Abstract
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 paper, we develop an electron hydrodynamic theory for noncentrosymmetric metals, where a novel class of electron fluids is realized by lowering crystal symmetries and the resulting geometrical effects. The obtained hydrodynamic equation suggests a nontrivial analogy between electron fluids in noncentrosymmetric metals and chiral fluids in vacuum, and predicts novel hydrodynamic transport phenomena, that is, asymmetric Poiseuille flow and anomalous edge current. Our theory also gives a hydrodynamic description of the counterpart of various anomalous transport phenomena such as the quantum nonlinear Hall effect. Furthermore, we give a symmetry consideration on the hydrodynamic equation and propose several experimental setups to realize such anomalous hydrodynamic transport in the existing hydrodynamic materials, including bilayer graphene and Weyl semimetals.
Highlights
How to understand electron dynamics in crystals has been a fascinating problem in condensed matter physics
The linear one is so-called Drude conductivity, and the nonlinear one agrees with the results of the quantum nonlinear Hall effect (QNHE) [28]
Under TRS, the QNHE gives a leading anomalous current, which has already been observed in several materials including hydrodynamic materials such as GaAs quantum well [38,39,40] and ANOMALOUS HYDRODYNAMIC TRANSPORT IN
Summary
Anomalous hydrodynamic transport in interacting noncentrosymmetric metals Riki Toshio ,1,* Kazuaki Takasan, and Norio Kawakami1 1Department of Physics, Kyoto University, Kyoto 606-8502, Japan 2Department of Physics, University of California, Berkeley, California 94720, USA (Received 19 March 2020; accepted 24 June 2020; published 20 July 2020). We develop an electron hydrodynamic theory for noncentrosymmetric metals, where a novel class of electron fluids is realized by lowering crystal symmetries and the resulting geometrical effects. The obtained hydrodynamic equation suggests a nontrivial analogy between electron fluids in noncentrosymmetric metals and chiral fluids in vacuum, and predicts novel hydrodynamic transport phenomena, that is, asymmetric Poiseuille flow and anomalous edge current. Our theory gives a hydrodynamic description of the counterpart of various anomalous transport phenomena such as the quantum nonlinear Hall effect. We give a symmetry consideration on the hydrodynamic equation and propose several experimental setups to realize such anomalous hydrodynamic transport in the existing hydrodynamic materials, including bilayer graphene and Weyl semimetals
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