  We investigate topological and disorder effects in non-Hermitian systems with
chiral symmetry. The system under consideration consists in a finite
Su-Schrieffer-Heeger chain to which two semi-infinite leads are attached. The
system lacks the parity-time and time-reversal symmetries and is appropriate
for the study of quantum transport properties. The complex energy spectrum is
analyzed in terms of the chain-lead coupling and chiral disorder strength, and
shows substantial differences between chains with even and odd number of sites.
The mid-gap edge states acquire a finite lifetime and are both of topological
origin or generated by a strong coupling to the leads. The disorder induces
coalescence of the topological eigenvalues, associated with exceptional points
and vanishing of the eigenfunction rigidity. The electron transmission
coefficient is approached in the Landauer formalism, and an analytical
expression for the transmission in the range of topological states is obtained.
Notably, the chiral disorder in this non-Hermitian system induces unitary
conductance enhancement in the topological phase.
