Evaluation of quasiparticle energies for semiconductors without inversion symmetry

We have generalized the Fourier-space Hybertsen-Louie self-energy approach for quasiparticle energies in semiconductors to cases without inversion symmetry. In the evaluation of the self-energy operator, a complex four-dimensional Fourier space is used to carry out the double Fourier transforms for time and spatial variables independently. The generalized plasmon-pole scheme for including both local fields and dynamical effects is also properly extended to systems without an inversion center. The quasiparticle energies for GaAs and AlAs are calculated with use of this approach and results in agreement with experimental data are obtained.