Non-Hermitian topological metamaterials with odd elasticity
Di Zhou, Junyi Zhang
Abstract
This work constructs non-Hermitian topological mechanics in one-dimensional and two-dimensional lattices consisting of mass points connected by meta-beams that lead to odd elasticity. The authors propose a definition of the Berry phase in non-Hermitian systems to characterize the lattice topology. Their results show that the associated eigenfrequencies of topological boundary modes are complex, meaning that the excitations could exponentially grow in time even in the damped regime.
Topics & Concepts
PhysicsLattice (music)MetamaterialGeometric phaseElasticity (physics)Topology (electrical circuits)Boundary (topology)Theoretical physicsBoundary value problemMathematicsTopological entropy in physicsTopological defectWork (physics)Topological quantum numberPhase transitionTopological orderClassical mechanicsPhase (matter)Invariant (physics)Quantum Mechanics and Non-Hermitian PhysicsTopological Materials and PhenomenaNonlinear Photonic Systems