Photonic honeycomb lattices have edge states that are protected against weak perturbations in the couplings as long as it respects certain symmetries. This topological property is the result of the existence of Dirac points in the band structure of honeycomb lattices. Here, we show by adding a certain degree of non-Hermiticity we can move an edge state and relocate it at the position of the non-Hermitian defect. To be specific the non-Hermitian defect is a local one-dimensional Parity-Time symmetric gain and loss mechanism added along the lattice in parallel to the edge. Our proposal enriches the engineering of topological states.
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