Non-monotonic temperature dependence of electron viscosity and crossover to high-temperature universal viscous fluid in monolayer and bilayer graphene

Abstract

Electrons in quantum matter behave like a fluid when the quantum-mechanical carrier-carrier scattering dominates over other relaxation mechanisms. By combining a microscopic treatment of electron-electron interactions within the random phase approximation with a phenomenological Navier-Stokes like equation, we predict that in the limit of high temperature and strong Coulomb interactions, both monolayer and bilayer graphene exhibit a universal behavior in dynamic viscosity. We find that the dynamic viscosity to entropy density ratio for bilayer graphene is closer to the holographic bound suggesting that such a bound might be observable in a condensed matter system. We discuss how this could be observed experimentally using a magnetoconductance measurements in a Corbino geometry for a realistic range of temperature and carrier density.

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Cited by in corpus (2)

• Universality in quantum critical flow of charge and heat in ultra-clean graphene
• Electron viscosity and device-dependent variability in four-probe electrical transport in ultra-clean graphene field-effect transistors