“…The band gaps calculated from DFT-PBE and DFT-vdW are decreased by about 1.0 eV aer inclusion of the SOC effects. The HSE06 calculation including SOC effects has a band gap that is about 0.82 eV lower, decreasing from 1.9937 eV to 20 6.42, 24 -1.368, 19 1.40, 20 1.75, 21 1.45, 24 1.43, 37 1.43, 38 0.224, 19 0.66, 21 0.82, 24 1.47, 38 Experimental 6.3503, 11 6.3620, 37 6.3558, 39 -1.53, 11 1.489, 9 1.45, 39 - 1.1732 eV. The good consistency of the band-gap energy with experiments in the DFT calculations is caused by the strong relativistic effect of the Pb atoms offsetting the underestimation of the band gap by typical DFT calculations.…”