Phonon and Magnetic Excitations in Superconducting Ca$_{10}$Pt$_4$As$_8$(Fe$_{1-x}$Pt$_x$As)$_{10}$

TL;DR

This study uses inelastic neutron scattering to explore phonons and magnetic excitations in superconducting Ca$_{10}$Pt$_4$As$_8$(Fe$_{1-x}$Pt$_x$As)$_{10}$, providing insights into orbital fluctuations' role in pairing and nematic phases.

Contribution

It presents new experimental evidence linking orbital fluctuations to superconductivity and nematicity in this compound through detailed phonon and magnetic excitation analysis.

Findings

Magnetic spectral weight is suppressed at low energies and enhanced at higher energies.

The maximum enhancement occurs at approximately 18 meV, supporting orbital-fluctuation-mediated pairing.

Softening of the in-plane transverse acoustic mode indicates lattice instability related to nematicity.

Abstract

Inelastic neutron scattering studies have been carried out on selected phonons and magnetic excitations of a crystal of superconducting (SC) Ca$_{10}$Pt$_4$As$_8$(Fe$_{1-x}$Pt$_x$As)$_{10}$ with the onset transition temperature $T_{\rm c}^{\rm onset} \sim$ 33 K to investigate the role that orbital fluctuations play in the Cooper pairing. The spectral weight of the magnetic excitations, $\chi ''({\bm Q}, \omega)$ at ${\bm Q} = {\bm Q}_{\rm M}$ (magnetic $\Gamma$ points) is suppressed (enhanced) in the relatively low (high) $\omega$ region. The maximum of the enhancement is located at $\omega = \omega_{\rm p} \sim$ 18 meV at temperature $T = 3$ K corresponding to the $\omega_{\rm p}/k_{\rm B}T_{\rm c}^{\rm onset} \sim$ 6.3. This large value is rather favorable to the orbital-fluctuation mechanism of the superconductivity with the so-called $S_{++}$ symmetry. In the phonon measurements, we observed slight softening of the in-plane transverse acoustic mode corresponding to the elastic constant $C_{66}$. This softening starts at $T$ well above the superconducting $T_{\rm c}$, as $T$ decreases. An anomalously large increase in the phonon spectral weight of in-plane optical modes was observed in the range of $35 < \omega < 40$ meV with decreasing $T$ from far above $T_{\rm c}$. Because this $\omega$ region mainly corresponds to the in-plane vibrations of Fe atoms, the finding presents information on the coupling between the orbital fluctuation of the Fe 3$d$ electrons and lattice system, useful for studying possible roles of the orbital fluctuation in the pairing mechanism and appearance of the so-called nematic phase.