Spin-magnetophonon level splitting in semimagnetic quantum wells

TL;DR

This paper investigates the spin-magnetophonon level splitting in semimagnetic quantum wells, highlighting how magnetic field tuning can induce level splitting dependent on electron-phonon and spin-orbit interactions, with potential optical detection methods.

Contribution

It provides a detailed analysis of spin-magnetophonon level splitting in semimagnetic quantum wells, emphasizing the role of Rashba spin-orbit interaction and proposing optical experiments for detection.

Findings

Level splitting depends on electron-phonon coupling and spin-orbit interaction.

Resonance conditions can be achieved by sweeping magnetic field.

Optical transmission and reflection can probe the level splitting.

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 $\hbar\omega_{\rm LO}=\mu_BgB$ for the spin flip between two Zeeman levels due to interaction with longitudinal optical phonons can be achieved 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 reflection of light by the well is suggested as a suitable experimental probe of the level splitting.