Odd viscosity and anomalous Hall effect in two dimensional electron systems with smooth disorder

2025/12/06 by Zohrabyan, D. S., Glazov, M. M.
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Organic and Molecular Conductors Research #Other Condensed Matter (cond-mat.other) #Quantum and electron transport phenomena

paper · doi:10.48550/arxiv.2512.06451

openalex publication_date 2025/12/06 · openalex created_date 2025/12/10 · openalex updated_date 2026/07/28

Abstract

A microscopic theory of odd viscosity in two-dimensional electron systems with smooth disorder and spin-orbit interaction is developed. It is shown that spin-orbit scattering in presence of spin polarization induced by magnetic field gives rise to an off-diagonal component of the viscosity tensor. Hydrodynamic equations for spin and electric currents are derived for electrons interacting with smooth disorder. The contribution of odd viscosity to the anomalous Hall effect is calculated.

Citations

• Hydrodynamic Coulomb drag in odd electron liquids
• An introduction to relativistic spin hydrodynamics
• Diffusive-hydrodynamic transition in the anomalous Hall effect
• Anomalous Hall effect in ultraclean electronic channels
• The odd ideal gas: Hall viscosity and thermal conductivity from non-Hermitian kinetic theory
• HYDRODYNAMIC EFFECTS IN SOLIDS AT LOW TEMPERATURE
• On a New Action of the Magnet on Electric Currents

Related

• Stokes flow in an electronic fluid with odd viscosity
• Anomalous Hall effect in ultraclean electronic channels
• Generalized Electron Hydrodynamics, Vorticity Coupling, and Hall Viscosity in Crystals
• Spin Current and Polarization in Impure Two-Dimensional Electron Systems with Spin-Orbit Coupling
• Spin Hall Effect in a Diffusive Rashba Two-dimensional Electron Gas