Dynamic spin-response function of the high-temperature Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ superconductor form angle resolved photoemission spectra

TL;DR

This paper presents a new formalism for calculating the dynamic spin response of high-temperature cuprate superconductors using ARPES data, successfully matching neutron scattering results and aiding interpretation of various spectroscopic measurements.

Contribution

The authors develop a novel formalism linking ARPES-derived Green's functions to dynamic response functions, enabling improved analysis of spin dynamics in cuprate superconductors.

Findings

Good agreement with neutron scattering data, especially the $( ext{pi}, ext{pi})$ resonance.

Reproduces the reversed magnon dispersion observed experimentally.

Formalism applicable to other spectroscopic techniques like optical and Raman.

Abstract

We introduce a formalism for calculating dynamic response functions using experimental single particle Green's functions derived from angle resolved photoemission spectroscopy (ARPES). As an illustration of this procedure we estimate the dynamic spin response of the cuprate superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$. We find good agreement with superconducting state neutron data, in particular the $(\pi,\pi)$ resonance with its unusual `reversed magnon' dispersion. We anticipate our formalism will also be of useful in interpreting results from other spectroscopies, such as optical and Raman responses.