“…An electron-phonon interaction Hamiltonian of Frohlich-Pekar type for a polar slab in vacuum was discussed already in [5] (but without considering electron subsystem polarization), and was completed by taking electron polarization into account [6]. I n [7] a Hamiltonian for the contact of two semi-infinite polar and non polar media was derived basing on the same approach as in [5, 61.…”
“…An electron-phonon interaction Hamiltonian of Frohlich-Pekar type for a polar slab in vacuum was discussed already in [5] (but without considering electron subsystem polarization), and was completed by taking electron polarization into account [6]. I n [7] a Hamiltonian for the contact of two semi-infinite polar and non polar media was derived basing on the same approach as in [5, 61.…”
“…In our application, |ψ(−∞) is given as the vacuum state of the plasmon field, and its time evolution can be carried out exactly [20,21]. The complex self-energy of the interacting PE can now be calculated as…”
Section: -2mentioning
confidence: 99%
“…where b ( †) Q and a ( †) k are annihilation (creation) operators for bulk and surface plasmons, respectively [15,20,22].…”
Section: Dynamic Image Potentialmentioning
confidence: 99%
“…II, we present the underlying theoretical model to calculate the dynamic self-image potential of a PE. In this section, we use secondquantization techniques to account for the creation and destruction of surface and bulk plasmon modes, closely following previous theoretical work [15,18,20,22,26]. In Sec.…”
Section: Introductionmentioning
confidence: 99%
“…The dependence of the dynamic wake potential on the charge state and velocity of the wake-inducing particle has been studied with regard to energy loss [20,21], electronexchange and -correlation contributions [22], electron emission in ion-surface collisions [23], and electronic selfinteraction effects on PE spectra [15]. While these examples emphasize the influence of the solid's dielectric response, they do not resolve the ultrafast electronic response in the condensed-matter-plus-charged-particle system in time.…”
The release of conduction-band electrons from a metal surface by a subfemtosecond extreme ultraviolet (XUV) pulse and their propagation through the solid provoke a dielectric response in the solid that acts back on the photoelectron wave packet. We calculated the (wake) potential associated with this photoelectron self-interaction in terms of bulk and surface plasmon excitations and show that it induces a considerable, XUV-frequencydependent temporal shift in laser-streaked XUV photoemission spectra, suggesting the observation of the ultrafast solid-state dielectric response in contemporary streaked photoemission experiments.
During the photoemission process, whereby the solid absorbs a photon and emits an electron, other excitations such as plasmons or phonons may be created. A calculation is presented of t h e excitation probability of both the surface and bulk form of these excitations. It is shown that electrons which originate near the surface excite mostly surface excitations, whereas those which originate deeper inside the solid have 8 higher probability of making bulk modes. The excitation rates for the hole are also included in a model which assumes that the hole is localized.Dans le processus de photoemission, lorsque le solide absorbe une photon ou un electron, d'autres excitations, comme des plasmons ou des phonons, 6tre crbes. On prhsente un calcul de probabilith d'excitation de ces modes aussi bien a la surface qu'h l'intbrieur du solide. On demontre que les electrons qui ont leur origine prhs de la surface provoquent, pour la plupart, les excitations de surface, tandis que ceux qiii ont une origine PIUS profonde de I'interieur de la solide, ont une probabilith plus grande de provoquer des modes internes. Les taux d'excitation du trou sont enclus egalement dans un modhle qui suppose que le trou est localisb.
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