We investigate the magnetotransport properties of a two-dimensional electronic system with unconventional Rashba spin-orbit coupling. We obtain the Landau levels analytically and find that intra-spin and/or inter-spin Landau-level crossing occurs. We compute the longitudinal conductivity and quantum Hall conductivity using the Kubo formalism based on linear response theory. We find that the usual Shubnikov-de Haas (SdH) oscillation in longitudinal conductivity appears, which is purely spin polarized, provided the Fermi level is placed suitably. Interestingly, we observe a beating pattern in the SdH oscillation in the intra-spin branches, which arises due to the superposition of SdH oscillations corresponding to two bands in each spin branch. This is contrary to the conventional Rashba system, where such beating is due to the superposition of SdH oscillation corresponding to two spin-branches. On the other hand, we note that quantum-Hall conductivity exhibits usual quantization in units of $e^2/h$. However, the Landau-level crossing gives rise to the double jump in the Hall conductivity if the Fermi level is placed precisely at the crossing point.

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• Electrical properties
• Quantum Hall effect
• 2-dimensional systems
• Linear response theory