Evolution with hole doping of the electronic excitation spectrum in the cuprate superconductors

TL;DR

This paper analyzes recent scanning tunnelling microscopy results in cuprate superconductors using a boson-fermion resonant crossover model, revealing how energy scales evolve with doping and affect superconducting properties.

Contribution

It applies a boson-fermion crossover model to interpret experimental data, elucidating the evolution of energy scales in cuprates with doping.

Findings

Identification of two key energy scales: local pair binding energy and nodal gap.

Doping influences the evolution of these energy scales.

Insights into the nodal-antinodal dichotomy in HTSC cuprates.

Abstract

The recent scanning tunnelling results of Alldredge et al on Bi-2212 and of Hanaguri et al on Na-CCOC are examined from the perspective of the BCS/BEC boson-fermion resonant crossover model for the mixed-valent HTSC cuprates. The model specifies the two energy scales controlling the development of HTSC behaviour and the dichotomy often now alluded to between nodal and antinodal phenomena in the HTSC cuprates. Indication is extracted from the data as to how the choice of the particular HTSC system sees these two basic energy scales (cursive-U, the local pair binding energy and, Delta-sc, the nodal BCS-like gap parameter) evolve with doping and change in degree of metallization of the structurally and electronically perturbed mixed-valent environment.