Kane-Mele with a twist: Quasicrystalline higher-order topological insulators with fractional mass kinks
Stephen Spurrier, Nigel R. Cooper
Abstract
This paper develops an analytical low-energy theory describing a higher-order topological phase in a quasicrystalline model consisting of two stacked Haldane models with 30 degree twist---akin to the Kane-Mele model with a twist. Instead of regular mass inversions, the authors show the onset of fractional mass kinks in the edge theory, which protect fractional corner localized charges.
Topics & Concepts
QuasicrystalPhysicsTopological insulatorPhase (matter)Condensed matter physicsPhasonEnhanced Data Rates for GSM EvolutionCritical mass (sociodynamics)Phase transitionDegree (music)Topology (electrical circuits)Statistical physicsMathematicsTheoretical physicsWork (physics)Topological Materials and PhenomenaQuasicrystal Structures and PropertiesNonlinear Photonic Systems