Generalizing the Cooper-Pair Instability to Doped Mott Insulators

TL;DR

This paper extends the concept of Cooper pairing instability from conventional Fermi liquids to doped Mott insulators, explaining high-temperature superconductivity in copper oxides through competing antiferromagnetism and d-wave pairing.

Contribution

It introduces a generalized pairing instability framework applicable to doped Mott insulators, bridging the gap between traditional Cooper theory and high-Tc superconductors.

Findings

Pairing instability arises naturally in doped Mott insulators.

Competing antiferromagnetism and d-wave superconductivity drive pairing.

Implications for understanding high-temperature superconductivity mechanisms.

Abstract

Copper oxides become superconductors rapidly upon doping with electron holes, suggesting a fundamental pairing instability. The Cooper mechanism explains normal superconductivity as an instability of a fermi-liquid state, but high-temperature superconductors derive from a Mott-insulator normal state, not a fermi liquid. We show that precocity to pair condensation with doping is a natural property of competing antiferromagnetism and d-wave superconductivity on a singly-occupied lattice, thus generalizing the Cooper instability to doped Mott insulators, with significant implications for the high-temperature superconducting mechanism.