Based on an analysis of symmetry, the dispersion relations near the Ai valley in strained Si1-x Gex (0≤x〈0.45)/ (001), (111), (101)Si are derived using the KP method with perturbation theory. These relations demonstrate that △^i levels in strained Si1-x Gex are different from the △1 level in relaxed Si1-x Gex, while the longitudinal and transverse masses (m1^* and mt^* ) are unchanged under strain. The energy shift between the △^i levels and the △1 level follows the linear deformation potential theory. Finally,a description of the conduction band (CB) edge in biaxially strained layers is given.
A band edge model in (101)-biaxial strained Si on relaxed Si1-x Gex alloy,or monoclinic Si (m-Si),is presented using the k · p perturbation method coupled with deformation potential theory. Results show that the [001], [001], [100], [100] valleys constitute the conduction band (CB) edge,which moves up in electron energy as the Ge fraction (x) increases. Furthermore,the CB splitting energy is in direct proportion to x and all the valence band (VB) edges move up in electron energy as x increases. In addition, the decrease in the indirect bandgap and the increase in the VB edge splitting energy as x increases are found. The quantitative data from the models supply valuable references for the design of the devices.