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Nonlinear Optics

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Electronic Excitations at Metal Surfaces

Part of the book series: Physics of Solids and Liquids ((PSLI))

Abstract

Optical second harmonic generation (SHG) and sum frequency generation (SFG) provide a unique opportunity for studying surface and interface properties. After introducing the phenomenological theory of SHG at metal surfaces, we discuss recent microscopic evaluations of the nonlinear surface polarizability components. As before, we focus on the nonlinear response at simple metal surfaces. In these systems, the isotropic perpendicular component of the surface polarization is particularly important since it is determined by the gradients of the normal component of the electric field. A striking result of the TDLDA calculations is that, as in the linear case, the main spectral features are the threshold excitation and multipole surface plasmon. These excitations play an important role in SHG from Al and adsorbed alkali metal layers. The remarkable surface sensitivity of the perpendicular polarization can be seen if the metal is charged. We also discuss surfaces at which the inversion symmetry is broken in the parallel direction, for example, the (111) face of fcc crystals and stepped metal surfaces. The anisotropic component of the surface polarization in these systems can be as large as the main isotropic component.

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References

  • Adler, E., Phys. Rev. 134, A728 (1964).

    Article  ADS  Google Scholar 

  • Akulin, V. M., S. Goller, G. J. G. DaCosta, and F. Rebentrost, J. Phys. CM 4, 3857 (1992).

    Google Scholar 

  • Argyres, P., Phys. Rev. 97, 334 (1955).

    Article  ADS  Google Scholar 

  • Bloembergen, N., R. K. Chang, S. S. Jha, and C. H. Lee, Phys. Rev. 174, 813 (1968).

    Article  ADS  Google Scholar 

  • Budd, H. F., and J. Vannimenus, Phys. Rev. B 12, 509 (1975).

    Google Scholar 

  • Cheng, H., and P. B. Miller, Phys. Rev. 134, A683 (1964).

    Article  ADS  Google Scholar 

  • Chizmeshya, A., and E. Zaremba, Phys. Rev. B 37, 2805 (1988).

    Google Scholar 

  • Cirai, M., R. Del Sole, and L. Reining, Surf. Sci. 287/288, 693 (1993).

    Google Scholar 

  • Corvi, M., and W. L. Schaich, Phys. Rev. B 33, 3688 (1986).

    Google Scholar 

  • Falicov, L. M., Phys. Today 45, 46 (1992).

    Article  Google Scholar 

  • Ghahramani, E., D. J. Moss, and J. E. Sipe, Phys. Rev. Lett. 64 2815 (1990); Phys. Rev. B 43, 9700 (1991).

    Google Scholar 

  • Guyot—Sionnest, P., W. Chen, and Y. R. Shen, Phys. Rev. B 33, 8254 (1986).

    Google Scholar 

  • Guyot—Sionnest, P., A. Tadjedinne, and A. Liebsch, Phys. Rev. Lett. 64, 1678 (1990).

    Google Scholar 

  • Hicks, J. M., L. E. Urbach, E. W. Plummer, and H. L. Dai, Phys. Rev. Lett. 61, 2588 (1988).

    Article  ADS  Google Scholar 

  • Hu, C. D., J. Phys. CM 8, 6629 (1996).

    Google Scholar 

  • Hübner, W., Phys. Rev. B 42, 11553 (1990).

    Google Scholar 

  • Hübner, W., and K. H. Bennemann, Phys. Rev. B 40, 5973 (1989).

    Google Scholar 

  • Ishida, H., and A. Liebsch, Phys. Rev. B 42, 5505 (1990).

    Google Scholar 

  • Ishida, H., and A. Liebsch, Phys. Rev. B 50, 4834 (1994).

    Google Scholar 

  • Ishida, H., A. V. Petukhov, and A. Liebsch, Surf. Sci. 340, 1 (1995).

    Article  ADS  Google Scholar 

  • Janz, S., K. Pedersen, and H. M. van Driel, Phys. Rev. B 44, 3943 (1991a).

    Google Scholar 

  • Janz, S., D. J. Bottomley, H. M. van Driel, and R. S. Timsit, Phys. Rev. Lett. 66, 1201 (1991b).

    Article  ADS  Google Scholar 

  • Janz, S., and H. M. van Driel, Int. J. Nonl. Opt. Phys. 2, 1 (1993).

    Article  Google Scholar 

  • Jha, S. S., and C. S. Warke, Phys. Rev. 153, 751 (1967).

    Article  ADS  Google Scholar 

  • Jiang, M. Y., G. Pajer, and E. Burstein, Surf. Sci. 242, 306 (1991). Johnson, P. B., and R. W. Christy, Phys. Rev. B 6, 4370 (1972).

    Google Scholar 

  • Kiejna, A., Surf. Sci. 331-333, 1167 (1995).

    Article  ADS  Google Scholar 

  • Kittel, C., Phys. Rev. 83, A208 (1951).

