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

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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4 figures. Submitted to Superlattices and Microstructures

Scientific paper

10.1016/j.spmi.2004.03.068

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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