  We present a self-consistent field theory (SCFT) of semiflexible (wormlike)
diblock copolymers, each consisting of a rigid and a flexible part. The
segments of the polymers are otherwise identical, in particular with regard to
their interactions, which are taken to be of an Onsager excluded-volume type.
The theory is developed in a general three-dimensional form, as well as in a
simpler one-dimensional version. Using the latter, we demonstrate that the
theory predicts the formation of a partial-bilayer smectic-A phase in this
system, as shown by profiles of the local density and orientational
distribution functions. The phase diagram of the system, which includes the
isotropic and nematic phases, is obtained in terms of the mean density and
rigid-rod fraction of each molecule. The nematic-smectic transition is found to
be second order. Since the smectic phase is induced solely by the difference in
the rigidities, the onset of smectic ordering is shown to be an entropic effect
and therefore does not have to rely on additional Flory-Huggins-type repulsive
interactions between unlike chain segments. These findings are compared with
other recent SCFT studies of similar copolymer models and with computer
simulations of several molecular models.
