Crystalline gauge fields and quantized discrete geometric response for Abelian topological phases with lattice symmetry
Naren Manjunath, Maissam Barkeshli
Abstract
The authors develop a topological field theory of crystalline gauge fields, which they use to classify the fractional charge, angular momentum, and linear momentum of anyons and lattice defects in (2+1)D topologically ordered phases of matter.
Topics & Concepts
PhysicsTopological quantum computerGauge theoryLattice (music)Abelian groupTheoretical physicsLattice gauge theoryTopology (electrical circuits)Symmetry (geometry)Topological defectHamiltonian lattice gauge theoryLattice field theoryTopological orderGauge (firearms)Field (mathematics)Quantum mechanicsTopological quantum numberSymmetry groupAngular momentumQuantum field theoryHexagonal latticeIntroduction to gauge theoryTopological entropy in physicsMathematicsTopological ringDiscrete symmetryToric codeQuantum gauge theoryTopological Materials and PhenomenaQuantum and electron transport phenomenaChemical and Physical Properties of Materials