Resistivity anisotropy of quantum Hall stripe phases

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Resistivity anisotropy of quantum Hall stripe phases

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

Phys. Rev. B 100, 241303(R) – Published 20 December 2019

Abstract

Quantum Hall stripe phases near half-integer filling factors $ν \geq 9 / 2$ 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.

Received 3 October 2019

DOI:https://doi.org/10.1103/PhysRevB.100.241303

Physics Subject Headings (PhySH)

Electrical conductivity Landau levels Quantum Hall effect

Two-dimensional electron gas

Hartree-Fock methods

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

M. Sammon^1,*, X. Fu¹, Yi Huang (黄奕)¹, M. A. Zudov¹, B. I. Shklovskii¹, G. C. Gardner^2,3, J. D. Watson^3,4,†, M. J. Manfra^2,3,4,5, K. W. Baldwin⁶, L. N. Pfeiffer⁶, and K. W. West⁶

¹School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA
²Microsoft Quantum Lab Purdue, Purdue University, West Lafayette, Indiana 47907, USA
³Birck Nanotechnology Center, Purdue University, West Lafayette, Indiana 47907, USA
⁴Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA
⁵School of Electrical and Computer Engineering and School of Materials Engineering, Purdue University, West Lafayette, Indiana 47907, USA
⁶Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA

^*Corresponding author: sammo017@umn.edu
^†Present address: Microsoft Station-Q at Delft University of Technology, 2600 GA Delft, The Netherlands.

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Issue

Vol. 100, Iss. 24 — 15 December 2019

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