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Optoelectronics with Carbon Nanotubes

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the optical phonon population is not saturated as in suspended tubes, <strong>with</strong> the temperature <<br />

1200 K.<br />

As the applied power is increased, the electronic temperature should rise, unless the<br />

kinetic energy is dissipated via some other decay channel, which we claimed is the impact<br />

excitation mechanism. We have already cited temperature saturation as its supporting evidence.<br />

If the impact excitation mechanism is responsible for the lack of electronic temperature increase,<br />

that should result in an increase in emission per injected carrier. Figure III-12 shows that<br />

emission intensity per injected carrier (i.e., current) does increase almost to the third power as the<br />

applied power is increased, indicating that the EL efficiency is much greater at a higher power.<br />

If the 60 meV broadening is indeed due to electronic heating at a constant temperature, the figure<br />

is much smaller than reported by Freitag et al. where a five-fold broadening has been attributed<br />

to electronic heating. The difference, compared to our small electronic heating, is most likely<br />

due to the partially suspended nature of their device. Optical phonon saturation has been known<br />

to occur in suspended structures 87 , leading to a higher electronic temperature in their device.<br />

Figure III-12. Integrated Lorentz peak intensity as a function of current. The fit<br />

(solid line) shows that there is almost a cubic dependence on the current.<br />

While the EL efficiency increase supports a constant in electronic temperature, it does not<br />

guarantee it (electron temperature can still increase in the presence of a greater EL efficiency),<br />

58

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