Evidence for forward scattering and coupling to acoustic phonon modes in high-T${}_c$ cuprate superconductors

Abstract

Recent laser angle-resolved photoemission spectroscopy studies have established the presence of a new kink in the low-energy nodal dispersion of Bi${}_2$Sr${}_2$CaCu${}_2$O$+8+\delta$ (Bi-2212). The energy scale (~8-15 meV) of this kink appears below the maximum of the superconducting gap ${\delta }_0$. Therefore it is difficult to interpret this feature in terms of the usual coupling to a sharp dispersionless mode. In this paper we examine electron-phonon coupling to the in-plane acoustic phonon branch arising from the modulation of the screened Coulomb potential. We demonstrate that such a coupling has a strong forward scattering peak, and as a consequence, a kink occurs in the dispersion at an energy scale shifted by the local gap $\delta (k)$. In addition, considerations for the reduction of screening with underdoping naturally explains the observed doping dependence of the low-energy kink. These results point to a strong coupling to the acoustic branch which is peaked in the forward scattering direction and has important implications for transport and pairing in the high-T${}_c$ cuprates.

4.5 pages, 4 figures, Submitted to PRL

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