Spin-orbit interaction in symmetric wells with two subbands

Abstract

We investigate the spin-orbit (s-o) interaction in two-dimensional electron gases (2DEGs) in quantum wells with two subbands. From the $8\times 8$ Kane model, we derive a new inter-subband-induced s-o term which resembles the functional form of the Rashba s-o -- but is non-zero even in \emph{symmetric} structures. This follows from the distinct parity of the confined states (even/odd) which obliterates the need for asymmetric potentials. We self-consistently calculate the new s-o coupling strength for realistic wells and find it comparable to the usual Rashba constant. Our new s-o term gives rise to a non-zero ballistic spin-Hall conductivity, which changes sign as a function of the Fermi energy (${\epsilon }_F$), and can induce an unusual \emph{zitterbewegung} with cycloidal trajectories \textit{without} magnetic fields.

v2: 4 two-column pages, 3 figures (added spin Hall conductivity and self-consistent calculation)

References in corpus (5)

• Zitterbewegung of electronic wave packets in semiconductor nanostructures
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• Anisotropic current-induced spin accumulation in the two-dimensional electron gas with spin-orbit coupling
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