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Published November 2011 | Submitted
Journal Article Open

Evidence for a fractionally quantized Hall state with anisotropic longitudinal transport

Abstract

At high magnetic fields, where the Fermi level lies in the N=0 lowest Landau level (LL), a clean two-dimensional electron system (2DES) shows numerous incompressible liquid phases which exhibit the fractional quantum Hall effect (FQHE; ref. 1). These liquid phases do not break rotational symmetry, exhibiting resistivities which are isotropic in the plane. In contrast, at lower fields, when the Fermi level lies in the N ≥ 2 third and several higher LLs, the 2DES exhibits a distinctly different class of collective states. In particular, near half-filling of these high LLs the 2DES exhibits a strongly anisotropic longitudinal resistance at low temperatures. These 'stripe' phases, which do not exhibit the quantized Hall effect, resemble nematic liquid crystals, possessing broken rotational symmetry and orientational order. Here we report a surprising new observation: an electronic configuration in the N=1 LL, the resistivity tensor of which simultaneously exhibits a robust fractionally quantized Hall plateau and a strongly anisotropic longitudinal resistance resembling that of the stripe phases.

Additional Information

© 2011 Macmillan Publishers Limited. Received 18 May 2011. Accepted 14 September 2011. Published online 23 October 2011. We are grateful to C. Nayak and S. Kivelson for useful discussions. This work was supported by Microsoft Project Q. The work at Princeton was partially funded by the Gordon and Betty Moore Foundation as well as the National Science Foundation MRSEC Program through the Princeton Center for Complex Materials (DMR-0819860). The authors declare no competing financial interests. Supplementary information accompanies this paper on www.nature.com/naturephysics. Author contributions: J.X. and J.P.E. conceived the project. L.N.P. and K.W.W. fabricated the samples. J.X. performed the experiment. J.X. and J.P.E. discussed the data and co-wrote the manuscript.

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