Hybrid higher-order skin-topological effect in hyperbolic lattices
Junsong Sun, Chang-An Li, Shiping Feng, Huaiming Guo
Abstract
The hyperbolic lattice, existing in a space of constant negative curvature, displays unique physical properties compared to its Euclidean counterpart, and has garnered significant attention recently. Here, the authors have proposed the existence of a higher-order skin-topological effect in hyperbolic lattices. This result first introduces a non-Hermitian effect into hyperbolic lattices, which extends the regime of topological phases with hyperbolic geometry.
Topics & Concepts
Hyperbolic spaceEuclidean geometryCurvaturePhysicsHyperbolic angleHyperbolic geometryHyperbolic triangleLattice (music)Hermitian matrixTopology (electrical circuits)Ultraparallel theoremHyperbolic functionHyperbolic manifoldMathematicsPure mathematicsMathematical analysisGeometryQuantum mechanicsDifferential geometryCombinatoricsAcousticsQuantum Mechanics and Non-Hermitian PhysicsQuantum chaos and dynamical systemsAdvanced Mathematical Theories and Applications