Possible Instability of the Fermi sea of metals against surface plasma oscillations

Abstract

We derive a generic formalism for studying the energy conversion processes in bounded metals. Using this formalism we show that in the collision-less limit the Fermi sea of metals should experience an instability against surface plasma oscillations, which opens for the latter an intrinsic self-ampli cation channel. The origin of the instability is clari ed as arising from novel effects resulting from the translation symetry breaking due to the very presence of surface. The ampli cation rate of this channel is analytically evaluated on the basis of energy conservation and the effects of losses are discussed. In particular, the unique role played by the surface in energy conversion is unveiled. In contrast with common wisdom and in line with observations, Landau damping is shown as always overcompensated and therefore poses no serious issues in sub-wavelength plasmonics.

Published version, 10 pages, 2 figs

References in corpus (8)

• Theory of surface plasmons and surface-plasmon polaritons
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Cited by in corpus (3)

• A resolution of the problem of additional boundary conditions
• On the electrical conductivity of metals with a rough surface
• Hydrodynamic effects on the energy transfer from dipoles to metal slab