Abstract

We present an ab initio study of the electron-phonon interaction in surface electronic states on Be(10$\overline{1}$0). The calculations based on density-functional theory were carried out using a linear-response approach and a mixed-basis pseudopotential method. It is shown that the strength of the electron-phonon coupling is sensitive to the energy and momentum position of an electronic state and varies from 0.16 to 0.54. The difference in the electron-phonon interaction of two Shockley-type surface states at $\mathrm{A\ifmmode \bar{}\else \={}\fi{}}$ can be understood on the basis of their different energy positions in the projected band gap. Previous experiments addressing the electron-phonon coupling strength of these two surface states are discussed in light of our theoretical findings.

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