Anisotropy of the spin-orbit coupling driven by a magnetic field in InAs nanowires

We use the $\mathbf{k} \cdot \mathbf{p}$ theory and envelope function approach to evaluate Rashba spin-orbit coupling induced in a semiconductor nanowire by magnetic field at different orientations, taking explicitely into account prismatic symmetry of typical nano-crystals. make case for strongly spin-orbit-coupled InAs nanowires investigate anisotropy constant with respect direction. At sufficiently high fields perpendicular nanowire, 6-fold results from interplay between orbital effect nanowire. A back-gate potential, breaking native nano-crystal, couples inducing 2-fold anisotropy, being maximized or minimized depending on relative orientation two fields. also in-wire configurations, which shows trivial when is rotated off axis. However, isotropic restored if gate potential applied. Our calculations are shown agree recent experimental analysis vectorial character same nanomaterial, providing microscopic interpretation latter.