  The conductance, $G(E)$, through graphene nanoribbons (GNR) connected to a
partially unzipped carbon nanotube (CNT) is studied in the presence of an
external magnetic field applied parallel to the long axis of the tube by means
of non-equilibrium Green's function technique. We consider (z)igzag and
(a)rmchair CNTs that are partially unzipped to form aGNR/zCNT/aGNR or
zGNR/aCNT/zGNR junctions. We find that the inclusion of a longitudinal magnetic
field affects the electronic states only in the CNT region, leading to the
suppression of the conductance at low energies. Unlike previous studies, for
the zGNR/aCNT/zGNR junction in zero field, we find a sharp dip in the
conductance as the energy approaches the Dirac point and we attribute this
non-trivial behavior to the peculiar band dispersion of the constituent
subsystems. We demonstrate that both types of junctions can be used as magnetic
field sensors.
