The influence of strain on the energy band structures of phosphorene nanoribbons

The electric properties of the strained phosphorene and phosphorene nanoribbons are investigated using the tight-binding model. The influence of the strain on the phosphorene nanoribbons with different edges subjected to different type and magnitude of strains are examined. The results show that the bandgap could be narrowed by compressive in-plane strain or by tensile vertical strain. The influence on the edge states in the zigzag-zigzag phosphorene nanoribbons are also highlighted. It is found that the increasing energy difference of its two edge states always accompanies with the decreasing bandgap induced by the strain. The reasons causing the change of energy band structure are studied based on the numerical calculations.