# Thermal Expansion of the Heavy-fermion Superconductor PuCoGa$_{5}$

## TL;DR

This study investigates the thermal expansion properties of the heavy-fermion superconductor PuCoGa$_{5}$, revealing anisotropic behavior below 150 K and a significant jump in volume expansion at the superconducting transition.

## Contribution

First high-resolution x-ray diffraction analysis of PuCoGa$_{5}$'s thermal expansion, showing deviations from conventional models and insights into its superconducting state.

## Key findings

- Thermal expansion becomes anisotropic below 150 K.
- Volume expansion coefficient shows a jump at T_c.
- Deviations from simple anharmonic behavior models.

## Abstract

We have performed high-resolution powder x-ray diffraction measurements on a sample of $^{242}$PuCoGa$_{5}$, the heavy-fermion superconductor with the highest critical temperature $T_{c}$ = 18.7 K. The results show that the tetragonal symmetry of its crystallographic lattice is preserved down to 2 K. Marginal evidence is obtained for an anomalous behaviour below $T_{c}$ of the $a$ and $c$ lattice parameters. The observed thermal expansion is isotropic down to 150 K, and becomes anisotropic for lower temperatures. This gives a $c/a$ ratio that decreases with increasing temperature to become almost constant above $\sim$150 K. The volume thermal expansion coefficient $\alpha_{V}$ has a jump at $T_{c}$, a factor $\sim$20 larger than the change predicted by the Ehrenfest relation for a second order phase transition. The volume expansion deviates from the curve expected for the conventional anharmonic behaviour described by a simple Gr\"{u}neisen-Einstein model. The observed differences are about ten times larger than the statistical error bars but are too small to be taken as an indication for the proximity of the system to a valence instability that is avoided by the superconducting state.