Impact of nematic fluctuations on the Hall viscosity of electronic fluids

Electronic nematic order and fluctuations are of great importance to a wide class of correlated electronic materials, such as unconventional superconductors, doped topological insulators, and twisted moiré systems. Because of the intertwining between nematicity and elasticity, the manifestations of nematic fluctuations on elastic properties of the lattice, such as the shear modulus, have been widely investigated. In this talk, we explore the impact of nematic fluctuations on the elastic properties of the electronic fluid itself. In particular, we focus on the Hall viscosity coefficient, which is the electronic counterpart of the dissipationless generation of stress by a time-varying strain in the presence of time-reversal symmetry-breaking. We consider the case of Dirac materials, which is a model electronic fluid, and compute the contribution to the Hall viscosity arising from electronic nematicity, highlighting the role played by dynamic nematic fluctuations.