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

2006/07/08 by V. Ya. Demikhovskii, V. Ya. Demikhovskiǐ, A. A. Perov +1 · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1209/epl/i2006-10285-3

8 pages, 6 figures. submitted to Europhys. Letters

arxiv created 2006/07/08 · openalex publication_date 2006/10/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

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.

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