title: Model characterization of gapless edge modes of topological insulators using intermediate Brillouin-zone functions.
abstract: We characterize gapless edge modes in translation invariant topological insulators. We show that the edge mode spectrum is a continuous deformation of the spectrum of a certain gluing function defining the occupied state bundle over the Brillouin zone. Topologically nontrivial gluing functions, corresponding to nontrivial bundles, then yield edge modes exhibiting spectral flow. We illustrate our results for the case of chiral edge states in two-dimensional Chern insulators, as well as helical edges in quantum spin Hall states.
authors.affiliation: Microsoft Research, Station Q, University of California, Santa Barbara, California 93106, USA.
authors.forename: Lukasz
authors.initials: L
authors.lastname: Fidkowski
authors.forename: T S
authors.initials: TS
authors.lastname: Jackson
authors.forename: Israel
authors.initials: I
authors.lastname: Klich