We have observed the linear temperature dependence of the linewidth of surface states on Cu. These data allow the determination of a temperature coefficient for the phonon-hole coupling, which enters the linewidth as Γ=2π${\mathit{bk}}_{\mathit{BT}}$. For the s,p-like (Shockley) state at Γ¯ on Cu(111), we find b=0.137±0.015, in perfect agreement with earlier data of McDougall, Balasubramian, and Jensen [Phys. Rev. B 51, 13 891 (1995)]. The d-like (Tamm) state at M¯ on Cu(111) is characterized by a different b=0.085±0.015, which, however, agrees with the b=0.09±0.02 observed for a similar Tamm state on Cu(100). We suggest that the different spatial extent of the surface states is responsible for the different phonon-hole coupling. © 1996 The American Physical Society.

• Received 26 April 1996

DOI:https://doi.org/10.1103/PhysRevB.54.14807