Bloch's theory in periodic structures with Rashba's spin-orbit interaction

Abstract

We consider a two-dimensional electron gas with Rashba's spin-orbit interaction and two in-plane potentials superimposed along directions perpendicular to each other. The first of these potentials is assumed to be a general periodic potential while the second one is totally arbitrary. A general form for Bloch's amplitude is found and an eigen-value problem for the band structure of the system is derived. We apply the general result to the two particular cases in which either the second potential represents a harmonic in-plane confinement or it is zero. We find that for a harmonic confinement regions of the Brillouin zone with high polarizations are associated with the ones of large group velocity.

6 pages, 5 figures

References in corpus (5)

• Effect of the spin-orbit interaction on the band structure and conductance of quasi-one-dimensional systems
• Spin Accumulation in Quantum Wires with Strong Rashba Spin-Orbit Coupling
• The spin-orbit interaction as a source of new spectral and transport properties in quasi-one-dimensional systems
• Rashba quantum wire: exact solution and ballistic transport
• Harper-Hofstadter problem for 2D electron gas with $\mathbf{k}$-linear Rashba spin-orbit coupling

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• Periodic Structures with Rashba Interaction in Magnetic Field