Nonconventional Odd-Denominator Fractional Quantum Hall States in the Second Landau Level

A. Kumar, G. A. Csáthy, M. J. Manfra, L. N. Pfeiffer, and K. W. West

Phys. Rev. Lett. 105, 246808 – Published 10 December 2010

Abstract

We report the observation of a new fractional quantum Hall state in the second Landau level of a two-dimensional electron gas at the Landau level filling factor $ν = 2 + 6 / 13$ . We find that the model of noninteracting composite fermions can explain the magnitude of gaps of the prominent $2 + 1 / 3$ and $2 + 2 / 3$ states. The same model fails, however, to account for the gaps of the $2 + 2 / 5$ and the newly observed $2 + 6 / 13$ states suggesting that these two states are of exotic origin.

Received 29 September 2010

DOI:https://doi.org/10.1103/PhysRevLett.105.246808

Authors & Affiliations

A. Kumar and G. A. Csáthy^*

Department of Physics, Purdue University, West Lafayette, Indiana 47907, USA

M. J. Manfra

Department of Physics, Birck Nanotechnology Center, School of Materials Engineering, and School of Electrical and Computer Engineering, Purdue University, West Lafayette, Indiana 47907, USA

L. N. Pfeiffer and K. W. West

Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA

^*gcsathy@purdue.edu

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Vol. 105, Iss. 24 — 10 December 2010

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