Graphene on Platinum Surfaces Seemingly Defies Coulomb’s Law

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codeimg 8 - Surprising Discovery: Graphene on Platinum Surfaces Seemingly Defies Coulomb’s Law

Surprisingly, the friction between the tip of an atomic pressure microscope and the Moiré superstructures is dependent upon the pace at which the tip is moved throughout the floor. Credit score: Division of Physics, College of Basel and Scixel

Researchers from Basel and Tel Aviv found that friction varies with pace in particular graphene structures on platinum surfaces, defying Coulomb’s law which states that friction is speed-independent in the macro world.

Materials made of single atomic layers are highly valued for their low-friction qualities, useful in reducing friction in hard disks or moving parts of satellites or space telescopes. Graphene, consisting of a single layer of carbon atoms arranged like a honeycomb, is a prime example and is under examination for its potential as a lubricating layer. Earlier studies showed that a graphene ribbon can glide almost friction-free across a gold surface.

Surprising results with a rough surface

If graphene is applied to a platinum surface, it has a significant impact on the measurable friction forces. Now, physicists from the University of Basel and Tel Aviv University have reported in the journal Nano Letters that, in this instance, the friction depends on the speed at which the tip of an atomic force microscope (AFM; see box) is moved across the surface. This finding is surprising because friction does not depend on speed according to Coulomb’s law, which applies in the macro world.

In conjunction with the platinum substrate, graphene no longer forms only the hexagonal honeycomb pattern of carbon atoms and instead forms superstructures known as Moiré superlattices. The surface is then no longer completely flat and exhibits a certain degree of roughness.

“If we move the AFM tip across this slightly corrugated surface at low speed, we measure a weak and almost constant frictional force,” explains Professor Ernst Meyer from the Swiss Nanoscience Institute and the Department of Physics at Basel University. “Above a certain threshold, however, the friction then increases with the speed of the AFM tip,” adds first author Dr. Yiming Song. “The larger the Moiré superstructure, the lower the threshold at which the friction becomes speed-dependent.”


The researchers found that there is greater resistance at the ridges of the Moiré superstructures during the movement of the tip. These ridges undergo elastic deformation due to the pushing tip before relaxing again when the pressure is sufficiently high. This effect results in greater frictional forces that increase with the speed of the tip. Simulations and an analytical model confirm the experimental findings obtained by this international team of researchers.

Reference: “Velocity Dependence of Moiré Friction” by Yiming Song, Xiang Gao, Antoine Hinaut, Sebastian Scherb, Shuyu Huang, Thilo Glatzel, Oded Hod, Michael Urbakh and Ernst Meyer, 30 November 2022, Nano Letters.
DOI: 10.1021/acs.nanolett.2c03667

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