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We predict the existence of surface dark solitons at the interface between aself-defocusing nonlocal nonlinear medium and a linear medium. The fundamentaland higher-order surface dark solitons can exist when the linear refractiveindex of the self-defocusing media is much larger than that of the linearmedia. The fundamental solitons are stable and the stabilities of higher-ordersolitons depend on both nonlocality degree and propagation constant.

Surface dark solitons in nonlocal nonlinear media