Effect of Spin-Orbit Coupling On Mobility Edges In One-Dimensional Non-Hermitian Quasicrystals

Abstract

The investigations on delocalization-localization (DL) transitions in lower dimensions have been of interest to many researchers ever since the first work by Anderson on lattices with random disorders. In contrast to one-dimensional random lattices, where all the electronic states are localized even for an arbitrarily weak disorder, one-dimensional quasicrystals with nearest neighbour hopping shows a delocalization-localization transition at a critical disorder strength of the underlying quasiperiodic potential. However, there are no mobility edge in this system. Interestingly, the non-Hermitian one-dimensional quasicrystals having short range hopping, controlled by the exponential decay parameter p, shows existence of delocalization-localization transition as well as mobility edges. In this study, we explore the aforementioned one-dimensional quasicrystal in the presence of Rashba Spin Orbit (RSO) coupling, and demonstrate that with the increase in the RSO coupling strength the mobility edge behaves similar to the this system for larger value of the parameter p and without the RSO coupling.