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Due to its p-like character, the valence band in GaAs-based heterostructuresoffers rich and complex spin-dependent phenomena. One manifestation is thelarge anisotropy of Zeeman spin splitting. Using undoped, coupled quantum wells(QWs), we examine this anisotropy by comparing the hole spin dynamics for high-and low-symmetry crystallographic orientations of the QWs. We directly measurethe hole $g$ factor via time-resolved Kerr rotation, and for the low-symmetrycrystallographic orientations (110) and (113a), we observe a large in-planeanisotropy of the hole $g$ factor, in good agreement with our theoreticalcalculations. Using resonant spin amplification, we also observe an anisotropyof the hole spin dephasing in the (110)-grown structure, indicating thatcrystal symmetry may be used to control hole spin dynamics.

Hole spin dynamics and hole $g$ factor anisotropy in coupled quantum well systems