Energy levels of a two-dimensional hydrogen atom with spin-orbit Rashba interaction

Abstract

Electronic bound states around charged impurities in two-dimensional systems with structural inversion asymmetry can be described in terms of a two-dimensional hydrogen atom in the presence of a Rashba spin-orbit interaction. Here, the energy levels of the bound electron are evaluated numerically as a function of the spin-orbit interaction, and analytic expressions for the weak and strong spin-orbit coupling limits are compared with the numerical results. It is found that, besides the level splitting due to the lack of inversion symmetry, the energy levels are lowered for sufficiently strong spin-orbit coupling, indicating that the electron gets more tightly bound to the ion as the spin-orbit interaction increases. Similarities and differences with respect to the two-dimensional Fröhlich polaron with Rashba coupling are discussed.

4 pages, 2 figures; Brief Report

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Cited by in corpus (8)

• Observation of Chiral Surface Excitons in a Topological Insulator Bi${}_2$Se${}_3$
• Two-dimensional quantum rings with oscillating spin-orbit interaction strength: A wave function picture
• Energy levels repulsion by spin-orbit coupling in two-dimensional Rydberg excitons
• Large polaron formation induced by Rashba spin-orbit coupling
• Effect of spin-orbit coupling on the zero-point renormalization of the electronic band gap in cubic materials: First-principles calculations and generalized Fröhlich model
• Spatial trends of non-collinear exchange coupling mediated by itinerant carriers with different Fermi surfaces
• Electron spectra in double quantum wells of different shapes
• On the discreet spectrum of fractional quantum hydrogen atom in two dimensions