The Linewidth of Surface States of Simple Metals

V. M. Silkin and E. V. Chulkov

Departamento de Física de Materiales, Facultad de Quimica, Universidad del País Vasco/Fuskal Herrico Unibertsitatea,
Apdo. 1072 20018 San Sebastian/Donostia, Basque Country, Spain

Institute of Strength Physics and Materials Science, Siberian Division, Russian Academy of Sciences,
Akademicheskiframe0 pr. 8, Tomsk, 634021 Russia

e-mail: waxslavs@sqox01.sq.ehu.es

Received January 11, 2000

Abstract—The linewidths (inverse lifetimes) e–e of Be(0001) and Mg(0001) surface electronic states are cal-
culated 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 e–e essentially depends on the
position of the surface state in the Brillouin zone. The difference between the calculated values of e–e and those
obtained in a homogeneous electron gas model is shown to be basically due to transitions from surface bands.
© 2000 MAIK “Nauka/Interperiodica”.

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