Turbulent hydrodynamics in strongly correlated Kagome metals

Abstract

A current challenge in condensed matter physics is the realization of strongly correlated, viscous electron fluids. These fluids are not amenable to the perturbative methods of Fermi liquid theory, but 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, which possesses Dirac dispersions at low energies as well as significant Coulomb interactions between the electrons. In this work, we show that Kagome systems with electron fillings adjusted to the Dirac nodes of their band structure 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 stoichiometric Scandium (Sc) Herbertsmithite, the fine-structure constant, which measures the effective Coulomb interaction and hence reflects the strength of the correlations, is enhanced by a factor of about 3.2 as compared to graphene, due to orbital hybridization. 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, for the first time, the turbulent flow regime described by holography within the reach of experiments.

4 pages plus supplement, 2 figures, 1 table

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Cited by in corpus (27)

• Topological kagome magnets and superconductors
• Nature of unconventional pairing in the kagome superconductors AV${}_3$Sb${}_5$
• Direct observation of vortices in an electron fluid
• Optical detection of charge-density-wave instability in the non-magnetic kagome metal KV${}_3$Sb${}_5$
• Hydrodynamic approach to two-dimensional electron systems
• Observation of current whirlpools in graphene at room temperature
• Flat band separation and robust spin-Berry curvature in bilayer kagome metals
• Chiral hydrodynamics in strong external magnetic fields
• Dynamics and Resilience of the Charge Density Wave in a bilayer kagome metal
• Kagome metals
• Para-hydrodynamics from weak surface scattering in ultraclean thin flakes
• Gibbons-Hawking-York boundary terms and the generalized geometrical trinity of gravity
• Emergent chiral spin ordering and anomalous Hall effect of kagome lattice at 1/3 filling
• Strong suppression of electron convection in Dirac and Weyl semimetals
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• Chiral symmetry breaking through spontaneous dimerization in kagomé metals
• Stray magnetic field and stability of time-dependent viscous electron flow
• Concurrence of topological electrons and magnons in the Kagome ferromagnet CoCu3(OH)6Cl2
• Novel semi-circle law and Hall sliding in a strongly interacting electron liquid
• Wiedemann-Franz law violation domain for graphene and nonrelativistic systems
• Graphene is neither Relativistic nor Non-Relativistic case: Thermodynamics Aspects
• Relativistic Wind Farm Effect: Possibly Turbulent Flow of a Charged, Massless Relativistic Fluid in Graphene
• Torsional Hall Viscosity of Massive Chern Insulators: Magnetic Field and Momentum Deformations