A systematic density functional theory study of the electronic structure of bulk and (001) surface of transitionmetals carbidesThe effect of in-plane lattice strain on the atomic and electronic properties of low-index transition metal ͑M = Ti, Nb, and Ta͒ carbide surfaces is studied by first-principles molecular dynamics calculations using a pseudopotential plane-wave technique. The most stable cubic rock-salt phase is considered for carbides. The first-principle study of various ͓͑001͒, ͑110͒, and metal-terminated ͑111͔͒ carbide surfaces reveals that both compressive and tensile strains strongly affect surface relaxation and electronic properties ͑work function values and band structures͒. The most stable ͑001͒ carbide surfaces exhibit rumpling between transition metal and carbon atoms in the topmost surface layers, which depends on the applied strain. The work function ͑WF͒ for the metal-terminated ͑111͒ surfaces varies monotonically, rather strongly depending on the applied strain ͑the range of variation reaches about 1 eV͒, while the WF for the ͑001͒ surface varies nonmonotonically with a much smaller resulting variation over the wide range of the applied strains. Surface energy calculations show that surface stability is also governed by the applied strain.
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