Kavli Affiliate: Mamoru Matsuo
| First 5 Authors: Danyu Shu, Danyu Shu, , ,
| Summary:
We develop a unified viscous hydrodynamics for charge and valley transport in
gapped graphene in the quantum Hall regime. We redefine Hall viscosity as a
response to static electric-field gradients instead of strain, establishing a
derivative hierarchy that fundamentally links it to nonlocal Hall conductivity.
The theory predicts quantized Hall viscosity for charge and valley, including a
ground-state contribution. Crucially, the valley current is unaffected by the
Lorentz force and is directly accessible via the local pressure, namely the
electrostatic potential that tracks fluid vorticity.
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