Negative viscosity and eddy flow of the imbalanced electron-hole liquid in graphene

  title={Negative viscosity and eddy flow of the imbalanced electron-hole liquid in graphene},
  author={Hong-Yi Xie and Alexander Alexeevich Levchenko},
  journal={Physical Review B},
We present a hydrodynamic theory for electron-hole magnetotransport in graphene incorporating carrier-population imbalance, energy, and momentum relaxation processes. We focus on the electric response and find that the carrier and energy imbalance relaxation processes strongly modify the shear viscosity, so that an effective viscosity can be negative in the vicinity of charge neutrality. We predict an emergent eddy flow pattern of swirling currents and explore its manifestation in nonlocal… 

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