Effective Field Theory of Fractional Quantized Hall Nematics

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 ν=7/3 in terms of our theory.

4 pages + refs; v.2 contains a new appendix and discussion of Kohn's theorem

References in corpus (2)

• Tilt-Induced Anisotropic to Isotropic Phase Transition at $\nu =5/2$
• Nematic Valley Ordering in Quantum Hall Systems

Cited by in corpus (41)

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