Abstract

Electron spin resonance (ESR) of shallow donor electrons in $n$-type GaAs has been observed by means of direct detection of microwave absorption at magnetic fields of 6--11 T. The ESR structure is smeared out over a magnetic field range of up to $1$ T. The line shape is strongly asymmetric and depends on the magnetic-field sweep direction. These unusual features are assigned to microwave-induced nuclear polarization under ESR conditions, leading to strong effective nuclear fields (Overhauser shift). The ESR curves show a signature of nuclear magnetic resonance if an additional radio-frequency field is applied. The observed ESR line shape is well reproduced by numerical simulation. Furthermore, the Land\'e $g$ factor of weakly localized electrons in GaAs has been accurately determined $(g=\ensuremath{-}0.464\ifmmode\pm\else\textpm\fi{}0.002$ at $B=0)$.

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