Abstract
The linewidths (inverse lifetimes) Γe-e of Be(0001) and Mg(0001) surface electronic states are calculated as the projection of the imaginary part of the self-energy operator of a quasiparticle onto the state. The screened Coulomb interaction is calculated using a model potential, which takes into account the energy gap in the band structure and a surface state located in this gap. The wave functions and energies of electron states are calculated by a self-consistent film pseudopotential method. It is shown that Γe-e essentially depends on the position of the surface state in the Brillouin zone. The difference between the calculated values of Γe-e and those obtained in a homogeneous electron gas model is shown to be basically due to transitions from surface bands.
Similar content being viewed by others
References
S. D. Kevan, Phys. Rev. Lett. 50, 526 (1983).
J. Tersoff and S. D. Kevan, Phys. Rev. B 28, 4267 (1983).
N. V. Smith, Comments Condens. Matter Phys. 15, 263 (1992).
Angle-Resolved Photoemission. Theory and Current Applications, Ed. by S. D. Kevan (Elsevier, Amsterdam, 1992).
B. A. McDougall, T. Balasubramanian, and E. Jensen, Phys. Rev. B 51, 13891 (1995).
F. Theilmann, R. Matzdorf, G. Meister, and A. Goldmann, Phys. Rev. B 56, 3632 (1997).
A. Goldmann, R. Matzdorf, and F. Theilmann, Surf. Sci. 414, L932 (1998).
R. Matzdorf, Surf. Sci. Rep. 30, 153 (1998).
J. J. Quinn, Phys. Rev. 126, 1453 (1962).
S. LaShell, B. A. McDougall, and E. Jensen, Phys. Rev. Lett. 77, 3419 (1996).
J. Li, W.-D. Schneider, R. Berndt, et al., Phys. Rev. Lett. 81, 4464 (1998).
R. A. Bartynski, E. Jensen, T. Gustafsson, and E. W. Plummer, Phys. Rev. B 32, 1921 (1985).
T. Balasubramanian, E. Jensen, X. L. Wu, and S. L. Hulbert, Phys. Rev. B 57, R6866 (1998).
R. Matzdorf, A. Gerlach, F. Theilmann, et al., Appl. Phys. B 68, 393 (1999).
U. O. Karlsson, G. V. Hansson, P. E. S. Persson, and S. A. Flodström, Phys. Rev. B 26, 1852 (1982).
R. A. Bartynski, R. H. Gaylord, T. Gustafsson, and E. W. Plummer, Phys. Rev. B 33, 3644 (1986).
E. V. Chulkov, I. Sarria, V. M. Silkin, et al., Phys. Rev. Lett. 80, 4947 (1998).
P. M. Echenique and J. B. Pendry, J. Phys. C 11, 2065 (1978).
P. M. Echenique and J. B. Pendry, Prog. Surf. Sci. 32, 111 (1989).
D. A. Papaconstantopoulos, Handbook of the Band Structure of Elemental Solids (Plenum, New York, 1986).
E. V. Chulkov and V. M. Silkin, Solid State Commun. 58, 273 (1986).
E. V. Chulkov, V. M. Silkin, and E. N. Shirykalov, Surf. Sci. 188, 287 (1987).
E. W. Plummer and J. B. Hannon, Prog. Surf. Sci. 46, 149 (1994).
V. M. Silkin and E. V. Chulkov, Fiz. Tverd. Tela (St. Petersburg) 37, 2795 (1995) [Phys. Solid State 37, 1540 (1995)].
Ph. Hofmann, R. Stumpf, V. M. Silkin, et al., Surf. Sci. 355, L278 (1996).
L. Hedin and S. Lundqvist, Solid State Phys. 23, 1 (1969).
W. Kohn and L. J. Sham, Phys. Rev. A 140, 1133 (1965).
L. Hedin and B. I. Lundqvist, J. Phys. C 4, 2064 (1971).
V. M. Silkin, E. V. Chulkov, I. Yu. Sklyadneva, and V. E. Panin, Izv. Vyssh. Uchebn. Zaved. Fiz. 9, 56 (1984).
E. V. Chulkov, V. M. Silkin, and E. N. Shirykalov, Fiz. Met. Metalloved. 64, 213 (1987).
E. V. Chulkov, V. M. Silkin, and P. M. Echenique, Surf. Sci. 391, L1217 (1997).
E. V. Chulkov, V. M. Silkin, and P. M. Echenique, Surf. Sci. 437, 330 (1999).
A. G. Eguiluz, Phys. Rev. Lett. 51, 1907 (1983).
H. J. Monkhorst and J. D. Pack, Phys. Rev. B 13, 5188 (1976).
Author information
Authors and Affiliations
Additional information
__________
Translated from Fizika Tverdogo Tela, Vol. 42, No. 7, 2000, pp. 1334–1340.
Original Russian Text Copyright © 2000 by Silkin, Chulkov.
Rights and permissions
About this article
Cite this article
Silkin, V.M., Chulkov, E.V. The linewidth of surface states of simple metals. Phys. Solid State 42, 1373–1379 (2000). https://doi.org/10.1134/1.1131395
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1131395