Effective k.p models for phosphorene including the interband spin-orbit coupling

Phosphorene is a two-dimensional semiconductor with direct band gap and promising spin-dependent properties[1,2]. In this study, we investigate effective k.p models for phosphorene including the interband spin-orbit coupling[3], a term previously overlooked in the literature. The inclusion of such interband spin-orbit coupling provides a reliable description of the anisotropic dipole transition and of the effective g-factors. We also investigate excitonic effects and found very good agreement with reported results in the literature. To obtain reliable k.p parameters we use a robust fitting approach that takes into account not only the band structure but also the k-dependence of the effective mass. With the increasing interest in two-dimensional systems, our effective k.p Hamiltonians can be combined with other already available models to investigate novel physical phenomena in van der Waals heterostructures. [1] M. Kurpas, M. Gmitra and J. Fabian, PRB 94, 155423 (2016). [2] A. Avsar et al., Nat. Phys. 13, 888 (2017). [3] P. E. Faria Junior et al., PRB 93, 235204 (2016).