Spin texturing in a parabolically confined quantum wire with Rashba and Dresselhaus spin—orbit interactions

Abstract

In this study, we investigate theoretically the effect of spin-orbit coupling on the energy level spectrum and spin texturing of a quantum wire with a parabolic confining potential subjected to the perpendicular magnetic field. Highly accurate numerical calculations have been carried out using a finite element method. Our results reveal that the interplay between the spin-orbit interaction and the effective magnetic field significantly modifies the band structure, producing additional subband extrema and energy gaps. Competing effects between external field and spin-orbit interactions introduce complex features in spin texturing owing to the couplings in energy subbands. We obtain that spatial modulation of the spin density along the wire width can be considerably modified by the spin-orbit coupling strength, magnetic field and charge carrier concentration.

Spin texturing in quantum wires with Rashba and Dresselhaus spin–orbit interactions and in-plane magnetic field

“…[35] The cubic Dresselhaus term is generally ignored because its contribution is smaller than the linear one as stated in Refs. [31] and [36]. In our study, we ignore the cubic Dresselhaus spin-orbit contribution.…”

“…A considerable amount of survey research has been performed on exhibiting the effects of SO interactions in the absence/presence of external fields. [14][15][16][17][18] Many theoretical and experimental works have searched electronic and transport properties of QWs taking into account Rashba SO interaction [19][20][21][22][23][24][25] and Dresselhaus SO interaction [9,16,[26][27][28][29][30][31] under the influence of perpendicular magnetic fields. Despite that, lesser effort has been expended in exploring the effects of in-plane magnetic fields in QWs.…”

Spin–orbit interaction and magnetic field effects on the energy dispersion of double quantum wire

“…Several theoretical and experimental works investigated the effects of external fields and spin-orbit coupling on the electronic and transport properties in low-dimensional systems [31][32][33][34][35][36][37][38][39][40][41][42]. Mireles and Kirczenow [43] researched the ballistic spin-transport properties of quasi-one-dimensional wires in the presence of the Rashba spin-orbit interaction, Governale and Zülicke [44] presented the effect of Rashba spin-orbit coupling on the band structure, spin accumulation and transport properties of quantum wires.…”