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