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Title: Resistivity anisotropy of quantum Hall stripe phases

Abstract

Quantum Hall stripe phases near half-integer filling factors $$\nu$$ $$\geqslant$$ 9/2 were predicted by Hartree-Fock (HF) theory and confirmed by discoveries of giant resistance anisotropies in high-mobility two dimensional electron gases. A theory of such anisotropy was proposed by MacDonald and Fisher, although they used parameters whose dependencies on the filling factor, electron density, and mobility remained unspecified. Here, we fill this void by calculating the hard-to-easy resistivity ratio as a function of these three variables. Quantitative comparison with experiment yields very good agreement, which we view as evidence for the “plain vanilla” smectic stripe HF phases

Authors:
 [1];  [1];  [1];  [1];  [1];  [2];  [2];  [2];  [3];  [3];  [3]
  1. Univ. of Minnesota, Minneapolis, MN (United States)
  2. Purdue Univ., West Lafayette, IN (United States)
  3. Princeton Univ., NJ (United States)
Publication Date:
Research Org.:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1594802
Grant/Contract Number:  
SC0006671; 46640-SC0002567; DMR-1420013; DMR-1420541; DMR-1157490; DMR-1644779
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 100; Journal Issue: 24; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Electrical conductivity; Landau levels; Quantum Hall effect; Two-dimensional electron gas; Hartree-Fock methods

Citation Formats

Sammon, Michael, Fu, Xiaojun, Huang, Yi, Zudov, Michael, Shklovskii, Boris, Gardner, Geoff, Watson, John, Manfra, Michael, Baldwin, Kirk, Pfeiffer, Loren, and West, Ken. Resistivity anisotropy of quantum Hall stripe phases. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.100.241303.
Sammon, Michael, Fu, Xiaojun, Huang, Yi, Zudov, Michael, Shklovskii, Boris, Gardner, Geoff, Watson, John, Manfra, Michael, Baldwin, Kirk, Pfeiffer, Loren, & West, Ken. Resistivity anisotropy of quantum Hall stripe phases. United States. doi:10.1103/PhysRevB.100.241303.
Sammon, Michael, Fu, Xiaojun, Huang, Yi, Zudov, Michael, Shklovskii, Boris, Gardner, Geoff, Watson, John, Manfra, Michael, Baldwin, Kirk, Pfeiffer, Loren, and West, Ken. Fri . "Resistivity anisotropy of quantum Hall stripe phases". United States. doi:10.1103/PhysRevB.100.241303.
@article{osti_1594802,
title = {Resistivity anisotropy of quantum Hall stripe phases},
author = {Sammon, Michael and Fu, Xiaojun and Huang, Yi and Zudov, Michael and Shklovskii, Boris and Gardner, Geoff and Watson, John and Manfra, Michael and Baldwin, Kirk and Pfeiffer, Loren and West, Ken},
abstractNote = {Quantum Hall stripe phases near half-integer filling factors $\nu$ $\geqslant$ 9/2 were predicted by Hartree-Fock (HF) theory and confirmed by discoveries of giant resistance anisotropies in high-mobility two dimensional electron gases. A theory of such anisotropy was proposed by MacDonald and Fisher, although they used parameters whose dependencies on the filling factor, electron density, and mobility remained unspecified. Here, we fill this void by calculating the hard-to-easy resistivity ratio as a function of these three variables. Quantitative comparison with experiment yields very good agreement, which we view as evidence for the “plain vanilla” smectic stripe HF phases},
doi = {10.1103/PhysRevB.100.241303},
journal = {Physical Review B},
number = 24,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}

Journal Article:
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Works referenced in this record:

Cyclotron-Resonance Harmonics in the ac Response of a 2D Electron Gas with Smooth Disorder
journal, November 2003


Conductivity Tensor of Striped Quantum Hall Phases
journal, March 2000


Nematic Phase of the Two-Dimensional Electron Gas in a Magnetic Field
journal, February 2000

  • Fradkin, Eduardo; Kivelson, Steven A.; Manousakis, Efstratios
  • Physical Review Letters, Vol. 84, Issue 9
  • DOI: 10.1103/PhysRevLett.84.1982

Surface segregation and the Al problem in GaAs quantum wells
journal, March 2018


Disclination unbinding transition in quantum Hall liquid crystals
journal, August 2001


Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
journal, January 1999


Ground state of a two-dimensional electron liquid in a weak magnetic field
journal, July 1996


Possible nematic to smectic phase transition in a two-dimensional electron gas at half-filling
journal, November 2017


Exact results for interacting electrons in high Landau levels
journal, August 1996


Quantum theory of quantum Hall smectics
journal, February 2000


Liquid-crystal phases of quantum Hall systems
journal, March 1999


Strongly anisotropic transport in higher two-dimensional Landau levels
journal, January 1999


New collective states of 2D electrons in high Landau levels
journal, January 2001

  • Eisenstein, J. P.; Lilly, M. P.; Cooper, K. B.
  • Physica E: Low-dimensional Systems and Nanostructures, Vol. 9, Issue 1
  • DOI: 10.1016/S1386-9477(00)00170-3

Charge-Density-Wave Ordering in Half-Filled High Landau Levels
journal, August 1999


Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field
journal, January 1996


Comment on “Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels”
journal, November 1999


Mobility and quantum mobility of modern GaAs/AlGaAs heterostructures
journal, June 2018