How Chaos in Graphene Creates Superconductivity ✛ ✦

Original: "Disorder-induced superconductivity in graphene"
arXiv:2607.02267 · 2026-07-02 · CC BY 4.0 · 1 min
Defects in the atomic lattice make graphene superconducting even with very weak electron attraction.

Graphene, a sheet of carbon one atom thick, is a dance floor full of bumps, where electrons can't move in sync. Superconductivity requires them to pair up and flow together, but the uneven terrain gets in the way. The theory was laid by Bardeen, while the unusual behavior of electrons was described by Dirac and Landau.

Remove a few atoms and atomic steps appear, where electrons cluster with the same energy. These islands are like quantum stages: even weak attraction forces electrons to pair up, and their synchronous dance spreads across the whole sheet. Numerical simulations revealed the details: the pairs become inextricably linked, plunge into probability overlap, and obey the laws of quantum heat. The vibrations are measured by interferometry — a method sensitive to atomic tremors. The whole cloud is described by the rules of quantum field and behaves like a single organism, flowing without resistance.

And here's the surprise: the superconducting gap is visible under a microscope: it's brightest around defects, and magnetic vortices stick to them, painting a map of chaos. Thus disorder becomes a guiding thread for the current. By controlling defects, we can create flexible graphene electronics — with sensors and magnetic field detectors.

You can literally see the superconducting gap with a scanning tunneling microscope: it is brightest around defects, and magnetic vortices stick to them like threads to a magnet, creating a visible map of disorder.

Chaos giving birth to order is reminiscent of the world of 'Dune': there, melange granted prescience, while here, defects in the atomic lattice open the path to superconductivity.

T_{\rm BKT} = \frac{\pi}{8} \sqrt{\det D_s}
The phase coherence temperature is determined by the superfluid weight D_s
\lambda_{\max}(T_c) = 1/U
The critical temperature is found from the condition that the leading eigenvalue of the pairing stability matrix equals unity
Scientists
David DeutschErwin SchrödingerJohn Stewart BellLouis de BroglieLov GroverPaul Benioff
Concepts
graphene superconductivity disorder induced phenomena quantum order disorder light induced superconductivity proximity effect graphene graphite superfluid stiffness moiré pattern effects pseudogap monolayer moir pattern interference coherence superfluidity superconducting phase transition interlayer coupling molybdenum disulfide pair density wave bcs theory