Hydrodynamic Anomalous Transport in Interacting Noncentrosymmetric Metals

In high-conductive metals with sufficiently strong momentum-conserving scattering, the electron momentum is regarded as a long-lived quantity, whose dynamics can be described by an emergent hydrodynamic theory. In this work, 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 introduce the effects of the Berry curvature to electron hydrodynamics and formulate a generalized Euler equation for noncentrosymmetric metals. We show that this equation reveals a variety of novel anomalous nonlocal/nonlinear transport phenomena; chiral vortical effect, quantum nonlinear Hall effect, thermal-gradient induced anomalous Hall effect, etc., whose transport coefficients are described by geometrical quantities such as Berry curvature dipole [1]. 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 noncentrosymmetric materials, including bilayer-graphene and transition metal dichalcogenides.

[1] I. Sodemann and L. Fu, PRL 115, 216806 (2015)