Magnetoabsorption Oscillations and the Zeeman Effect of Excitons for Forbidden Interband Transitions inCu2O Crystals

Abstract

Magnetoabsorption oscillations were studied in cubic ${\mathrm{Cu}}_2$O at 1.5°K for $\Gamma _7^{}{}_{}{}^{+}\to \Gamma _6^{}{}_{}{}^{+}$ forbidden interband transitions in strong dc magnetic fields. The theoretical analysis indicates that in the case of forbidden transitions, oscillations in the magnetoabsorption enable one to evaluate the electron and hole effective masses separately; these were found to be $m_e=0.61\mathrm{}{m}_0$ and $m_h=0.84\mathrm{}{m}_0$. The effective magnetic moment of the hole was determined to be ${\beta }_h=-1.3\mathrm{}\times {10}^{-5\mathrm{}}$ ${\mathrm{G}}^{-1\mathrm{}}$ ${\mathrm{cm}}^{-1\mathrm{}}$. The dielectric constant for ${\mathrm{Cu}}_2$O calculated from these data is ${\epsilon }_0=7.1\mathrm{}$. The Zeeman effect of the yellow-series exciton lines was also studied both experimentally and theoretically.