There is a great desire to develop the high-efficient anodes materials for Li batteries,which require not only large capacity but also high stability and mobility.In this work,the phosphorene/graphene heterostructure(P/G)was carefully explored based on first-principles calculations.The binding energy of Li on the pristine phosphorene is relatively weak(within 1.9 eV),whereas the phosphorene/graphene heterostructure(P/G)can greatly improve the binding energy(2.6 eV)without affecting the high mobility of Li within the layers.The electronic structures show that the large Li adsorption energy and fast diffusion ability of the P/G origin from the interfacial synergy effect.Interestingly,the P/G also displays ultrahigh stiffness(Cac = 350 N/m,Czz = 464 N/m),which can effectively avoid the distortion of the pristine phosphorene after the insertion of lithium.Thus,P/G can greatly enhance the cycle life of the battery.Owing to the high capacity,good conductivity,excellent Li mobility,and ultrahigh stiffness,P/G is a very promising anode material in Li-ion batteries(LIBs).