Investigation of band masses and<i>g</i>values of ZnSe by two-photon magnetoabsorption

Abstract

We present two-photon magnetoabsorption measurements of the 2P-exciton system in ZnSe. The measurements were carried out in Faraday (k\ensuremath{\rightarrow}\ensuremath{\parallel}B\ensuremath{\rightarrow}) and Voigt configurations (k\ensuremath{\rightarrow}\ensuremath{\perp}B\ensuremath{\rightarrow}) in fields up to 9 T. By various combinations of the polarization states of the two photons involved (${\ensuremath{\sigma}}_{+}$,${\ensuremath{\sigma}}_{\mathrm{\ensuremath{-}}}$,\ensuremath{\sigma},\ensuremath{\pi}), up to 22 different magnetic substates can be selectively excited. The Zeeman splitting is highly nonlinear and critically dependent on the set of effective-mass parameters and g values. The large number of magnetic components allows a very precise determination of all relevant mass parameters (${m}_{e}^{\mathrm{*}}$,${g}_{c}$,${\ensuremath{\gamma}}_{1}$,${\ensuremath{\gamma}}_{2}$ ${\ensuremath{\gamma}}_{3}$,\ensuremath{\kappa}). The theoretical data presented in this paper are based on the effective-mass theory for degenerate bands and result from a numerical calculation of the eigenvalues of a set of coupled eigenvalue equations. The Hamiltonian describing the motion of electron and hole in the presence of an external magnetic field is fully expressed by means of spherical tensor operators.