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Beside the natural phase, LiGaO$_2$ under different pressure conditions can be stable in different structures [http://dx.doi.org/10.1016/j.ceramint.2017.05.247]. The structures of LiGaO$_2$ were named WZ’, HX’, BCT’, RS’ and RS’’ in analogous with the well-known phases of ZnO. In this work, the electronic band structures of those phases were studied. We found that the bandgap as well as the bandgap type (direct/indirect) are strongly depend on the crystal structure. In addition, for selected crystal structures, the changes of the band gaps with respect to the pressure, i.e., the bandgap deformation potentials, were studied. Our results illustrated that the bandgap of LiGaO$_2$ can be modified by applying pressure in different conditions. The details of the electronic band structures for different phases of LiGaO$_2$ and the pressure dependence of selected phases will be presented and discussed.