Spin dependent Goos–Hänchen-like effect in a strained phosphorene superlattice

Abstract

Herein, we present a theoretical study on the Goos–Hänchen (GH)-like effect in a phosphorene superlattice in the presence of strain and an external Rashba spin-orbit interaction (ERSOI). The spin-up and spin-down electrons have different GH shifts and their separation can be tuned via the angle of incidence of the electrons, ERSOI strength, direction strain and strength of strain. The results show that the GH shift exhibits an oscillatory evolution with the ERSOI strength, barrier width, and strain strength. In addition, the GH shift can have negative as well as positive values, and the magnitude of the spin-dependent GH shift can be efficiently controlled by the number of superlattice barriers and mechanically. Interestingly, in a strained phosphorene superlattice under special conditions, the GH shift of the electrons with and without spin-flipping increases linearly by the barrier width, which can be related to the Hartman effect.