Semiclassical time evolution of the holes from Luttinger Hamiltonian | Zendy

Zhi Jiang | Zendy; Rui Li | Zendy; Shengbai Zhang | Zendy; Wei Liu | Zendy

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Semiclassical time evolution of the holes from Luttinger Hamiltonian

Author(s) -

Zhi Jiang,

Rui Li,

Shengbai Zhang,

Wei Liu

Publication year - 2005

Publication title -

physical review b

Language(s) - English

Resource type - Journals

eISSN - 1538-4489

pISSN - 1098-0121

DOI - 10.1103/physrevb.72.045201

Subject(s) - semiclassical physics , zitterbewegung , physics , hamiltonian (control theory) , helicity , adiabatic process , quantum mechanics , electron , quantum electrodynamics , mathematical physics , classical mechanics , quantum , mathematical optimization , mathematics

We study the semi-classical motion of holes by exact numerical solution ofthe Luttinger model. The trajectories obtained for the heavy and light holesagree well with the higher order corrections to the abelian and the non-abelianadiabatic theories in Ref. [1] [S. Murakami et al., Science 301, 1378(2003)],respectively. It is found that the hole trajectories contain rapid oscillationsreminiscent of the "Zitterbewegung" of relativistic electrons. We also commenton the non-conservation of helicity of the light holes.Comment: 4 pages, 5 fugure

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