Recent advances in the fabrication of monolayer black phosphorus (MBP) call for a detailed understanding of the physics underlying the electronic structure and related modulation by the method of strain engineering. Here, we present an analytic study to explore the uniaxial strain effect of band structure in MBP based on the first-principles calculations and atomic-bond-relaxation correlation mechanism. It was found that the stress responses of MBP show evident anisotropy due to different edge type structures. The electronic band structure of MBP can be tuned by the applied strain. Moreover, we propose an analytic expression for the variation of the bandgap induced by the uniaxial strain from the perspective of atomistic origin, which suggests an effective bridge between the measurable quantities and the atomic bond identities of MBP. The underlying mechanism on the strain-dependent band offset can be attributed to the variation of crystal potential induced by the changes of bond length, strength, and ang...
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