Current distribution in a slit connecting two graphene half-planes

Abstract

We investigate the joint effect of viscous and Ohmic dissipation on electric current flow through a slit in a barrier dividing a graphene sheet in two. In the case of the no-slip boundary condition, we find that the competition between the viscous and Ohmic types of the charge flow results in the evolution of the current density profile from a concave to convex shape. We provide a detailed analysis of the evolution and identify favorable conditions to observe it in experiment. In contrast, in the case of the no-stress boundary condition, there is no qualitative difference between the current profiles in the Ohmic and viscous limits. The dichotomy between the behavior corresponding to distinct boundary conditions could be tested experimentally.

arXiv commentv1. 11 pages, 3 figures. Corresponds to published version

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Cited by in corpus (10)

• Hydrodynamic approach to two-dimensional electron systems
• Imaging the breaking of electrostatic dams in graphene for ballistic and viscous fluids
• Anti-Poiseuille flow in neutral graphene
• Conformal maps of viscous electron flow in the Gurzhi crossover
• Corbino magnetoresistance in neutral graphene
• Fingerprints of quantum criticality in locally resolved transport
• Giant magnetoresistance in weakly disordered non-Galilean invariant conductors
• Viscous flow through a finite-width slit: Boundary conditions and dissipation
• Slip electron flow in GaAs microscale constrictions
• Distinguishing viscous, ballistic, and diffusive current flows in anisotropic metals