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Transport Signatures of the Hall Viscosity

Luca V. Delacrétaz and Andrey Gromov
Phys. Rev. Lett. 119, 226602 – Published 30 November 2017
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Abstract

Hall viscosity is a nondissipative response function describing momentum transport in two-dimensional systems with broken parity. It is quantized in the quantum Hall regime, and contains information about the topological order of the quantum Hall state. Hall viscosity can distinguish different quantum Hall states with identical Hall conductances, but different topological order. To date, an experimentally accessible signature of Hall viscosity is lacking. We exploit the fact that Hall viscosity contributes to charge transport at finite wavelengths, and can therefore be extracted from nonlocal resistance measurements in inhomogeneous charge flows. We explain how to determine the Hall viscosity from such a transport experiment. In particular, we show that the profile of the electrochemical potential close to contacts where current is injected is sensitive to the value of the Hall viscosity.

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  • Received 13 July 2017
  • Corrected 8 February 2018

DOI:https://doi.org/10.1103/PhysRevLett.119.226602

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Corrections

8 February 2018

Authors & Affiliations

Luca V. Delacrétaz1 and Andrey Gromov2

  • 1Department of Physics, Stanford University, Stanford, California 94305-4060, USA
  • 2Kadanoff Center for Theoretical Physics and Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637, USA

See Also

Publisher’s Note: Transport Signatures of the Hall Viscosity [Phys. Rev. Lett. 119, 226602 (2017)]

Luca V. Delacrétaz and Andrey Gromov
Phys. Rev. Lett. 120, 079901 (2018)

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Issue

Vol. 119, Iss. 22 — 1 December 2017

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