Geometry and topology tango in ordered and amorphous chiral matter
Marcelo Guzmán, Denis Bartolo, David Carpentier
Abstract
Systems as diverse as mechanical structures and photonic metamaterials enjoy a common geometrical feature: a sublattice or chiral symmetry first introduced to characterize electronic insulators. We show how a real-space observable, the chiral polarization, distinguishes chiral insulators from one another and resolve long-standing ambiguities in the very concept of their bulk-boundary correspondence. We use it to lay out generic geometrical rules to engineer topologically distinct phases, and design zero-energy topological boundary modes in both crystalline and amorphous metamaterials.
Topics & Concepts
MetamaterialTopological insulatorSymmetry (geometry)Topology (electrical circuits)Periodic boundary conditionsAmorphous solidPhysicsPolarization (electrochemistry)Theoretical physicsChiral symmetryGeometryCondensed matter physicsBoundary value problemQuantum mechanicsMathematicsCrystallographyPhysical chemistryCombinatoricsChemistryQuarkTopological Materials and PhenomenaMetamaterials and Metasurfaces ApplicationsQuantum Mechanics and Non-Hermitian Physics