Magnetic hallmarks of viscous electron flow in graphene

Abstract

We propose a protocol to identify spatial hallmarks of viscous electron flow in graphene and other two-dimensional viscous electron fluids. We predict that the profile of the magnetic field generated by hydrodynamic electron currents flowing in confined geometries displays unambiguous features linked to whirlpools and backflow near current injectors. We also show that the same profile sheds light on the nature of the boundary conditions describing friction exerted on the electron fluid by the edges of the sample. Our predictions are within reach of vector magnetometry based on nitrogen-vacancy centers embedded in a diamond slab mounted onto a graphene layer.

arXiv comment5 pages, 6 figures

References in corpus (19)

• High-sensitivity diamond magnetometer with nanoscale resolution
• Temperature dependence of the nitrogen-vacancy magnetic resonance in diamond
• Negative local resistance caused by viscous electron backflow in graphene
• Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
• Probing condensed matter physics with magnetometry based on nitrogen-vacancy centres in diamond
• Evidence for hydrodynamic electron flow in PdCoO${}_2$
• Superballistic flow of viscous electron fluid through graphene constrictions
• Hydrodynamics of electrons in graphene
• Electron Viscosity, Current Vortices and Negative Nonlocal Resistance in Graphene
• Quantum imaging of current flow in graphene
• Non-local transport and the hydrodynamic shear viscosity in graphene
• Vector magnetic field microscopy using nitrogen vacancy centers in diamond
• Fluidity Onset in Graphene
• Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
• Nanoscale imaging of current density with a single-spin magnetometer
• Electron hydrodynamics dilemma: whirlpools or no whirlpools
• Scanning Gate Microscopy in a Viscous Electron Fluid
• Nanoscale microwave imaging with a single electron spin in diamond
• Fourier optical processing enables new capabilities in diamond magnetic imaging

Cited by in corpus (10)

• Direct observation of vortices in an electron fluid
• Ballistic and hydrodynamic magnetotransport in narrow channels
• Observation of current whirlpools in graphene at room temperature
• Imaging graphene field-effect transistors on diamond using nitrogen-vacancy microscopy
• Imaging of sub-$\mu$A currents in bilayer graphene using a scanning diamond magnetometer
• Collinear scattering and long-lived excitations in two-dimensional electron fluids
• Nonlocal conductivity, continued fractions and current vortices in electron fluids
• Linear-in-temperature conductance in two-dimensional electron fluids
• Two-dimensional electron gases as non-Newtonian fluids
• Voltage characteristics of hydrodynamic Dirac electron nozzles with supersonic flow