  Transport phenomena in parallel coupled scatterers are studied by transfer
matrix formulism. We derive a simple recurrence relation for transfer matrix of
one-dimensional two-terminal systems consisting of $N$ arbitrary scattering
unit cells connected in parallel. For identical scattering sub-units we find
that the effects of parallel connection on transport properties of the coupled
system can be described by a similarity transformation on the single scatterer,
with the similar matrix determined by the scattering matrix of the junction.
While for distinct single scatterers, the similar matrices depend on both
scattering properties of individual elements and structure of connection
topologies.
