Spectral Weights, d-wave Pairing Amplitudes, and Particle-hole Tunneling Asymmetry of a Strongly Correlated Superconductor

TL;DR

This paper investigates spectral weights and pairing amplitudes in a strongly correlated d-wave superconductor, revealing relations similar to weak coupling and explaining particle-hole asymmetry observed in high-Tc cuprates.

Contribution

It provides a numerical study of spectral weights in a Gutzwiller projected d-wave superconductor and derives a relation between spectral weights and doping, explaining tunneling asymmetries.

Findings

Product of spectral weights equals pairing amplitude squared.

Derived a relation of spectral weight with doping in electron-doped systems.

Explained particle-hole asymmetry and anti-correlation between gap size and peak height.

Abstract

The spectral weights (SW's) for adding and removing an electron of the Gutzwiller projected d-wave superconducting (SC) state of the t-J-type models are studied numerically on finite lattices. Restrict to the uniform system but treat exactly the strong correlation between electrons, we show that the product of weights is equal to the pairing amplitude squared, same as in the weakly coupled case. In addition, we derive a rigorous relation of SW with doping in the electron doped system and obtain particle-hole asymmetry of the conductance-proportional quantity within the SC gap energy and, also, the anti-correlation between gap sizes and peak heights observed in tunneling spectroscopy on high Tc cuprates.