Semiclassical Time Evolution of the Holes from Luttinger Hamiltonian

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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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4 pages

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Jiang, Z. F.; Li, R. D.; Zhang, Shou-Cheng & Liu, W. M. February 15, 2010.

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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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4 pages

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  • Journal Name: Submitted to Physical Review

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  • Report No.: SLAC-PUB-13905
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 972235
  • Archival Resource Key: ark:/67531/metadc927234

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  • February 15, 2010

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  • Nov. 13, 2016, 7:26 p.m.

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  • July 13, 2017, 4:34 p.m.

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Jiang, Z. F.; Li, R. D.; Zhang, Shou-Cheng & Liu, W. M. Semiclassical Time Evolution of the Holes from Luttinger Hamiltonian, article, February 15, 2010; United States. (digital.library.unt.edu/ark:/67531/metadc927234/: accessed August 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.