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Real spectra and phase transition of skin effect in nonreciprocal systems

Real spectra and phase transition of skin effect in nonreciprocal systems

We study the one-dimensional nonreciprocal lattices with real nearest-neighboring hopping and find that the energy spectra under open boundary conditions can be entirely real or imaginary. We further investigate the spectral properties and the non-Hermitian skin effect in the one-dimensional mosaic lattices with real nonreciprocal hopping introduced at equally spaced …