    Article  Google Scholar 

  • Koopmans, B., M. G. Koerkamp, T. Rasing, and H. van den Berg, Phys. Rev. Lett. 74, 3692 (1995).

    Article  ADS  Google Scholar 

  • Krivoshchekov, G. V., and V. I. Stroganov, Soy. Phys. Solid State 11, 89 (1969); 11, 2151 (1970).

    Google Scholar 

  • Kuchler, M., and F. Rebentrost, Phys. Rev. Lett. 71, 2662 (1993); Phys. Rev. B 50, 5651 (1994).

    Google Scholar 

  • Langhoff, P. W., S. T. Epstein, and M. Karplus, Rev. Mod. Phys. 44, 602 (1972).

    Article  MathSciNet  ADS  Google Scholar 

  • Liebsch, A., Phys. Rev. Lett. 43, 1431 (1979).

    Article  ADS  Google Scholar 

  • Liebsch, A., Phys. Rev. Lett. 61, 1233 (1988).

    Article  ADS  Google Scholar 

  • Liebsch, A., Phys. Rev. B 40, RC 3421 (1989).

    Google Scholar 

  • Liebsch, A., and W. L. Schaich, Phys. Rev. B 40, 5401 (1989).

    Google Scholar 

  • Liebsch, A., in Condensed Matter Physics Aspects of Electrochemistry, M Tosi and A. A. Kornyshev, eds. ( World Scientific, Singapore, 1991 ), 274.

    Google Scholar 

  • Liljenvall, H. G., and A. G. Mathewson, J. Phys. C Metal Phys. Suppl. 3, 5341 (1970).

    Google Scholar 

  • Lindgren, S. A., and L. Walldén, Phys. Rev. B 45, 6345 (1992).

    Google Scholar 

  • Maytorena, J. A., W. L. Mochân, and B. S. Mendoza, Phys. Rev. B 51, 2556 (1995).

    Google Scholar 

  • Maytorena, J. A., B. S. Mendoza, and W. L. Mochân, to be published (1997).

    Google Scholar 

  • Mendoza, B. S., and W. L. Mochân, Phys. Rev. B 53, 4999 (1996).

    Google Scholar 

  • Mochân, W. L., and B. S. Mendoza, J. Phys. CM 5, A183 (1993).

    Google Scholar 

  • Murphy, R., M. Yeganeh, K. J. Song, and E. W. Plummer, Phys. Rev. Lett. 63, 318 (1989).

    Article  ADS  Google Scholar 

  • Oppeneer, P. M., T. Maurer, J. Sticht, and J. Kübler, Phys. Rev. B 45, 10924 (1992).

    Google Scholar 

  • Pan, R. P., H. D. Wei, and Y. R. Shen, Phys. Rev. B 39, 1229 (1989).

    Google Scholar 

  • Patterson, C. H., D. Weaire, and J. F. McGilp, J. Phys. CM 4, 4017 (1992).

    Google Scholar 

  • Persson, B. N. J., and L. H. Dubois, Phys. Rev. B 39, 8220 (1989).

    Google Scholar 

  • Petukhov, A. V., Surf. Sci. 347, 143 (1996).

    Article  ADS  Google Scholar 

  • Petukhov, A. V., and A. Liebsch, Surf. Sci. 294, 381 (1993).

    Article  ADS  Google Scholar 

  • Petukhov, A. V., and A. Liebsch, Surf. Sci. 320, L51 (1994).

    Article  Google Scholar 

  • Petukhov, A. V., and A. Liebsch, Surf. Sci. 331/333, 1335 (1995a).

    Google Scholar 

  • Petukhov, A. V., and A. Liebsch, Surf Sci. 334, 195 (1995b).

    Article  ADS  Google Scholar 

  • Pustogowa, U., W. Hübner, and K. H. Bennemann, Phys. Rev. B 49, 10031

    Google Scholar 

  • Quail, J. C., and H. J. Simon, Phys. Rev. B 31, 4900 (1985).

    Google Scholar 

  • Reider, G. A., and T. F. Heiz, in Electromagnetic Waves: Recent Developments in Research; vol. 2: Photonic Probes of Surfaces, P. Halevi, ed. ( Elsevier, Amsterdam, 1995 ), p. 413.

    Google Scholar 

  • Reif, J., C. Rau, and E. Matthias, Phys. Rev. Lett. 71, 1931 (1993).

    Article  ADS  Google Scholar 

  • Reiff, S., W. Drachsel, and J. H. Block, Surf. Sci. 304, L420 (1994).

    Article  Google Scholar 

  • Reim, W., and J. Schoenes, in Ferromagnetic Materials, E. P. Wohlfahrt and K. H. J. Buschow, eds. ( North-Holland, Amsterdam, 1990 ), vol. 5, p. 133.

    Google Scholar 

  • Reining, L., R. Del Sole, M. Cini, and J. G. Ping, Phys. Rev. 50, 8411 (1994).

    ADS  Google Scholar 

  • Richmond, G. L., J. M. Robinson, and V. L. Shanon, Prog. Surf. Sci. 28, 1 (1988).

