Higher-order topological insulators are unusual materials that can support topologically protected states. Recently discovered disclination states also belong to the class of higher-order topological states but are bound to the boundary of the disclination defect of the higher-order topological insulator and can be predicted using the bulk-disclination correspondence principle.
So far, topological disclination states were observed only in the linear regime, while the interplay between nonlinearity and topology in the systems with disclinations has never been studied experimentally., a team of scientists, led by Professor Yaroslav V.
Due to the compactness of disclination states, they are beneficial for the enhancement of nonlinear effects and for realization of stable lasing. In addition, disclination lattices can be used in the design of various nonlinear topological functional devices. The disclination states that appear in aperiodic structures obtained due to specific deformations of periodic arrays substantially differ from previously considered higher-order insulator geometries, since systems with disclinations may have discrete rotational symmetries that are incompatible with crystalline symmetries and cannot be realized in usual higher-order insulators with periodic bulk.
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