  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.
