Spin-magnetophonon level splitting in semimagnetic quantum wells

Abstract

Spin-magnetophonon level splitting in a quantum well made of a semimagnetic wide gap semiconductor is considered. The semimagnetic semiconductors are characterized by a large effective $g$ factor. The resonance conditions $\ensuremath{\hbar}{\ensuremath{\omega}}_{\text{LO}}={\ensuremath{\mu}}_{B}gB$ for the spin flip between two Zeeman levels due to the interaction with longitudinal optical phonons can be achieved at sweeping magnetic field $B$. This condition is studied in quantum wells. It is shown that it leads to a level splitting that is dependent on the electron-phonon coupling strength as well as on the spin-orbit interaction in this structure. We treat in detail the Rashba model for the spin-orbit interaction, assuming that the quantum well lacks inversion symmetry and briefly discuss other models. The resonant transmission and the reflection of light by the well are suggested as suitable experimental probes of the level splitting.