The sub band dispersion of confined electrons is altered by the microscopic interface asymmetry of (001)-grown semiconductor heterostructures, which also causes heavy-light hole coupling even at zero in-plane wave vector k.
We use matrix perturbation theory to obtain precise expressions produced by this interface asymmetry, which in the 22 conduction band Hamiltonian emerge as a warping and a spin-splitting term. We start with a multiband envelope formulation. The spin-splitting term has the same structure as the analogous term produced from the zinc-blende bulk inversion asymmetry, whereas the warping term causes an inequivalence of the dispersion along [110] and [10] as needed by the microscopic C2v symmetry. We'll talk about the implications for spin-relaxation.
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