arXiv · 2312.09701
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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Indra Yudhistira, Ramal Afrose, Shaffique Adam. 2023-12-15. Non-monotonic temperature dependence of electron viscosity and crossover to high-temperature universal viscous fluid in monolayer and bilayer graphene. https://doi.org/10.1103/physrevb.111.085433
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