Unified characterization for higher-order topological phase transitions
Wei Jia, Xin-Chi Zhou, Lin Zhang, Long Zhang, Xiong‐Jun Liu
Abstract
Two fundamental types of higher-order topological phase transitions are unified in momentum space by employing the notion of higher-order topological charges. The topological transitions of different types and different orders are precisely captured by the exotic dynamical behaviors of topological charges via the quantum quench dynamics.
Topics & Concepts
Topology (electrical circuits)Zero-dimensional spacePhysicsSubspace topologyCharacterization (materials science)Position and momentum spaceTopological orderBoundary (topology)Projection (relational algebra)Topological quantum numberTheoretical physicsTopological vector spaceTopological spaceMathematicsQuantum mechanicsAlgorithmOpticsPure mathematicsMathematical analysisQuantumCombinatoricsTopological Materials and PhenomenaQuantum many-body systemsGraphene research and applications