Doping dependence of bose condensation energy and correlations with spectral peak intensity and superfluid weight in high Tc cuprates

TL;DR

This paper explores how the bose condensation energy, superfluid weight, and spectral peak intensity vary with doping in high Tc cuprates, revealing a universal arch-shaped doping dependence and a quadratic relation for condensation energy.

Contribution

It introduces a holon-pair boson theory-based analysis of doping effects on key physical quantities in high Tc cuprates, highlighting their universal behavior and specific scaling relations.

Findings

Physical quantities show an arch-shaped doping dependence.

All quantities scale with hole density x, not electron density 1-x.

Condensation energy scales as x^2 times the square of the pairing gap.

Abstract

Based on our recent holon-pair boson theory of the t-J Hamiltonian (Phys. Rev. B 64, 052501 (2001)) we report the doping dependence of the bose condensation energy, superfluid weight and spectral peak intensity. We find a universality of doping dependence in these physical quantities, by equally showing an arch shape in the variations of their magnitudes with the hole doping concentration. We find that all of these physical quantities scale well with the positive charge carrier (hole) density x, but not with the electron density 1-x for the entire range of hole doping. It is shown that the doping dependence of the condensation energy U at T = 0 K is given by the relation, $U(0) \approx \alpha x^2 |\Delta_0|^2$ with $\Delta_0$, the pairing gap at 0 K and $\alpha$, a constant.