Evidence for a quantum phase transition in electron-doped Pr${}_{2-x}$Ce${}_x$CuO${}_{4-\delta }$ from Thermopower measurements

The evidence for a quantum phase transition under the superconducting dome in the high-$T_c$ cuprates has been controversial. We report low temperature normal state thermopower(S) measurements in electron-doped Pr${}_{2-x}$Ce${}_x$CuO${}_{4-\delta }$ as a function of doping (x from 0.11 to 0.19). We find that at 2K both S and S/T increase dramatically from x=0.11 to 0.16 and then saturate in the overdoped region. This behavior has a remarkable similarity to previous Hall effect results in Pr${}_{2-x}$Ce${}_x$CuO${}_{4-\delta }$ . Our results are further evidence for an antiferromagnetic to paramagnetic quantum phase transition in electron-doped cuprates near x=0.16.