Abstract
The magnetoexciton spectrum of wurtzite-type GaN in high magnetic field parallel to the crystal $c$ axis is studied theoretically. The magnetic field dependence of the interband absorption spectra for various polarizations of light is obtained by solving the multisubband exciton equation in the Landau orbitals representation using the Lanczos reduction technique. Our theoretical model takes into account the hexagonal symmetry of the wurtzite GaN crystal and includes the coupling between different valence subbands. It is shown that the proposed method consistently reproduces experimental data in the wide range of magnetic fields. By comparing our results with experimental data we were able to estimate the valence band Luttinger constant $\ensuremath{\kappa}\ensuremath{\approx}0.35$.
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