How Superconductivity Is Born express

Original: "On pseudogap phase as precursor to a superconducting dome in high-Tc cuprates: Non-analytic T* as a function of doping"
· Felix A. Buot
arXiv:2606.11056 · 2026-06-09 · CC BY 4.0 · 2 min
Superconductivity in cuprates emerges only when the pseudogap fades and order grows.

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In some materials, electric current can flow without any loss: this is superconductivity. But before becoming a superconductor, a substance often passes through a strange state: electrons already sense each other and form pairs, yet they cannot move in unison. This phase is called the pseudogap, as if the material is frozen in hesitation before a leap.

The pseudogap is like an orchestra rehearsal: the musicians have gathered and tuned their instruments, but they only start playing at the wave of the conductor's baton.

An international team of physicists, building on recent work by Richard Feynman on quantum interactions, has derived two clear conditions under which the pseudogap gives way to the superconducting dome. First: the pseudogap temperature must drop as more charge carriers are added to the material. As if the hesitation dissipates with more participants in the rehearsal. Second: the order parameter must simultaneously grow, meaning the system becomes increasingly organized. These two conditions are met thanks to a new pairing mechanism — entanglement and confinement of holes (ECHP). In it, the quantum connection between particles is so strong that they cannot drift apart.

Unlike conventional superconductors, where pairs form via lattice vibrations, here the key role is played by quantum entanglement — an invisible thread that binds particles even at a distance.

This mechanism does not just explain how superconductivity appears in cuprates. It describes the entire phase diagram — both for materials with excess electrons and for those with a deficit. It turns out that superconductivity is not a random guest but a natural outcome: the fading of the pseudogap coincides with the growth of order.

Original abstract

as written by the authors arXiv:2606.11056

We generalize the condition under which a quantum material exhibiting a pseudogap phase is a precursor to a superconducting (SC) dome. The result reveals the non-analytic T* as a function of doping. A well-known example is the high-Tc cuprates. Essentially, the SC dome is generated under two conditions: (1) that the pseudogap T* is a decreasing function of doping, due to the decrease in size of extended pairing of doped holes with doping, and most importantly, (2) that the rate of configurational-ordering parameter is an increasing function of doping as a result of the decrease in extended length of the disordered pairs. These two conditions are provided by the new entanglement and confinement pairing mechanism of high-Tc cuprates. This is a theory that has recently been discussed in the literature by Buot et al. It hinges on a novel strong entanglement and confinement hole pairing (ECHP) mechanism that unravels the microscopic features of the entire phase diagram of both electron and hole-doped high-Tc cuprates.

The pseudogap was discovered by accident: scientists were trying to understand why superconductivity in cuprates disappears at a certain temperature, and they stumbled upon a state where pairs already exist but supercurrent does not yet.

Scientists
Ludwig BoltzmannRudolf ClausiusWolfgang PauliEmmy NoetherEnrico FermiPaul Dirac
Concepts
superconductivity dome doping pseudogap hole doping superconductivity enhancement mechanisms transition temperature cuprate superconducting phase transition superconducting gap candidate Cooper pair hopf bifurcation bottleneck proximity effect superconducting wire electron pairing high temperature superconductor charge qubit light induced superconductivity