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Measurements of optical properties at nanometre-level are of centralimportance for characterization of optoelectronic device. It was, however,hardly possible for the conventional light-probe measurements to determine thelocal optical properties from single quantum object with nanometricalinhomogeneity. Here we demonstrate the first successful determination of theabsolute optical constants, including the optical conductivity and absorptioncoefficient, for an individual carbon nanotube with defects by comparing energyloss spectroscopy and optical absorption. The optical conductivity obtainedfrom a certain type of defects indeed presents a characteristic modificationnear the lowest excitation peak (E11) where excitons and non-radiativetransitions as well as phonon-coupled excitations are strongly involved.Detailed line-shape analysis of the E11 peak clearly shows different degree ofexciton lifetime shortening and electronic state modification which is variableto the defect type.

Experimental determination of the local optical conductivity of a semiconducting carbon nanotube and its modification at individual defects