Resistivity anisotropy of quantum Hall stripe phases

M. Sammon; X. Fu; Yi Huang; M. A. Zudov; B. I. Shklovskii; G. C. Gardner; J. D. Watson; M. J. Manfra; K. W. Baldwin; L. N. Pfeiffer; K. W. West

doi:10.1103/PhysRevB.100.241303

Resistivity anisotropy of quantum Hall stripe phases

M. Sammon, X. Fu, Yi Huang, M. A. Zudov, B. I. Shklovskii, G. C. Gardner, J. D. Watson, M. J. Manfra, K. W. Baldwin, L. N. Pfeiffer, K. W. West

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Abstract

Quantum Hall stripe phases near half-integer filling factors ν≥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.

Original language	English (US)
Article number	241303
Journal	Physical Review B
Volume	10
Issue number	24
DOIs	https://doi.org/10.1103/PhysRevB.100.241303
State	Published - Dec 20 2019

Bibliographical note

Funding Information:
We thank I. Dmitriev and M. Fogler for discussions, and G. Jones, T. Murphy, and A. Bangura for technical support. Calculations by M.S. and Y.H. were supported primarily by the NSF through the University of Minnesota MRSEC under Award No. DMR-1420013. Experiments by X.F. and M.Z. were supported by the US Department of Energy, Office of Science, Basic Energy Sciences, under Award No. ER 46640-SC0002567. Growth of GaAs/AlGaAs quantum wells at Purdue University was supported by the US Department of Energy, Office of Science, Basic Energy Sciences, under Award No. DE-SC0006671. Growth of GaAs/AlGaAs quantum wells at Princeton University was supported by the Gordon and Betty Moore Foundation Grant No. GBMF 4420, and by the National Science Foundation MRSEC Grant No. DMR-1420541. A portion of this work was performed at the National High Magnetic Field Laboratory, which is supported by National Science Foundation Cooperative Agreements No. DMR-1157490 and No. DMR-1644779, and the State of Florida.

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© 2019 American Physical Society.

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title = "Resistivity anisotropy of quantum Hall stripe phases",

abstract = "Quantum Hall stripe phases near half-integer filling factors ν≥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.",

author = "M. Sammon and X. Fu and Yi Huang and Zudov, {M. A.} and Shklovskii, {B. I.} and Gardner, {G. C.} and Watson, {J. D.} and Manfra, {M. J.} and Baldwin, {K. W.} and Pfeiffer, {L. N.} and West, {K. W.}",

note = "Funding Information: We thank I. Dmitriev and M. Fogler for discussions, and G. Jones, T. Murphy, and A. Bangura for technical support. Calculations by M.S. and Y.H. were supported primarily by the NSF through the University of Minnesota MRSEC under Award No. DMR-1420013. Experiments by X.F. and M.Z. were supported by the US Department of Energy, Office of Science, Basic Energy Sciences, under Award No. ER 46640-SC0002567. Growth of GaAs/AlGaAs quantum wells at Purdue University was supported by the US Department of Energy, Office of Science, Basic Energy Sciences, under Award No. DE-SC0006671. Growth of GaAs/AlGaAs quantum wells at Princeton University was supported by the Gordon and Betty Moore Foundation Grant No. GBMF 4420, and by the National Science Foundation MRSEC Grant No. DMR-1420541. A portion of this work was performed at the National High Magnetic Field Laboratory, which is supported by National Science Foundation Cooperative Agreements No. DMR-1157490 and No. DMR-1644779, and the State of Florida. Publisher Copyright: {\textcopyright} 2019 American Physical Society.",

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doi = "10.1103/PhysRevB.100.241303",

language = "English (US)",

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AU - Sammon, M.

AU - Fu, X.

AU - Huang, Yi

AU - Zudov, M. A.

AU - Shklovskii, B. I.

AU - Gardner, G. C.

AU - Watson, J. D.

AU - Manfra, M. J.

AU - Baldwin, K. W.

AU - Pfeiffer, L. N.

AU - West, K. W.

N1 - Funding Information: We thank I. Dmitriev and M. Fogler for discussions, and G. Jones, T. Murphy, and A. Bangura for technical support. Calculations by M.S. and Y.H. were supported primarily by the NSF through the University of Minnesota MRSEC under Award No. DMR-1420013. Experiments by X.F. and M.Z. were supported by the US Department of Energy, Office of Science, Basic Energy Sciences, under Award No. ER 46640-SC0002567. Growth of GaAs/AlGaAs quantum wells at Purdue University was supported by the US Department of Energy, Office of Science, Basic Energy Sciences, under Award No. DE-SC0006671. Growth of GaAs/AlGaAs quantum wells at Princeton University was supported by the Gordon and Betty Moore Foundation Grant No. GBMF 4420, and by the National Science Foundation MRSEC Grant No. DMR-1420541. A portion of this work was performed at the National High Magnetic Field Laboratory, which is supported by National Science Foundation Cooperative Agreements No. DMR-1157490 and No. DMR-1644779, and the State of Florida. Publisher Copyright: © 2019 American Physical Society.

PY - 2019/12/20

Y1 - 2019/12/20

N2 - Quantum Hall stripe phases near half-integer filling factors ν≥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.

AB - Quantum Hall stripe phases near half-integer filling factors ν≥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.

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Resistivity anisotropy of quantum Hall stripe phases

Abstract

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Resistivity anisotropy of quantum Hall stripe phases

Abstract

Bibliographical note

MRSEC Support

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MRSEC IRG-2: Sustainable Nanocrystal Materials

University of Minnesota MRSEC (DMR-1420013)

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