Charge and Valley Hydrodynamics in the Quantum Hall Regime of Gapped Graphene

2025/10/01 by Shu, Danyu, Hiroshi Funaki, Funaki, Hiroshi +6
Computer Science · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Computing Algorithms and Architecture #Quantum and electron transport phenomena

paper · pdf · doi:10.48550/arxiv.2510.00760

openalex publication_date 2025/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Magic of nonlocal geometric force: lighting up optical transition and transporting angular momentum by chiral phonons
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• On the completeness of a system of coherent states
• HYDRODYNAMIC EFFECTS IN SOLIDS AT LOW TEMPERATURE
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Related

• Valley hydrodynamics in gapped graphene
• Anomalous viscosity of vortex hall states in graphene
• Semiclassical theory of viscosity in quantum Hall states
• Quantizing momentum transport in bilayer graphene
• Hydrodynamic approach to two-dimensional electron systems