How Electron Repulsion Gives Rise to Superconductivity ✛ ✎ ✦

Original: "When Repulsion Creates Pairing: A New Perspective on Unconventional Superconductivity"
· Patrick Navez
arXiv:2607.03022 · 2026-07-03 · arXiv non-exclusive · independent analysis · 1 min
In copper-oxygen crystals, the mutual repulsion of electrons turns into attraction, allowing them to pair up and conduct current without losses.

Normally, electrons in wires collide with atoms and lose energy. But superconductors carry current without losses: in them, electrons move in pairs. The paradox is that like charges repel, making it harder for them to pair up than for magnets with the same poles. In copper-oxygen crystals, the environment solves this problem. Missing electrons ('holes') create crowding, like in a packed subway car where strangers are pressed together. Many years ago, John Bardeen suggested that electron repulsion could be turned into attraction through collective effects. In the quantum world, the field of particles rearranges itself via superposition of states and energy uncertainty, giving rise to entanglement. The repulsion is screened, and electrons stick together in pairs — a single quantum 'soup', flowing without friction. This mechanism, based on quantum thermodynamics, explains the material's phases from magnet to the mysterious 'strange metal'. The main surprise: it requires a very specific density of holes, just a little more, and the pairs break apart. Understanding this promises superconductors that work without cooling.

The first high-temperature superconductor based on copper was discovered almost by accident in 1986—scientists just decided to test an unusual ceramic material and were surprised to find that it lost resistance at a temperature above the boiling point of nitrogen.

In the movie 'Avatar,' humans mined unobtanium — a fictional superconductor that works without cooling. Real science is striving for the same.

E_i \approx E_i^{(0)} + \sum_{i'} \frac{t_{pd}^2}{E_i^{(0)} - E_{i'}^{(0)}}
Energy of the i-th state with correction from virtual hole hopping between d- and p-orbitals
U = E_2 + E_0 - E_1 - E_{1'} < 0
Pairing energy U must be negative for favorable pair formation
Scientists
Klaus von KlitzingLev LandauSatyendra Nath BoseJohn BardeenFelix BlochGeorg Ohm
Concepts
Cooper pair electron pairs coulomb repulsion repulsion superconducting gap proximity effect bcs theory electron hole pair unconventional superconductivity triplet superconductivity attraction Coulomb's law cuprate hole doping Casimir effect superconducting loop exchange coupling exchange interaction bubble collision Law of Universal Gravitation