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<p>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.</p>

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Odd Viscosity and Anomalous Hall Effect in Two Dimensional Systems with Smooth Disorder

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月1日

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  • D. S. Zohrabyan,
  • M. M. Glazov

摘要

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.