Abstract
The approach of A M Brodsky and Yu Ya Gurevich is generalized to photoemission from metal nanoparticles at the excitation of a localized plasmon resonance (LPR) in them. The cross section and the probability amplitude of photoemission from a nanoparticle are obtained analytically, taking into account the LPR excitation and the electromagnetic field and photoelectron mass changes at the metal-environment interface. An increase by two orders of magnitude in the photocurrent from a layer of Au nanoparticles to silicon compared to a bulk Au layer is predicted due to an increase in the electromagnetic field strength under the excitation of LPR and due to a significant part of the nanoparticle surface being nonparallel to the incident field polarization. Practicable applications of the results include improving the performance of photocells and photodetectors, and probably reducing the minimum photoeffect time.
Highlights
It is well-known that oscillations of electron density of metal nanoparticles have resonant frequency in the visible or in the near IR spectral region: this is the localized plasmon resonance (LPR)
We present results for the case of the surface photo-emission from metal nanoparticle at the excitation of LPR and show, as an example, that the photo-emission from metal nano-particles into p-doped Si is much more efficient that the photo-emission from the bulk metal film
The probability of the photoemission of the electron in the case of the step potential in the interface and with account for the jumps of the electron effective mass and electromagnetic field (EMF) in the interface is determined by Eq (17), where C0 is given by Eq (18) and expressions for U(x) and Kdis(x) are determined by Eqs. (19) and (20), respectively
Summary
It is well-known that oscillations of electron density of metal nanoparticles have resonant frequency in the visible or in the near IR spectral region: this is the localized plasmon resonance (LPR). Calculation shows the two order of magnitude increase of the photoemission current from gold nanoparticles to p-doped Si in comparison with the photocurrent from continues film of Au. We generalize the result of (Brodsky, 1973) for the probability of photoemission by taking into account changes (jumps) of EMF and electron mass at the surface of the nanoparticle. It is shown, for example, that the increase of the cross-section of the photoemission is related with “concentration” of EMF and with changes of EMF and free electron mass on the surface of nano-particle.
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