- Editors' Suggestion
- Letter
Hall field and odd viscosity in near-hydrodynamic electron flows
Phys. Rev. B 111, L121107 – Published 20 March, 2025
DOI: https://doi.org/10.1103/PhysRevB.111.L121107
Abstract
In the presence of an applied magnetic field, the viscosity tensor of electron flows exhibits an off-diagonal component. This Hall or odd viscosity has recently been measured in high-mobility devices. It is known that use of the hydrodynamic theory to extract the Hall viscosity from Hall resistivity measurements strongly overestimates its value. We develop a general transport theory, using a matched asymptotic expansion of the kinetic equation in the near-hydrodynamic regime, and thereby investigate the origin of this discrepancy. This reveals that bulk, near-boundary and boundary condition corrections compete with the classical Hall (odd) viscosity. This finding reconciles the above-mentioned disparity and the transport theory we report provides a basis for future measurements.
