Glass-like features of crystalline solids in the quantum critical regime

There has been growing interest in structural quantum phase transitions and quantum fluctuations of phonons in the research area of condensed matter physics. Here, we report the observation of glass-like features in the lattice heat capacity of a stuffed tridymite-type crystal, Ba1-xSrxAl2O4, a candidate compound of quantum paraelectrics. Substitutional chemical suppression of the ferroelectric phase transition temperature (TC) of Ba1-xSrxAl2O4 results in the disappearance of the TC at x=0.07. For the compositional window of x=0.2-0.5, the lattice heat capacity is enhanced below approximately 10 K and diverges from the T3-scaling law below 2.5 K. Synchrotron X-ray diffraction experiments on single crystals reveal the weakly correlated disorder in the crystal structure that survives down to low temperature; this disorder is responsible for the observed excess heat capacity. These features can be considered one of the manifestations of structural quantum fluctuations.