Abstract
We present a hydrodynamic theory to describe a chiral electron system with a Weyl spin-orbit interaction on a field-theoretic basis. Evaluating the momentum flux density as a linear response to a driving electric field, we derive an equation of motion for the orbital angular momentum. It is shown that the chiral nature leads to a dynamic bulk angular momentum generation by inducing a global torque as a response to the applied field. The steady state angular momentum is calculated taking account of rotational viscosity.
Highlights
Hydrodynamic theory is essential in describing fluids at macroscopic scales
Conventional fluids are characterized by viscosity, while relaxation force due to scattering by extrinsic scattering is important for electron fluids in disordered metals
The aim of this paper is to construct a hydrodynamic theory for describing chiral electron systems in solids on a field-theoretic basis
Summary
Hydrodynamic theory is essential in describing fluids at macroscopic scales. Conventional fluids are described by momentum flux tensor πi j symmetric with respect to the direction of momentum i and flow j [1]. Hydrodynamic theory is based on equations representing a continuity of densities of fluid, momentum, and energy at macroscopic scales. Even microscopic quantum objects such as electrons in conducting solids are treated as a fluid when viewed at macroscopic scales. The electron fluids are categorized into two regimes, a viscous regime and the Ohmic regime realized for v and v , respectively [10], where v and are characteristic length scales of viscosity and extrinsic scattering, respectively (Table I). Hydrodynamic theories of electron fluids in solids have been
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