We have investigated theoretically the conductance through finite-sized car
bon nanotubes coupled to featureless leads in the context of standard tight
-binding models. Conduction takes place via resonant tunneling, and the res
ultant spectrum of peaks may be understood in terms of the band structure o
f the nanotubes. Specific nanotubes display both on- and off-resonance beha
vior as a function of nanotube length depending upon whether or not the ban
ds cross at a nonzero I;value. We have also investigated the approach to th
e infinite limit in detail, and, in general, And that the finite-size effec
ts can persist out to hundreds of nanometers. Since the manipulation of nan
otubes into devices is likely to induce defects, we have investigated their
effects on the conduction. The effects of bending and two broad classes of
defects, i.e., defect in the absence and/or presence of addimers, were con
sidered. In general, the presence of defects leads both to a reduction and
shifting of the resonant peaks at the Fermi level. However, in the infinite
limit, low concentrations of defects have only a relatively modest effect
on the transport properties. Finally, we have investigated the effects of a
n externally imposed magnetic field oriented perpendicular to the nanotube
axis. The magnetic field shifts the levels, thereby turning on- and off-res
onant devices into each other. All of the effects discussed here are testab
le experimentally.