Multi-Channel Scattering Calculations
of Fano Interference of Quasi-Two-Dimensional Excitons

Abstract

Details of interference patterns of Fano-spectral-profiles for a quasi-two-dimensional exciton in quantum wells are examined. Oscillator strengths are calculated by solving the multi-channel scattering problem under incoming scattering-wave boundary conditions by use of the R-matrix method. The R-matrix basis set resorts to the three-channel Landau-Zener wavefunctions. It is shown that the Coulomb coupling and the hole-subband mixing give rise to different interference patterns and the spectral profile results from a superposition between the two distinct shapes. A prominent asymmetric profile having a peak-and-dip structure is responsible for the former coupling, whereas the latter one causes a symmetric profile and blurs the asymmetry as the hole-subband mixing is stronger.