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Fractional (Chern and topological) insulators
Titus Neupert, Claudio Chamon, Thomas Iadecola +2
We review various features of interacting Abelian topological phases of matter in two spatial dimensions, placing particular emphasis on fractional Chern insulators (FCIs) and frac…
Topological BF theory of the quantum hydrodynamics of incompressible polar fluids
Apoorv Tiwari, Xiao Chen, Titus Neupert +4
We analyze a hydrodynamical model of a polar fluid in (3+1)-dimensional spacetime. We explore a spacetime symmetry -- volume preserving diffeomorphisms -- to construct an effective…
Bosonic Anomalies, Induced Fractional Quantum Numbers and Degenerate Zero Modes: the anomalous edge physics of Symmetry-Protected Topological States
Juven Wang, Luiz H. Santos, Xiao-Gang Wen
The boundary of symmetry-protected topological states (SPTs) can harbor new quantum anomaly phenomena. In this work, we characterize the bosonic anomalies introduced by the 1+1D no…
Erratum for "Elementary formula for the Hall conductivity of interacting systems"
Titus Neupert, Luiz Santos, Claudio Chamon +1
When deriving a formula for the Hall conductivity of interacting electrons in Phys. Rev. B 86, 165133, we have relied on an unjustified implicit assumption that a certain gauge cho…