Percolation origin of anomalous conductivity behavior in BaCe1−xErxO3 near x=0.3

A perovskite-structured solid solution BaCe1−xErxO3 at high doping level was demonstrated to have percolation properties. In the special case that this system is partitioned into a mixture of two phases whose fractions vary with concentration of Er ions, the anomalous behavior of protonic conduction is explained by the existence of a percolation threshold near x=0.3.