Anomalous Hydrodynamic Flow in Interacting Noncentrosymmetric Metals

In highly conductive metals with sufficiently strong momentum conserving scattering, the
electron momentum is regarded as a long lived quantity whose dynamics is described by an
emergent hydrodynamic theory. In this work [1], we propose a hydrodynamic theory for
noncentrosymmetric metals, where a novel class of electron fluids is realized by lowering
crystal symmetries and the resulting geometrical effects. Starting from the Boltzmann
equation, we elucidate the effects of the Berry curvature to electron hydrodynamics and
formulate a hydrodynamic theory for noncentrosymmetric metals. We show that this
equation reveals a variety of novel anomalous nonlocal or nolinear transport phenomena; chiral
vortical effect, quantum nonlinear Hall effect, thermal gradient induced anomalous Hall effect,
etc., whose transport coefficients are described by several geometrical quantities.
Furthermore, we give a symmetry classification of these coefficients and
compare the results with existing hydrodynamic materials. In the presentation, we would like
to discuss what phenomena are predicted to be observed in experiments in the hydrodynamic regime
realized in noncentrosymmetric materials, including bilayer graphene and TMDs.

[1] R. Toshio, K. Takasan and N. Kawakami, Phys. Rev. Research 2, 032021(R).