Harper-Hofstadter problem for 2D electron gas with $\mathbf{k}$-linear Rashba spin-orbit coupling

Abstract

The Harper-Hofstadter problem for 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 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.

8 pages, 6 figures. submitted to Europhys. Letters

References in corpus (1)

• Magnetotransport in a two-dimensional electron gas in the presence of spin-orbit interaction

Cited by in corpus (5)

• Bloch's theory in periodic structures with Rashba's spin-orbit interaction
• Hall Conductance of a Two-Dimensional Electron Gas with Spin-Orbit Coupling at the Presence of Lateral Periodic Potential
• Terahertz radiation-induced conductivity, Kerr and Faraday angles, and spin textures in a two-dimensional electron gas with spin-orbit coupling subjected to a high magnetic field and periodic potential
• Density inhomogeneities and Rashba spin-orbit coupling interplay in oxide interfaces
• Periodic Structures with Rashba Interaction in Magnetic Field