How Electrons Jostle Each Other ✎ express

Original: "Spatial and energetic correlations of ultrashort two electron pulses"
arXiv:2608.12040v1 · 2026-08-12 · arXiv non-exclusive · independent analysis · 1 min
Scientists have, for the first time, fully measured how two electrons interfere with each other as they fly off a needle tip.

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Two electrons that leave a metal needle tip almost simultaneously start to repel each other, like two people trying to squeeze through a narrow door at the same time. The closer they are, the more they get in each other's way. For the first time, scientists have fully measured this repulsion in three dimensions, using a needle with an extremely sharp point and ultrashort laser pulses.

They found that if electrons fly close together in the transverse direction, their energies differ noticeably — creating a "gap" of 3.3 electronvolts (a tiny energy, roughly that of a visible-light photon). And if they have nearly the same energy, they scatter more strongly sideways — the divergence angle increases by 34.5%. These results matched calculations that treated electrons as tiny charged spheres.

This behavior can be used as a filter: a simple aperture with a hole would let only single electrons through, filtering out pairs.

The experiment showed that with such a filter and additional energy selection, you can make a beam with almost no paired electrons: out of every hundred pulses, only two contained a pair, while retaining 3% of the original beam. This paves the way for sharper images in electron microscopes and for studying quantum entanglement of electrons.

Electrons hate crowding so much that two electrons emitted simultaneously can fly apart at an angle noticeably larger than if they had flown alone.

Scientists
Charles-Augustin de CoulombLeo EsakiAndrey Markov
Concepts
electronic correlations superconducting gap electron hole pair attosecond laser classical electron radius ultrashort pulse energy gap laser pulse electronvolt short range correlations coulomb repulsion exchange coupling visible light mass–energy equivalence ultrafast electronics wavelength weyl semimetal attosecond spectroscopy electron correlation energy level