Superconductors as giant atoms: qualitative aspects

TL;DR

This paper presents a qualitative theory of superconductors as giant atoms, emphasizing the undressing of hole carriers and predicting inhomogeneous charge distribution, electric fields, and macroscopic spin currents in the superconducting state.

Contribution

It introduces a novel conceptual framework describing superconductors as giant atoms with undressed electrons, linking microscopic interactions to macroscopic phenomena.

Findings

Dressed hole carriers become undressed electrons in superconductors.

Charge distribution is predicted to be inhomogeneous with negative charge near the surface.

Superconductors exhibit macroscopic spin currents and electric fields inside.

Abstract

When the Fermi level is near the top of a band the carriers (holes) are maximally dressed by electron-ion and electron-electron interactions. The theory of hole superconductivity predicts that only in that case can superconductivity occur, and that it is driven by $undressing$ of the carriers at the Fermi energy upon pairing. Indeed, experiments show that dressed hole carriers in the normal state become undressed electron carriers in the superconducting state. This leads to a description of superconductors as giant atoms, where undressed time-reversed electrons are paired and propagate freely in a uniform positive background. The pairing gap provides rigidity to the wavefunction, and electrons in the giant atom respond to magnetic fields the same way as electrons in diamagnetic atoms. We predict that there is an electric field in the interior of superconductors and that the charge distribution is inhomogeneous, with higher concentration of negative charge near the surface; that the ground state of superconductors has broken parity and possesses macroscopic spin currents, and that negative charge spills out when a body becomes superconducting.