skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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 {nu} = 7/3 in terms of our theory.

Authors:
; ; ; ; ;
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1042668
Report Number(s):
SLAC-PUB-15064
arXiv:1104.0256; TRN: US201212%%872
DOE Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article
Journal Name:
Phys.Rev.B84:195124,2011
Additional Journal Information:
Journal Volume: 84; Journal Issue: 19
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; GROUND STATES; WAVE FUNCTIONS; GINZBURG-LANDAU THEORY; General Physics, Theory-HEP,HEPTH, MATSCI

Citation Formats

Mulligan, Michael, /MIT, LNS, Nayak, Chetan, /Station Q, UCSB, Kachru, Shamit, and /Stanford U., Phys. Dept. /SLAC. Effective Field Theory of Fractional Quantized Hall Nematics. United States: N. p., 2012. Web.
Mulligan, Michael, /MIT, LNS, Nayak, Chetan, /Station Q, UCSB, Kachru, Shamit, & /Stanford U., Phys. Dept. /SLAC. Effective Field Theory of Fractional Quantized Hall Nematics. United States.
Mulligan, Michael, /MIT, LNS, Nayak, Chetan, /Station Q, UCSB, Kachru, Shamit, and /Stanford U., Phys. Dept. /SLAC. Wed . "Effective Field Theory of Fractional Quantized Hall Nematics". United States. https://www.osti.gov/servlets/purl/1042668.
@article{osti_1042668,
title = {Effective Field Theory of Fractional Quantized Hall Nematics},
author = {Mulligan, Michael and /MIT, LNS and Nayak, Chetan and /Station Q, UCSB and Kachru, Shamit and /Stanford U., Phys. Dept. /SLAC},
abstractNote = {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.},
doi = {},
journal = {Phys.Rev.B84:195124,2011},
number = 19,
volume = 84,
place = {United States},
year = {2012},
month = {6}
}