Europhys. Lett.
Volume 76, Number 3, November 2006
Page(s) 477 - 483
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 11 October 2006
Europhys. Lett., 76 (3), pp. 477-483 (2006)
DOI: 10.1209/epl/i2006-10285-3

Harper-Hofstadter problem for a 2D electron gas with k-linear Rashba spin-orbit coupling

V. Ya. Demikhovskii and A. A. Perov

Nizhny Novgorod State University - Gagarin ave. 23 Nizhny Novgorod 603950, Russian Federation

received 8 July 2006; accepted in final form 11 September 2006
published online 11 October 2006

The Harper-Hofstadter problem for a two-dimensional electron gas with Rashba spin-orbit coupling subject to periodic potential and perpendicular magnetic field is studied analytically and numerically. The butterfly-like energy spectrum, spinor wave functions as well as the spin density and average spin polarization are calculated for actual parameters of semiconductor structure. Our calculations show that in a two-dimensional electron gas subject to periodic potential and uniform magnetic field the effects of energy spectrum splitting caused by large spin-orbit Rashba coupling can be observed experimentally.

71.70.Di - Landau levels.
71.70.Ej - Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect.

© EDP Sciences 2006