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A periodic arrangement of 2D conducting planes is known to host a (bulk)plasmon dispersion that interpolates between the typical, gapped behavior of 3Dmetals and a gapless, acoustic regime as a function of the out-of-planewavevector. The semi-infinite system -- the configuration relevant to ElectronEnergy Loss Spectroscopy (EELS) in a reflection geometry, as in High ResolutionEELS (HREELS) -- is known to host a surface plasmon that ceases to propagatebelow a cutoff wavevector. As the f-sum rule requires a finite response whetheror not there exist sharp excitations, we demonstrate that what remains in thesurface loss function -- the material response probed by HREELS -- is thecontribution from the (bulk) plasmon of the infinite system. In particular, weprovide a one-to-one mapping between the plasmon continuum and the spectralweight in the surface loss function. In light of this result, we suggest thatHREELS be considered a long wavelength probe of the plasmon continuum inlayered materials.

Probing the bulk plasmon continuum of layered materials through electron energy loss spectroscopy in a reflection geometry