Acoustic surface plasmons in the noble metals Cu, Ag, and Au

Physics – Condensed Matter – Materials Science

Scientific paper

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8 pages, two columns, 7 figures, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.72.115435

We have performed self-consistent calculations of the dynamical response of the (111) surface of the noble metals Cu, Ag, and Au. Our results indicate that the partially occupied surface-state band in these materials yields the existence of acoustic surface plasmons with linear dispersion at small wave vectors. Here we demonstrate that the sound velocity of these low-energy collective excitations, which had already been predicted to exist in the case of Be(0001), is dictated not only by the Fermi velocity of the two-dimensional surface-state band but also by the nature of the decay and penetration of the surface-state orbitals into the solid. Our linewidth calculations indicate that acoustic surface plasmons should be well defined in the energy range from zero to $\sim 400$ meV.

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