  The non-Hermitian Su-Schrieffer-Heeger spinless Fermion model with
interacting terms is studied by exact diagonalization. The model is derived
from the spin chain with damping Dzyaloshinskii-Moriya interaction. The
presence of the interaction induce anomalous spectral function. The skin effect
is exhibited by the non-diagonal terms of the Green's function, i.e. the
spatial correlation. The interaction modifies the degeneracy between the ground
state and the first excited state of the half filled systems, as well as
between the ground state of the half and half plus one filled systems. The
energy bands of the higher excited states within the topological regime have
complicated pattern, depending on the sign and amplitude of the interaction.
