Universal topological marker
Wei Chen
Abstract
The topological order of Dirac models in any dimension and symmetry class can be mapped to lattice sites by a universal topological marker. From the topological operator that extracts this marker, one can further define a nonlocal marker that detects topological phase transitions. Several prototype models such as the Su-Schrieffer-Heeger model, Majorana chain, Chern insulator, Bernevig-Hughes-Zhang model, chiral and helical $p$-wave superconductors, three-dimensional time-reversal symmetric topological insulators, among many others, are employed to demonstrate the ubiquity of these markers.
Topics & Concepts
PhysicsMAJORANATopological insulatorTopology (electrical circuits)Symmetry protected topological orderTopological orderFermionLattice (music)Symmetry (geometry)Theoretical physicsQuantum mechanicsQuantumMathematicsAcousticsGeometryCombinatoricsTopological Materials and PhenomenaAdvanced Condensed Matter PhysicsQuantum many-body systems