Superballistic conduction in hydrodynamic antidot graphene superlattices

Abstract

Viscous electron flow exhibits exotic signatures such as superballistic conduction. In order to observe hydrodynamics effects, a 2D device where the current flow is as inhomogeneous as possible is desirable. To this end, we build three antidot graphene superlattices with different hole diameters. We measure their electrical properties at various temperatures and under the effect of a perpendicular magnetic field. We find an enhanced superballistic effect, suggesting the effectiveness of the geometry at bending the electron flow. In addition, superballistic conduction, which is related to a transition from a non-collective to a collective regime of transport, behaves non-monotonically with the magnetic field. We also analyze the device resistance as a function of the size of the antidot superlattice to find characteristic scaling laws describing the different transport regimes. We prove that the antidot superlattice is a convenient geometry for realizing hydrodynamic flow and provide valuable explanations for the technologically relevant effects of superballistic conduction and scaling laws.

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Cited by in corpus (6)

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• Superballistic paradox in electron fluids: Evidence of tomographic transport
• Nonequilibrium Relaxation and Odd-Even Effect in Finite-Temperature Electron Gases
• Joule heating and electronic Gurzhi effect in hydrodynamic differential transport in an electron liquid
• Electron viscosity and device-dependent variability in four-probe electrical transport in ultra-clean graphene field-effect transistors