Abstract:
Hole semiconductor spintronics is very interesting due most diluted
magnetic semiconductors being p-type. More importantly from a physics
point of view, the spin-3/2 character of states in the topmost
valence band of semiconductors can lead to intricate and sometimes
counterintuitive quantum phenomena in hole nanostructures. Two
examples are the strong anisotropies of the effective g-factors of
two-dimensional hole gases [1], and hole quantum point contacts [2].
Confinement effects appear to drastically influence the spin
polarization of hole systems and provide an avenue for hole spin
manipulation.
In this work, we theoretically investigate the effects of confinement
on spin splitting in cylindrical hole nanowires. An anomalous spin
polarization is found to result from a complex interplay between
heavy-hole-light-hole splitting, confinement, and symmetry. In
particular, we find that the effective g-factors are fluctuating
strongly between different wire levels. These findings are universal,
i.e., radius-independent, for a given material. Strikingly, some
levels have a vanishing g-factor, indicating total lack of
polarization. Using an invariant expansion of the spin-3/2 hole
density matrix [3], we have investigated in detail the origin of the
fluctuations and the complete g-factor suppressions of some of the
levels. We found intriguing radially dependent spin textures which
directly correlate with the magnitude of the g-factors. Furthermore,
we find very interesting dependence of the g-factors on the
spin-orbit coupling strength in the valence band. This may open up
avenues for hole g-factor manipulation, e.g., in heterostructured
nanowires.
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