Resonant Ultrasound Spectroscopy for Irregularly-Shaped Samples and its Application to Uranium Ditelluride

Resonant ultrasound spectroscopy (RUS) is a powerful technique for measuring the full elastic tensor of a given material in a single experiment. Previously, this technique was limited to regularly-shaped samples such as rectangular parallelepipeds, spheres, and cylinders. We demonstrate a new method for determining the elastic moduli of irregularly-shaped samples, extending the applicability of RUS to a much larger set of materials. We apply this new approach to the recently-discovered unconventional superconductor UTe${}_2$ and provide its elastic tensor at both 300 and 4 kelvin.