Abstract: A one-dimensional non-Hermitian Hatono-Nelson single-chain circuit model was designed.By varying the inter-chain coupling strength,the non-Hermitian skin effect in three different parameter conditions was explored.On this basis,circuit simulation experiments were carried out.The results show that when the interchain coupling is reciprocal (Hermitian limit),the system's PBC energy spectrum coincides with the OBC energy spectrum,the generalized Brillouin zone (GBZ) is identical with the Brillouin zone (BZ),and the eigenstates extend throughout the bulk,forming extended states.When the interchain coupling is non-reciprocal with a rightward coupling strength greater than the leftward coupling strength,the PBC and OBC energy spectra differ significantly,the GBZ lies inside the BZ,and the eigenstates localize to the left,forming left skin modes.Conversely,when the rightward coupling strength is smaller than the leftward coupling strength,the PBC and OBC energy spectra also differ substantially,the GBZ encloses the BZ,and the eigenstates localize to the right,forming right skin modes.The skin effect in all three cases can be successfully observed in the circuit simulations,and the experimental results agree well with theoretical calculations.

Key words: bulk-boundary correspondence, non-Hermitian, non-Bloch theory, skin effect