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Relativistic effects on the surface states of heavy diatomic crystals

1973; Elsevier BV; Volume: 64; Issue: 1 Linguagem: Inglês

10.1016/0031-8914(73)90117-1

1873-1767

U. Srinivasan, S.G. Davison,

Graphene research and applications

The quantal behaviour of relativistic electrons at the surfaces of heavy diatomic solids is investigated by solving the Dirac equation for a binary variant of the Kronig-Penney crystal potential, which is terminated by a vacuum region of constant potential. The presence of relativistic effects causes a downward shift of the surface-state energy levels and also guves rise to the relativistic Tamm state and Dirac surface-state classification. The existence conditions for these two kinds of states are such that, in the nonrelativistic limit, the former reduce to the familiar Tamm states, while the latter disappear.