Goos-Hänchen-like effect in a gapped 8-Pmmn borophene-superlattice

Abstract

The spin and valley-dependent Goos-Hänchen-like effect is studied theoretically in a gapped 8-Pmmn borophene superlattice under the external Rashba interaction. It has been observed that the Goos-Hänchen shift value for incident electrons with spin rotation is different from that without spin rotation. It is found that the Goos-Hänchen shift can be easily tuned by the Rashba strength, the number of the superlattice barriers, and the superlattice direction. The Goos-Hänchen shift is an oscillatory function of the Rashba and the energy gap strength, and the oscillatory behavior becomes clearer as the number of superlattice barriers increases. The spin-dependent Goos-Hänchen shift value and sign can be easily adjusted by the energy gap strength. With the increase in the number of superlattice barriers, the number of resonance peaks in the Goos-Hänchen shift increases. The Fano resonances can be observed in a gapped borophene superlattice under the external Rashba interaction.