  We measure the conductivity spectra of thin films comprising bundled
single-walled carbon nanotubes (CNTs) of different average lengths in the
frequency range 0.3-1000 THz and temperature interval 10-530 K. The observed
temperature-induced changes in the terahertz conductivity spectra are shown to
depend strongly on the average CNT length, with a conductivity around 1 THz
that increases/decreases as the temperature increases for short/long tubes.
This behaviour originates from the temperature dependence of the electron
scattering rate, which we obtain from Drude fits of the measured conductivity
in the range 0.3-2 THz for 10 $\mu$m length CNTs. This increasing scattering
rate with temperature results in a subsequent broadening of the observed THz
conductivity peak at higher temperatures and a shift to lower frequencies for
increasing CNT length. Finally, we show that the change in conductivity with
temperature depends not only on tube length, but also varies with tube density.
We record the effective conductivities of composite films comprising mixtures
of WS$_2$ nanotubes and CNTs vs CNT density for frequencies in the range 0.3-1
THz, finding that the conductivity increases/decreases for low/high density
films as the temperature increases. This effect arises due to the density
dependence of the effective length of conducting pathways in the composite
films, which again leads to a shift and temperature dependent broadening of the
THz conductivity peak.
