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arXiv · 1104.0256

Effective Field Theory of Fractional Quantized Hall Nematics

Michael Mulligan·Chetan Nayak·Shamit Kachru
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Abstract

We present a Landau-Ginzburg theory for a fractional quantized Hall nematic state and the transition to it from an isotropic fractional quantum Hall state. This justifies Lifshitz-Chern-Simons theory -- which is shown to be its dual -- on a more microscopic basis and enables us to compute a ground state wave function in the symmetry-broken phase. In such a state of matter, the Hall resistance remains quantized while the longitudinal DC resistivity due to thermally-excited quasiparticles is anisotropic. We interpret recent experiments at Landau level filling factor \nu =7/3 in terms of our theory.

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Michael Mulligan, Chetan Nayak, Shamit Kachru. 2011-04-01. Effective Field Theory of Fractional Quantized Hall Nematics. https://doi.org/10.1103/physrevb.84.195124

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