Effective Field Theory of Fractional Quantized Hall Nematics
Strongly Correlated Electrons
2013-05-29 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1104.0256,
title = {Effective Field Theory of Fractional Quantized Hall Nematics},
author = {Michael Mulligan and Chetan Nayak and Shamit Kachru},
journal= {arXiv preprint arXiv:1104.0256},
year = {2013}
}
Comments
4 pages + refs; v.2 contains a new appendix and discussion of Kohn's theorem