From incommensurate to dispersive spin-fluctuations: The high-energy inelastic spectrum in superconducting YBa2Cu3O6.5

TL;DR

This study investigates high-energy spin fluctuations in superconducting YBa2Cu3O6.5, revealing dispersive behavior and a ring-shaped wave-vector pattern that differ from low-energy incommensurate modulations, providing insights into the spin dynamics above the resonance energy.

Contribution

It introduces a new method to extract acoustic and optic weights from neutron data and compares high-energy spin fluctuations with stripe models, highlighting their limitations.

Findings

High-energy spin response peaks at wave vectors increasing with energy.

The spin spectral weight at high energies resembles that of the insulator.

Optic spectral weight extends to surprisingly low energies (~25 meV).

Abstract

We have investigated the spin fluctuations at energy transfers up to ~110 meV, well above the resonance energy (33 meV) in the YBa2Cu3O6.5 ortho-II superconductor using neutron time-of-flight and triple-axis techniques. The spectrum at high energies differs from the low-energy incommensurate modulations previously reported where the incommensurate wave vector is largely independent of energy. Well above the resonance the peak of the spin response lies at wave vectors that increase with energy. Within error the excitations at all energies above the resonance are best described by a ring around the (pi, pi) position. The isotropic wave-vector pattern differs from a recently reported square pattern in different but related systems. The spin spectral weight at high-energies is similar to that in the insulator but the characteristic velocity is ~40% lower. We introduce a method of extracting the acoustic and optic weights at all energies from time-of-flight data. We find that the optic spectral weight extends to surprisingly low-energies of ~25 meV, and infer that the bilayer spin correlations weaken with increase in hole doping. When the low-energy optic excitations are taken into account we measure the total integrated weight around (pi, pi), for energies below 120 meV, to agree with that expected from the insulator. As a qualitative guide, we compare spin-wave calculations for an ordered and a disordered stripe model and describe the inadequacy of this and other stripe models for the high-energy fluctuations.