Magnetoelectric subbands and eigenstates in the presence of Rashba and Dresselhaus spin–orbit interactions in a quantum wire

Abstract

We derive the eigenenergies and eigenstates of electrons in a quantum wire subjected to an external magnetic field. These are calculated in the presence of spin orbit interactions arising from the Rashba (structural inversion asymmetry) and Dresselhaus (bulk inversion asymmetry) effects. We consider three cases: the external magnetic field is oriented (i) along the axis of the wire, (ii) perpendicular to the axis but parallel to the electric field associated with structural inversion asymmetry (Rashba effect), and (iii) perpendicular to the axis as well as the electric field. In all cases, the dispersions of the eigenenergies are non-parabolic and the subbands do not have a fixed spin quantization axis (meaning that the spin polarization of the electron is wavevector dependent). Except in the second case, the dispersion diagrams are also, in general, asymmetric about the energy axis. *

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“…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.…”

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“…The Rashba interaction is caused by structural inversion asymmetry due to the triangular potential well confining carriers in the plane of the electron gas, while the Dresselhaus interaction is caused by bulk inversion asymmetry in non-centrosymmetric materials. The Dresselhaus interaction, unlike the Rashba interaction, depends on the electron wavefunctions and is therefore different in different subbands [8] the n-th subband . Note that θ n is subband dependent since α n is subband dependent.…”