Non-Hermitian topological excitation transmission in the dimerized lattice with imaginary potential and nonreciprocal hopping

We investigate the topological edge transmission of excitation based on the one-dimensional Su-SchriefferHeeger lattice with purely imaginary on-site potential and nonreciprocal nearest-neighbor hopping. We find that, when the system has only the nonreciprocal intracell hopping, the topological excitation transmission can be implemented only when the localization direction of the non-Hermitian skin effect matches the localization direction of edge state. When the lattice has the purely imaginary on-site potential and nonreciprocal intracell hopping, we demonstrate that the positive purely imaginary potential is the dominant effect of implementing the topological excitation transmission compared with the non-Hermitian skin effect. Furthermore, we also investigate the joint effect between the purely imaginary on-site potential and nonreciprocal intercell hopping, which reveals that the non-Hermitian skin effect induced via the large nonreciprocal parameter determines the successful topological excitation transmission. Our investigations show the different influences of two kinds of non-Hermitian effects on the topological excitation transmission, which may promote the implementation of topological transmission in the practical open quantum system.