Renormalization of Commensurate Magnetic Peak in Ni-doped La$_{1.85}$Sr$_{0.15}$CuO$_{4}$

TL;DR

This study investigates how Ni doping affects magnetic excitations in La$_{1.85}$Sr$_{0.15}$CuO$_{4}$, revealing a crossover from incommensurate spin fluctuations to gapped spin waves and highlighting the magnetic origin of resonance peaks.

Contribution

It demonstrates that Ni doping causes a significant change in magnetic excitation dispersion, suggesting a crossover mechanism distinct from hourglass dispersion models.

Findings

Ni doping shifts the magnetic excitation spectrum to a gapped spin wave.

Incommensurate peaks remain unchanged with Zn doping but change with Ni doping.

The energy shift correlates with the suppression of superconducting transition temperature.

Abstract

We have studied the magnetic excitations in impurity doped La$_{1.85}$Sr$_{0.15}$Cu$_{1-y}$A$_{y}$O$_{4}$ (A=Ni or Zn) by neutron scattering. The dispersion for Zn:$y=0.017$ is similar to that for the impurity free sample: incommensurate peaks with the incommensurability $\delta=0.12\pm0.01$ (rlu) do not change their positions up to 21 meV. On the other hand, for Ni:$y=0.029$, two incommensurate peaks observed at low energies suddenly change into a broad commensurate peak at $E_\mathrm{cross}=15$ meV. Compared to the impurity free sample with a similar Sr-concentration $x=0.16$, [B. Vignolle {\it et al.} Nature Physics {\bf 3} (2007) 163], $E_\mathrm{cross}$ for Ni:$y=0.029$ is decreased by nearly the same factor for the reduction in $T_{c}$. This is very similar to the shift of the resonance energy ($E_\mathrm{res}$) in Ni-doped YBa$_{2}$Cu$_{3}$O$_{7}$.[Y. Sidis {\it et al.}: Phys. Rev. Lett. {\bf 84} (2000) 5900]. These common impurity effects on the shift of $E_\mathrm{cross}$ and $E_\mathrm{res}$ suggest the same magnetic origin for the resonance peak in YBa$_{2}$Cu$_{3}$O$_{\delta}$ and that for a crossing point of upward and downward dispersions in the La$_{2-x}$Sr$_{x}$CuO$_{4}$. We propose that the sudden change in the dispersion is better described by a crossover from incommensurate spin fluctuations to a gapped spin wave rather than a hourglass-like dispersion.