What is it about?

Diffusion is one of the best studied paradigms of transport, describing the motion of Brownian random walkers, the spreading of heat in metals, and electric charge transport in Graphene. In ultra-clean Graphene there are ballistic "sound" waves that carry energy in addition to the diffusive electric charge. We study the consequences of such ballistic tranport on the transport of electric charge, finding stark differences with conventional diffusion.

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Why is it important?

We show that the charge diffusion observed in Graphene is in fact unconventional in quasi-one-dimensional settings such as nanotubes and nanoribbons, displaying anomalous fluctuations that are hidden from simple observables such as mean-transport measurements. This establishes fluctuations as a new paradigm of universal physics in chaotic systems, and allows us to propose fluctuation measurements as a novel signature of the ellusive Dirac fluid behaviour in Graphene-like semimetals.

Perspectives

From Moire physics and superconductivity to tensile strength, few materials have been as intensely scrutinized and researched as Graphene. Being able to say something new about this incredible material and other Dirac semimetals was a great pleasure. This article shows the usefulness of effective descriptions like hydrodynamics, which so often provide a short-cut to emergent many-body phenomena.

Ewan McCulloch
Princeton University

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This page is a summary of: Non-Gaussian diffusive fluctuations in Dirac fluids, Proceedings of the National Academy of Sciences, December 2024, Proceedings of the National Academy of Sciences,
DOI: 10.1073/pnas.2403327121.
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