University Park, Pennsylvania 16802, USA
  • 3Institute of Physics, Wroclaw University of Technology, 50-370 Wroclaw, Poland

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Issue

Vol. 112, Iss. 1 — 10 January 2014

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