Hall viscosity effect on edge magneto-plasmons in 2D electron fluid

  Roie Cohen  ,  Moshe Goldstein  
Tel Aviv University

When time-reversal symmetry is broken (e.g., by a magnetic field), the viscosity tensor of a fluid will contain antisymmetric Hall-like components, in addition to the standard shear and bulk viscosities. For a gapped quantum fluid, such as the electron liquid in the quantum Hall regime, the Hall viscosity is predicted to be quantized, and to encode topological information beyond that provided by the Hall conductivity; For example, knowing its values could help one decide between different models for the quantum Hall effect at fillings such as 5/2. In this work we study the effect of the Hall viscosity on the dispersion relation of the edge magneto-plasmons in a 2D electron fluid, which, upon quantization, become the quantum Hall edge modes. Interestingly we find that viscosity affects the dispersion already to the linear order in the wavevector (i.e., the velocity), an effect which could be utilized for the experimental measurement of the Hall visocisty.