Acoustic signatures of the phases and phase transitions in Yb${}_2$Ti${}_2$O${}_7$

Abstract

We report on measurements of the sound velocity and attenuation in a single crystal of the candidate quantum- spin-ice material Yb${}_2$Ti${}_2$O${}_7$ as a function of temperature and magnetic field. The acoustic modes couple to the spins magneto-elastically and, hence, carry information about the spin correlations that sheds light on the intricate magnetic phase diagram of Yb${}_2$Ti${}_2$O${}_7$ and the nature of spin dynamics in the material. Particularly, we find a pronounced thermal hysteresis in the acoustic data with a concomitant peak in the specific heat indicating a possible first-order phase transition at about $0.17$ K. At low temperatures, the acoustic response to magnetic field saturates hinting at the development of magnetic order. Furthermore, mean-field calculations suggest that Yb${}_2$Ti${}_2$O${}_7$ undergoes a first-order phase transition from a cooperative paramagnetic phase to a ferromagnet below $T\approx 0.17$ K.

arXiv comment8 pages

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