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Hydrodynamic transport and violation of the viscosity-to-entropy ratio bound in nodal-line semimetals

Sang Wook Kim, Geo Jose, and Bruno Uchoa

  • Center for Quantum Research and Technology, Department of Physics and Astronomy, University of Oklahoma, Norman, Oklahoma 73019, USA

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Phys. Rev. Research 3, 033003 – Published 2 July, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.033003

Abstract

The ratio between the shear viscosity and the entropy η/s is considered a universal measure of the strength of interactions in quantum systems. This quantity was conjectured to have a universal lower bound (1/4π)ℏ/kB, which indicates a very strongly correlated quantum fluid. By solving the quantum kinetic theory for a nodal-line semimetal in the hydrodynamic regime, we show that η/s∝T violates the universal lower bound, scaling toward zero with decreasing temperature T in the perturbative limit. We find that the hydrodynamic scattering time between collisions is nearly temperature independent, up to logarithmic scaling corrections, and can be extremely short for large nodal lines, near the Mott-Ragel-Ioffe limit. Our finding suggests that nodal-line semimetals can be very strongly correlated quantum systems.

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Phys. Rev. Research 3, 033003– Published 2 July, 2021
  • Received 10 September 2020
  • Accepted 5 May 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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