Abstract
Coherent electron-spin dynamics in ${\text{Ga}}_{1\ensuremath{-}x}{\text{Mn}}_{x}\text{N}$ has been investigated by time-resolved Kerr rotation spectroscopy. The effective electron $g$ factor shows a linear increase with the Mn concentration due to the s-d exchange coupling between the conduction electrons and the $d$-shell electrons of ${\mathrm{Mn}}^{3+}$ impurities. The magnitude and sign of the s-d exchange constant are determined precisely to be ${N}_{0}\ensuremath{\alpha}=+0.23\ifmmode\pm\else\textpm\fi{}0.02\phantom{\rule{0.16em}{0ex}}\mathrm{eV}$, indicative of a ferromagnetic s-d exchange coupling in GaMnN. The determined ${N}_{0}\ensuremath{\alpha}$ is consistent with the typical value found in most diluted magnetic semiconductors and reveals that GaMnN is indeed not an exception.
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