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A notable feature of non-Hermitian systems with skin effects is thesensitivity of their spectra and eigenstates to the boundary conditions. In theliterature, three types of boundary conditions-periodic boundary condition,openboundary condition and a defect in the system as a boundary, are explored. Inthis work we introduce the other type of boundary condition provided by a giantatom. The giant atom couples to a nonreciprocal SuSchrieffer-Heeger chain attwo points and plays the role of defects. We study the spectrum andlocalization of eigenstates of the system and find that the giant atom caninduce asymmetric zero modes. A remarkable feature is that bulk states mightlocalize at the left or the right chain-atom coupling sites in weaklocalization regimes. This bipolar localization leads to Bloch-like states,even though translational invariance is broken. Moreover, we find that thelocalization is obviously weaker than the case with two small atoms or openboundary conditions even in strong coupling regimes. These intriguing resultsindicate that nonlocal coupling of giant atom to a nonreciprocal SSH chainweakens localization of the eigenstates. We also show that the Lyapunovexponent in the long-time dynamics in real space can act as a witness of thelocalized bulk states.

Giant atom induced zero modes and localization in the nonreciprocal Su-Schrieffer-Heeger chain