▎ 摘　　要

We investigated the role of polar and metallic substrates on the collective excitations of a semi-infinite layered graphene structures within the self-consistent field approximation. The surface plasmon dispersion in semi-infinite stack of graphene layers is indeed modified via Coulomb interaction with the metallic or polar substrate. At long wavelengths (q -> 0), these new surface-polariton are situated above bulk plasmon band of the stack with an infinite number of layers, and they have a very long lifetime. However at large momentum transfer the collective surface modes being sensitive to decay into a continuum plasmon band or by emitting an electron hole pair excitation and thus are subject to Landau damping due of the relativistic Dirac nature of charge carriers in graphene. (C) 2016 Elsevier Ltd. All rights reserved.