Turbulent hydrodynamics in strongly correlated Kagome metals

Domenico Sante, Johanna Erdmenger, Martin Greiter, Ioannis Matthaiakakis, René Meyer, David Rodríguez Fernández, Ronny Thomale (), Erik Loon and Tim Wehling
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Domenico Sante: Julius-Maximilians-Universität Würzburg
Johanna Erdmenger: Julius-Maximilians-Universität Würzburg
Martin Greiter: Julius-Maximilians-Universität Würzburg
Ioannis Matthaiakakis: Julius-Maximilians-Universität Würzburg
René Meyer: Julius-Maximilians-Universität Würzburg
David Rodríguez Fernández: Julius-Maximilians-Universität Würzburg
Ronny Thomale: Julius-Maximilians-Universität Würzburg
Erik Loon: Universität Bremen
Tim Wehling: Universität Bremen

Nature Communications, 2020, vol. 11, issue 1, 1-7

Abstract: Abstract A current challenge in condensed matter physics is the realization of strongly correlated, viscous electron fluids. These fluids can be described by holography, that is, by mapping them onto a weakly curved gravitational theory via gauge/gravity duality. The canonical system considered for realizations has been graphene. In this work, we show that Kagome systems with electron fillings adjusted to the Dirac nodes provide a much more compelling platform for realizations of viscous electron fluids, including non-linear effects such as turbulence. In particular, we find that in Scandium Herbertsmithite, the fine-structure constant, which measures the effective Coulomb interaction, is enhanced by a factor of about 3.2 as compared to graphene. We employ holography to estimate the ratio of the shear viscosity over the entropy density in Sc-Herbertsmithite, and find it about three times smaller than in graphene. These findings put the turbulent flow regime described by holography within the reach of experiments.

Date: 2020
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DOI: 10.1038/s41467-020-17663-x

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