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We point out that the electric field formed in the surface inversion layer in InAs nanowires leads to effective magnetic fields, due to the Rashba effect, that are mostly aligned along the wire axis, i.e., parallel to the external magnetic field B. While this situation leads to some similarities in spin splitting between the Zeeman and Rashba effects, extensive theoretical simulations revealed that large and small spin splittings should take place alternately at Fermi energies with increasing magnetic field B, as a result of the competition between the Rashba and Zeeman spin splittings. We suggest that an experimental detection of such characteristics should bring up quantitative insights into the relative strengths between the Rashba and Zeeman magnetic fields

Spin dependent electronic structure and level crossings as a function of magnetic field in InAs nanowire