Effective field theory of fractional quantized Hall nematics
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Mulligan-2011-Effective field theory of fractional quantized.pdf
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Author(s) • •
Mulligan, Michael
Nayak, Chetan
Kachru, Shamit
Date Issued
November 2011
Journal
Physical Review B
Publisher
American Physical Society (APS)
Citation
Mulligan, Michael, Chetan Nayak, and Shamit Kachru. “Effective Field Theory of Fractional Quantized Hall Nematics.” Physical Review B 84.19 (2011): n. pag. Web. 2 Mar. 2012. © 2011 American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.84.195124