La-doped ASnO3 (A = Ba, Sr) have great potential as advanced transparent oxide semiconductors due to their large optical bandgap and relatively high electron mobility. The bandgap of Ba1−xSrxSnO3 solid solution increases from 3.2 eV (BaSnO3) to 4.6 eV (SrSnO3) with x. However, the increase in the bandgap is accompanied by reductions in the electrical conductivity. The versatility in the changes in the electrical properties are not trivial, and the property optimization has been challenging. Here we propose a simple metric for quantifying the transport properties of ASnO3. We investigated the electron/thermal transport properties of Ba1−xSrxSnO3 solid solution films and their relationship with the lattice distortion. The results suggest that the all transport properties of Ba1−xSrxSnO3 are dominated by the lattice distortion. This phenomenon is attributed to the distortions in the SnO6 octahedron, which consists the conduction band.
I.Rietveld analyses of the powder diffraction patterns of the Ba1−xSrxSnO3 PLD target ceramics. We found that the space group of x ≤ 0.5 is Pm-3m (cubic perovskite) whereas x ≥ 0.7 is Pnma (orthorhombic perovskite) ( Supplementary Fig. S5). The crystal structures drawn from the Rietveld analysis results also demonstrate that the lattice distortion at x = 0.7 is much greater than that at x = 1 (Supplementary Fig. S6). These results would indicate that the lattice distortion is spontaneously introduced due to the stability of orthorhombic symmetry around x ~0.7.Interestingly, the changes observed in the lattice distortion are similar with those observed from the electron and thermal transport properties. In the undoped Ba1−xSrxSnO3 solid solution system, BaSnO3 (x = 0) initially exhibits a near-perfect cubic structure, where the κ is the highest (8 W m −1 K −1 ). The lattice distortion gradually increases until x = 0.7, where the κ exhibits a minimum ( Fig. 3 and 5b). As x increases further, the lattice distortion gradually reduces until x = 1 (SrSnO3). Since the bowing of lattice parameters occurred in the BaSnO3 -SrSnO3 solid solution system like BaTiO3 -SrTiO3 system 21 , the lattice distortion was maximized around x = 0.7, and the cubic structure is not fully recovered, which is consistent with the κ of SrSnO3 being lower than that of BaSnO3. In the case of La-doped Ba1−xSrxSnO3 solid solution films, the lattice distortion has an increasing tendency until x = 0.8 and decrease as it approaches x = 1, which is consistent with all electron transport properties ( Fig. 4 and 5d). However, unlike the lattice distortion, a plateau can be seen in μHall and n from x = 0.2 to 0.4. This plateau implies that the dopant scatterings from the A-site substitution is not significant but not trivial to understand. It seems that ~0.6 % is a critical distortion in SnO6 for the electron transport properties of ASnO3. For example, a sudden drop in μHall and n is observed at x = 0.5 when the lattice distortion reaches ~0.7 %. In addition, an abrupt 9 S. Raghavan, T.