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Based on the density functional calculations,the structural and electronic properties of the WS2/graphene heterojunction under different strains are investigated.The calculated results show that unlike the free mono-layer WS2,the monolayer WS2 in the equilibrium WS2/graphene heterojunctionis characterized by indirect band gap due to the weak van der Waals interaction.The height of the schottky barrier for the WS2/graphene heterojunction is 0.13 eV,which is lower than the conventional metal/MoS2 contact.Moreover,the band properties and height of schottky barrier for WS2/graphene heterojunction can be tuned by strain.It is found that the height of the schottky barrier can be tuned to be near zero under an in-plane compressive strain,and the band gap of the WS2 in the heterojunction is tued into a direct band gap from the indirect band gap with the increasing schottky barrier height under an in-plane tensile strain.Our calculation results may provide a potential guidance for designing and fabricating the WS2-based field effect transistors.