Universal scaling of length, time, and energy for cuprate superconductors based on photoemission measurements of Bi2Sr2CaCu2O8+{\delta}

TL;DR

This paper presents a microscopic scaling relation in cuprate superconductors that links the superconducting order parameter to quasiparticle scattering, providing insights into the pseudogap state and its relation to superconductivity.

Contribution

It introduces a new scaling relation connecting the order parameter and scattering mechanisms in cuprates, based on photoemission data, extending understanding of the pseudogap phase.

Findings

Scaling relation links order parameter to scattering mechanisms

Relation supports marginal Fermi-liquid phenomenology

Provides microscopic insight into pseudogap state

Abstract

A microscopic scaling relation linking the normal and superconducting states of the cuprates in the presence of a pseudogap is presented using angle-resolved photoemission spectroscopy. This scaling relation, complementary to the bulk universal scaling relation embodied by Homes' law, explicitly connects the momentum-dependent amplitude of the d-wave superconducting order parameter at T\sim0 to quasiparticle scattering mechanisms operative at T\gtrsimTc. The form of the scaling is proposed to be a consequence of the marginal Fermi-liquid phenomenology and the inherently strong dissipation of the normal pseudogap state of the cuprates.