Semiclassical Time Evolution of the Holes from Luttinger Hamiltonian

Details Semiclassical Time Evolution of the Holes from Luttinger Hamiltonian Semiclassical Time Evolution of the Holes from Luttinger Hamiltonian

2004-10-17

arxiv.org/abs/cond-mat/0410420v1

Phys. Rev. B 72, 045201 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 5 fugures

Scientific paper

10.1103/PhysRevB.72.045201

We study the semi-classical motion of holes by exact numerical solution of the Luttinger model. The trajectories obtained for the heavy and light holes agree well with the higher order corrections to the abelian and the non-abelian adiabatic theories in Ref. [1] [S. Murakami et al., Science 301, 1378(2003)], respectively. It is found that the hole trajectories contain rapid oscillations reminiscent of the "Zitterbewegung" of relativistic electrons. We also comment on the non-conservation of helicity of the light holes.

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