Published February 15, 2010 | Version v1
Report

Semiclassical Time Evolution of the Holes from Luttinger Hamiltonian

Description

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.

Availability note (English)

Available from http://www.slac.stanford.edu/cgi-wrap/getdoc/slac-pub-13905.pdf; http://www.slac.stanford.edu/cgi-wrap/pubpage?slac-pub-13905.html; PURL: https://www.osti.gov/servlets/purl/972235-UUJE9M/

Additional details

Publishing Information

Imprint Pagination
4 p.
Report number
SLAC-PUB--13905

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
41049785
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Non-conventional Literature
Descriptors DEI
ELECTRONS; HAMILTONIANS; HELICITY; NUMERICAL SOLUTION; OSCILLATIONS; TRAJECTORIES; ZITTERBEWEGUNG
Descriptors DEC
ELEMENTARY PARTICLES; FERMIONS; LEPTONS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; PARTICLE PROPERTIES; QUANTUM OPERATORS

Optional Information

Contract/Grant/Project number
AC02-76SF00515
Notes
Submitted to Physical Review
Funding organization
US Department of Energy (United States)