“…In particular, a decrease in the amount of charge transferred by polarization switching crucially increases the difficulty in measuring spontaneous polarization of nanosized ferroelectrics, because the absolute amount of charge decreases in proportion to the square of lateral dimensions. Therefore, there have been very few reports on polarization hysteresis loops or switching currents for nanosized ferroelectrics, 5,8,15,16) whereas piezoelectric coefficients, which are expected to be proportional to the polarization, and their size dependence have been extensively studied. 4,6,13,17,18) This is also because the piezoelectric displacement is in principle independent of the lateral dimensions of the ferroelectrics.…”