    Article  ADS  Google Scholar 

  • Rudnick, J., and E. A. Stern, Phys. Rev. B 4, 4272 (1971).

    Google Scholar 

  • Schaich, W. L., Surf. Sci. 318, L1157 (1994).

    Article  ADS  Google Scholar 

  • Schaich, W. L., unpublished (1995).

    Google Scholar 

  • Schaich, W. L., and A. Liebsch, Phys. Rev. B 37, 6187 (1988).

    Google Scholar 

  • Schaich, W. L., and B. S. Mendoza, Phys. Rev. B 45, 14279 (1992).

    Google Scholar 

  • Senatore, G., and K. R. Subbaswamy, Phys. Rev. A 35, 2440 (1987).

    Google Scholar 

  • Shen, Y. R., The Principles of Nonlinear Optics ( Wiley, New York, 1984 ).

    Google Scholar 

  • Shen, Y. R., Nature 337, 519 (1989).

    Article  ADS  Google Scholar 

  • Shen, Y. R., Surf. Sci. 299-300, 551 (1994).

    Article  ADS  Google Scholar 

  • Sipe, J. E., V. C. Y. So, M. Fukui, and G. I. Stegeman, Phys. Rev. B 21, 4389 (1980).

    Google Scholar 

  • Sipe, J. E., D. J. Moss, and H. M. van Driel, Phys. Rev. B 35, 1129 (1987).

    Google Scholar 

  • Smith, N. V., Phys. Rev. B 2, 2840 (1970).

    Google Scholar 

  • Song, K. J., D. Heskett, H. L. Dai, A. Liebsch, and E. W. Plummer, Phys. Rev. Lett. 61, 1380 (1988).

    Article  ADS  Google Scholar 

  • Straub, M., R. Vollmer, and J. Kirschner, Phys. Rev. Lett. 77, 743 (1996).

    Article  ADS  Google Scholar 

  • Sturm, K., and L. E. Oliveira, Phys. Rev. B 30, 4352 (1984).

    Google Scholar 

  • Tarriba, J., and W. L. Mochân, Phys. Rev. B 46, RC 12902 (1992).

    Google Scholar 

  • Tom, H. W. K., T. F. Heinz, and Y. R. Shen, Phys. Rev. Lett. 51, 1983 (1983).

    Article  ADS  Google Scholar 

  • Torn, H. W. K., C. M. Mate, X. D. Zhu, J. E. Crowell, T. F. Heinz, G. A. Somorjai and Y. R. Shen, Surf. Sci. 172, 466 (1986).

    Article  ADS  Google Scholar 

  • Urbach, L. E., K. L. Percival, J. Hicks, E. W. Plummer, and H. L. Dai, Phys. Rev. B 45, 3769 (1992).

    Google Scholar 

  • Wang, C. S., J. M. Chen, and J. R. Bower, Opt. Commun. 8, 275 (1973).

    Article  ADS  Google Scholar 

  • Wang, J., Z. C. Ying, and E. W. Plummer, unpublished (1994).

    Google Scholar 

  • Wang, J., Z. C. Ying, and E. W. Plummer, Phys. Rev. B 51, 5590 (1995).

    Google Scholar 

  • Weber, M., and A. Liebsch, Phys. Rev. B 35, 7411 (1987a).

    Google Scholar 

  • Weber, M., and A. Liebsch, Phys. Rev. B 36, 6411 (1987b).

    Google Scholar 

  • Weinert, M., private communication (1994).

    Google Scholar 

  • Westin, E., and A. Rosen, Surf. Sci. 269/270, 77 (1991).

    Google Scholar 

  • Wierenga, H. A., W. de Jong, M. W. J. Prins, T. Rasing, R. Vollmer, A. Kirilyuk, H. Schwabe, and J. Kirschner, Phys. Rev. Lett. 74, 1462 (1995).

    Article  ADS  Google Scholar 

  • Wijers, C. M. J., Th. Rasing, and R. W. J. Hollering, Solid State Commun. 85, 233 (1993).

    Article  ADS  Google Scholar 

  • Wong, E. K. L., and G. L. Richmond, J. Chem. Phys. 99, 5500 (1993).

    Article  ADS  Google Scholar 

  • Ying, Z. C., J. Wang, G. Andronica, J. Q. Yao, and E. W. Plummer, J. Vac. Sci. Technol. A 11, 2255 (1993).

    Article  ADS  Google Scholar 

  • Zangwill, A., J. Chem. Phys. 78, 5926 (1983).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Forschungszentrum Jülich, Jülich, Germany

    Ansgar Liebsch

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  1. Ansgar Liebsch
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© 1997 Springer Science+Business Media New York

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Liebsch, A. (1997). Nonlinear Optics. In: Electronic Excitations at Metal Surfaces. Physics of Solids and Liquids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-5107-9_5

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  • DOI: https://doi.org/10.1007/978-1-4757-5107-9_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-3271-6

  • Online ISBN: 978-1-4757-5107-9

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