English

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