We report on detailed studies of the n-type doping dependence of the Raman response of double-wall carbon nanotubes using potassium intercalation. The charge transfer is monitored by a shift of the G line. Upon doping the G line shifts to higher frequencies for the outer and to lower frequencies for the inner tubes. This is explained by different Coulomb interactions for the inner and outer tubes. The response of the radial breathing mode upon doping shows that a charge transfer from the dopant happens predominantly to the outer tubes at low doping. Charge transfer to the inner tubes occurs at higher doping levels. The previously observed cluster behavior of the inner tube RBM response allows a detailed analysis of the dependence of the inner tube doping from specific inner tube-outer tube configurations.
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