Thus far, the studies of unidirectional transmission based on nontrivial photonic topological states have mostly relied on precisely designed periodic structures. To realize unidirectional transmission on a continuous homogeneous interface, a hyperbolic-gyroelectric metamaterial composed of alternating dielectric and magnetized semiconductor layers is proposed. The application of an externally applied magnetic field along the stacking direction of dielectric and magnetized semiconductor layers leads to the breaking of the time-reversal symmetry and the separation of the bulk modes of the metamaterial. The existence of the surface states in the spatial gap between two bulk modes of the metamaterial is verified by analytical calculation. The unidirectionality and the backscattering-immune properties of the surface states are further demonstrated by numerical simulation of electromagnetic waves propagation along interfaces with sharp corners. By connecting the interfaces of two identical hyperbolic-gyroelectric metamaterials with reversed magnetic fields, the number of unidirectional surface states is doubled. As a possible application of multimode surface states, a continuously tunable power splitter is proposed.
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