  We investigate the transport properties through a finite dimer chain
connected to two normal leads or one normal and one superconductor (SC) leads.
The dimer chain is described by the Su-Schrieffer-Hegger model and can be tuned
into a topologically nontrivial phase with a pair of zero-energy edge states
(ZEESs). We find that if the dimer chain is of nontrivial topology, (1) it will
show apparent but opposite odd-even parity of the number of sites, in
comparison with the topologically trivial and plain chains, in the (Andreev)
transmission probability at the Fermi energy (i.e. the conductance and the
Andreev conductance), the noise Fano factor in the zero bias limit, and even
the transmission phase due to the coupled ZEESs; (2) the ZEES can determine
appearance of the Andreev bound states at the site connected to the SC lead,
and thereby induces a nonzero-bias-anomaly in the Andreev differential
conductance of the hybrid junction; (3) the transmission phase of the normal
junction has a unique $2\pi$ continuous phase variation at the zero-energy
resonant peak that is also different from the usual phase shift in resonant
point in usual systems.
