Theory of strongly phase fluctuating d-wave superconductors and the spin response in underdoped cuprates

TL;DR

This paper develops a comprehensive theory for d-wave superconductors with strong phase fluctuations, explaining their charge and spin responses, and aligning with experimental observations in underdoped cuprates.

Contribution

It introduces a unified theoretical framework for phase fluctuations in d-wave superconductors, connecting charge and spin responses with experimental data.

Findings

Superfluid density follows Uemura scaling.

Charge renormalization decreases with underdoping.

Spin susceptibility exhibits four regimes with frequency, scaling with Tc.

Abstract

General theory of d-wave quasiparticles coupled to phase fluctuations of superconducting order parameter is discussed. In the charge sector the superfluid density is found to conform to Uemura scaling, and the charge renormalization factor to decrease with underdoping. The spin susceptibilty exhibits four distinct regimes with increasing frequency and scales with the superconducting Tc, as observed.