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The spin-orbit interaction generally leads to spin splitting (SS) of electronand hole energy states in solids, a splitting that is characterized by ascaling with the wavevector $\bf k$. Whereas for {\it 3D bulk zincblende}solids the electron (heavy hole) SS exhibits a cubic (linear) scaling with $k$,in {\it 2D quantum-wells} the electron (heavy hole) SS is currently believed tohave a mostly linear (cubic) scaling. Such expectations are based on using asmall 3D envelope function basis set to describe 2D physics. By treatinginstead the 2D system explicitly in a multi-band many-body approach we discovera large linear scaling of hole states in 2D. This scaling emerges from holebands coupling that would be unsuspected by the standard model that judgescoupling by energy proximity. This discovery of a linear Dresselhaus k-scalingfor holes in 2D implies a different understanding of hole-physics inlow-dimensions.

Prediction of large linear-in-k spin splitting for holes in the 2D GaAs/AlAs system