# Crystal structure and thermodynamic properties of the non-centrosymmetric PrRu$_4$Sn$_6$ caged compound

## TL;DR

This study investigates the crystal structure and thermodynamic properties of PrRu4Sn6, revealing its non-centrosymmetric tetragonal structure, magnetic behavior, and phonon interactions, with implications for understanding caged compounds.

## Contribution

The paper provides the first detailed analysis of PrRu4Sn6's structure, magnetic properties, and phonon modes, highlighting its non-centrosymmetric nature and thermal behavior.

## Key findings

- No long-range magnetic order down to 2 K
- Effective magnetic moment of 3.34 μB/Pr
- Presence of optical-phonon mode and glass-like thermal conductivity

## Abstract

PrRu$_4$Sn$_6$ is a tetragonal, non-centrosymmetric structure compound. It is isostructural to the extensively studied Kondo insulator CeRu$_4$Sn$_6$ which crystallizes in the YRu$_4$Sn$_6$-type structure with space group $I$\={4}2$m$. In this structure, the Pr atom fills the void formed by the octahedral Ru$_4$Sn$_6$ units which results in a tetragonal body-centred arrangement. Here we present reports on the physical and magnetic properties of PrRu$_4$Sn$_6$. The temperature dependences of specific heat, $C_p(T)$, electrical resistivity, $\rho(T)$, and magnetic susceptibility, $\chi(T)$, reveal the absence of a long-range magnetic ordering down to 2 K. $\chi(T)$ follows a Curie-Weiss behaviour above 100 K with an effective magnetic moment, $\mu_\mathrm{eff}$ = 3.34 $\mu_B$/Pr and paramagnetic Weiss temperature, $\theta_p$ = $-$19.47 K indicating a dominant antiferromagnetic interaction. The magnetization at 2 K is quasi-linear in nature and attains a value of 0.86 $\mu_B$/Pr at 7 T which is well reduced compared to the calculated value of 3.32 $\mu_B$/Pr expected for a free Pr$^{3+}$ ion. This is attributed to possible magneto-crystalline anisotropy in the system. $C_p(T)$ indicates the presence of a optical-phonon mode which is supported by a glass-like thermal conductivity above $\sim$45 K. This observation is associated with caged structured compounds where the low-frequency optical-phonon mode of the guest atom interacts with the host lattice, resulting in the scattering of heat-carrying quasiparticles.