Abstract
The inverse microscopic dielectric function of Li metal is evaluated within the time dependent local density approximation (TLDA) using one-electron energies and wave-functions obtained by SCF band structure calculations. Even at larger values of transferred momentum the influence of exchange and correlation is found to be quite small. Local fields are approximated by considering all elements of the dielectric matrix corresponding to the first and second shell of the reciprocal lattice vectors. Their influence is found to be orientation-dependent but in most cases quite small. However, in some cases they even cause a change of the shape of the inverse dielectric function. Our theoretical results agree quite well with measurements of the dynamic structure function by use of inelastic X-ray scattering with transferred energy up to 18 eV. Unrealistic oscillations at still higher energies as well as the narrow width of the peaks indicate the limits of a one-particle scheme.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Kunz, C.: Phys. Lett.15, 312 (1965)
Raether, H.: In: Excitations of Plasmons and Interband Transitions by Electrons. Höhler, G., Nickison, E.A. (eds.) Vol. 88 of Springer Tracts in Modern Physics. Berlin: Springer 1980
Alexandropoulos, N.G., Cohen, G.G., Kuriyma, M.: Phys. Rev. Lett.33, 699 (1974)
Eisenberger, P., Platzman, P.M., Schmidt, D.: Phys. Rev. Lett.34, 18 (1975)
Priftis, G.D., Boviatsis, J., Vradis, A.: Physics Letters68A, 482 (1978)
Schülke, W., Nagasawa, H., Mourikis, S.: Phys. Rev. Lett.52, 2065 (1984)
Pandey, K.C., Platzman, P.M., Eisenberger, P., Foo, E-Ni: Phys. Rev. B9, 5046 (1974)
Foo, E-Ni, Hopfield, J.J.: Phys. Rev.173, 635 (1968)
Schülke, W., Nagasawa, H., Mourikis, S., Lanzki, P.: Phys. Rev. B33, 6744 (1986)
Stott, M.J., Zaremba, E.: Phys. Rev. A23, 12 (1979)
Zangwill, A., Soven, P.: Phys. Rev. A23, 1561 (1979)
Dobson, J.F., Rose, J.H.: J. Phys. C15, 7429 (1982)
Gross, E.K.U., Kohn, W.: In: Many-Fermion Systems. Trickey, S.B. (ed.), Adv. Quant. Chem.21, 255 (1990)
Bross, H., Belhachemi, O., Mekki, B., Seoud, A.E.H.: J. Phys. C2, 3919 (1990)
Pines, D., Nozières, P.: The Theory of Quantum Liquids, Vol. 1. New York: Benjamin 1966
Bross, H.: Phys. Kondens. Mat.3, 119 (1964)
Bross, H.: Helv. Phys. Acta41, 717 (1968)
Bross, H., Bohn, G., Meister, G., Schubö, W., Stöhr, H.: Phys. Rev. B2, 3098 (1970)
Bross, H., Stryczek, R.A.: Phys. Status Solidi (b)144, 675 (1987)
Hedin, L., Lundqvist, B.I.: J. Phys. C4, 206 (1971)
Gunnarsson, O., Lundqvist, B.I.: Phys. Rev. B13, 4274 (1976)
Seoud, A.E.H.: PhD Thesis, University of Munich 1983
Belhachemi, O.H.: PhD Thesis, University of Munich 1986
Mekki, B.: PhD Thesis, University of Munich 1986
Bross, H.: J. Phys. F8, 2631 (1978)
Lindhard, J.: K. Dan. Vidensk. Selsk. Mat.- Fys. Medd.28, 8, 1, (1954)
Illini, T.: PhD Thesis, University of Munich 1991
Burkel, E.: Inelastic Scattering of X-Rays with Very High Energy Resolution. Höhler, G. (ed.), Vol. 125 of Springer Tracts in Modern Physics. Berlin: Springer 1991
Burkel, E.: Z. Naturforsch.48a, 289 (1993)
Sturm, K., Oliveira, L.E.: Phys. Rev. B40, 3672 (1989)
Bross, H., Bohn, G.: Z. Phys. B20, 261 (1975)