Two-Photon Ionization of Silver Clusters

In this paper, we calculate the two-photon ionization
(TPI) cross-section for pump-probe scheme in Ag neutral cluster. The
pump photon energy is assumed to be close to the surface plasmon
(SP) energy of cluster in dielectric media. Due to this choice, the
pump wave excites collective oscillations of electrons-SP and the
probe wave causes ionization of the cluster. Since the interband
transition energy in Ag exceeds the SP resonance energy, the main
contribution into the TPI comes from the latter. The advantage of Ag
clusters as compared to the other noble metals is that the SP
resonance in silver cluster is much sharper because of peculiarities of
its dielectric function. The calculations are performed by separating
the coordinates of electrons corresponding to the collective
oscillations and the individual motion that allows taking into account
the resonance contribution of excited SP oscillations. It is shown that
the ionization cross section increases by two orders of magnitude if
the energy of the pump photon matches the surface plasmon energy
in the cluster.





References:
[1] G. Ramakrishna, O. Varnavsky, J. Kim, D. Lee, and T. Goodson,
Quantum-Sized Gold Clusters as Efficient Two-Photon Absorbers. J.
Am. Chem. Soc., vol. 130, pp. 5032—5038, Mar. 2008.
[2] S. K. Avetisyan, A. O. Melikyan, H. R Minassian. Polarization
Dependence of Two-Photon Absorption in GaAs/Ga1-xAlxAs Quantum
Well Structure. J. Appl. Phys. vol. 80, pp.301-303, Feb. 1996.
[3] I. E. Protsenko, A.V. Uskov, Photoemission from metal nanoparticles.
Physics-Uspekhi, vol. 55, pp. 508–518, May 2012. [4] J. G. Endriz, W. E. Spicer, Experimental Evidence for the Surface
Photoelectric Effect in Aluminum. Phys. Rev. Lett. vol. 27, pp. 570-573,
Aug. 1971.
[5] D. Bohm, D. Pines, A Collective Description of Electron Interactions:
III. Coulomb Interactions in a Degenerate Electron Gas, Phys. Rev. vol.
92, pp. 609-625, Nov. 1953.
[6] U. Kreibig, M. Vollmer, Optical Properties of Metal Clusters (Springer,
Berlin, 1995).
[7] J. D. Jackson, Classical Electrodynamics. John Wily &Sons, 1999.
[8] P. B. Johnson and R.W. Christy, Optical Constants of the Noble Metals.
Phys. Rev. B vol. 6, pp.4370-4379, Dec.1972.
[9] P. Biagioni, M. Celebrano, M. Savoini et al. Dependence of the twophoton
photoluminescence yield of gold nanostructures on the laser
pulse duration. Phys. Rev. B vol. 80, pp. 045411/1-5, Jul. 2009.
[10] L. D. Landau and E. M. Lifshitz, Quantum Mechanics. Non-relativistic
Theory. Pergamon Press, 1977.
[11] Reinhard, B. M.; Siu, M.; Agarwal, H.; Alivisatos, A. P.; Liphardt, J.
Calibration of Dynamic Molecular Rulers Based on Plasmon Coupling
between Gold Nanoparticles Nano Lett. vol. 5, pp. 2246-2252, Nov.
2005.
[12] G. Alameddin, J. Hunter, D. Cameron and M. M. Kappes, Electronic and
geometric structure in silver clusters. Chem. Phys. Lett. vol. 192,
pp.122-128, Apr. 1992.