Effective Field Theory of Fractional Quantized Hall Nematics

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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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5 pages

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Mulligan, Michael; /MIT, LNS; Nayak, Chetan; /Station Q, UCSB; Kachru, Shamit & /Stanford U., Phys. Dept. /SLAC June 6, 2012.

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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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5 pages

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  • Journal Name: Phys.Rev.B84:195124,2011; Journal Volume: 84; Journal Issue: 19

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  • Report No.: SLAC-PUB-15064
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 1042668
  • Archival Resource Key: ark:/67531/metadc843679

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  • June 6, 2012

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  • May 19, 2016, 3:16 p.m.

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  • June 20, 2016, 7:11 p.m.

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Mulligan, Michael; /MIT, LNS; Nayak, Chetan; /Station Q, UCSB; Kachru, Shamit & /Stanford U., Phys. Dept. /SLAC. Effective Field Theory of Fractional Quantized Hall Nematics, article, June 6, 2012; United States. (https://digital.library.unt.edu/ark:/67531/metadc843679/: accessed April 25, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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