Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2006-09-05
Phys. Rev. B 75, 085318 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
14 pages, 18 figures
Scientific paper
Binding energies of negative and positive trions in doped GaAs quantum wells in high magnetic fields are studied by exact numerical diagonalization in spherical geometry. Compared to earlier calculations, finite width of the quantum well and its asymmetry caused by one-sided doping are both fully taken into account by using self-consistent subband wave functions in the integration of Coulomb matrix elements, and by inclusion of higher subbands along with several Landau levels in the Hilbert space. Detailed analysis of the accuracy and convergence of the exact diagonalization scheme is presented, including dependence on Landau level and subband mixing, sensitivity to the (not well known) single-particle spectrum in the valence band, and the estimate of finite-size errors. The main results are the exciton dispersion and trion binding energy spectrum calculated as a function of the magnetic field, quantum well width, electron concentration, and the presence of an ionized impurity. As a complementary approach, a combination of the exact diagonalization in the quantum well plane and the variational calculation in the normal direction is used as well.
Quinn John J.
Wojs Arkadiusz
No associations
LandOfFree
Exact-diagonalization studies of trion energy spectra in high magnetic fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact-diagonalization studies of trion energy spectra in high magnetic fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact-diagonalization studies of trion energy spectra in high magnetic fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-554498