Topological Theory of Ceramic High Temperature Superconductors

TL;DR

This paper proposes a topological framework based on a self-organized dopant network model to explain the high transition temperatures and universal features of ceramic high-temperature superconductors, challenging traditional BCS theory.

Contribution

It introduces a topological theory that explains high Tc in ceramic superconductors using a self-organized dopant network model, addressing limitations of BCS theory.

Findings

Explains high Tc without electron-phonon pairing

Predicts upper bounds for Tc in cuprates and pnictides

Accounts for universal features of ceramic superconductors

Abstract

Optimally doped ceramic superconductors (cuprates, pnictides, ...) exhibit transition temperatures Tc much larger than strongly coupled metallic superconductors like Pb (Tc= 7.2K, Eg/kTc = 4.5), and exhibit many universal features that appear to contradict the BCS theory of superconductivity based on attractive electron-phonon pairing interactions. Here I argue that this paradoxical simplicity is plausibly resolved within the framework of the Pauling-Phillips self-organized, hard-wired dopant network model of ceramic superconductors, which has previously explained many features of the normal-state transport properties of these materials and successfully predicted strict lowest upper bounds for Tc in the cuprate and pnictide families.