Doping-dependent energy scale of the low-energy band renormalization in (Bi,Pb)2(Sr,La)2CuO6+d

The nodal band-dispersion in (Bi,Pb)2(Sr,La)2CuO6+d (Bi2201) is investigated over a wide range of doping by using 7-eV laser-based angle-resolved photoemission spectroscopy. We find that the low-energy band renormalization ("kink"), recently discovered in Bi2Sr2CaCu2O8+d (Bi2212), also occurs in Bi2201, but at a binding energy around half that in Bi2212, implying its scaling to Tc. Surprisingly the coupling-energy dramatically increases with a decrease of carrier concentration, showing a sharp enhancement across the optimal doping. This strongly contrasts to other mode-couplings at higher binding-energies (~20, ~40, and ~70 meV) with almost no doping variation in energy scale. These nontrivial properties of the low-energy kink (material- and doping-dependence of the coupling-energy) demonstrate the significant correlation among the mode-coupling, the Tc, and the strong electron correlation.