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Optoelectronics with Carbon Nanotubes

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of Schottky barriers. This estimation is consistent <strong>with</strong> the field strength of 30 to 60 V/μm for<br />

the onset of emission has been suggested for 1D CNTs by energetic considerations and optical<br />

phonon scattering length 71 .<br />

Once the emission threshold field is exceeded, it is reasonable to assume that the<br />

emission efficiency increases as the accelerating field is increased. In fact, as observed in<br />

Figure III-7 showing the integrated EL intensity as a function of current, a reasonable fit to the<br />

nonlinear behavior is obtained by using a polynomial function of the form y = a + bx 2 . While the<br />

functional form of this fit cannot be discussed <strong>with</strong>out knowing details such as the electronic<br />

temperature (i.e. Fermi distribution of the charge carriers) and the potential profile at the<br />

contacts, it still indicates that the emission is indeed more efficient at a higher VDS, as the<br />

accelerating field is increased.<br />

Figure III-7. EL intensity as a function of current. The best fit (solid line) is a<br />

polynomial fit <strong>with</strong> the exponent of 1.98 and no linear component.<br />

iii. Electroluminescence Spectra<br />

To understand the characteristics of electrically-induced emission in greater detail, we<br />

now move onto an analysis of the spectral shape. In particular, various peaks and their widths in<br />

emission spectra give clues to different mechanisms that influence the emission process. First,<br />

we examine the spectral width as a function of input power in order to elucidate the role of<br />

47

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