Indications of aT=0Quantum Phase Transition inSrTiO3

We have been investigating the effects of electric fields on ${\mathrm{SrTiO}}_3$ for temperatures in the range from 1.6 to 50 K. Measurements of the electric-field-induced strain show a clear signature with increasing field of a crossover from electrostrictive to piezoelectric behavior. The strain versus voltage data scale to a single curve, which we interpret as evidence for a $T=0\mathrm{}$ quantum phase transition. The coefficient of electrostriction appears to diverge as $T\to 0$, further suggestive of a $T=0\mathrm{}$ phase transition.