  We study the effect of PT-symmetric complex potentials on the transport
properties of non-Hermitian systems, which consist of an infinite linear chain
and two side-coupled defect points with PT-symmetric complex on-site
potentials. By analytically solving the scattering problem of two typical
models, which display standard Fano resonances in the absence of non-Hermitian
terms, we find that the PT-symmetric imaginary potentials can lead to some
pronounced effects on transport properties of our systems, including changes
from the perfect reflection to perfect transmission, and rich behaviors for the
absence or existence of the prefect reflection at one and two resonant
frequencies. Our study can help us to understand the interplay between the Fano
resonance and PT symmetry in non-Hermitian discrete systems, which may be
realizable in optical waveguide experiments.
