title: Chiral topological phases and fractional domain wall excitations in one-dimensional chains and wires.
abstract: According to the general classification of topological insulators, there exist one-dimensional chirally (sublattice) symmetric systems that can support any number of topological phases. We introduce a zigzag fermion chain with spin-orbit coupling in magnetic field and identify three distinct topological phases. Zero-mode excitations, localized at the phase boundaries, are fractionalized: two of the phase boundaries support ±e/2 charge states while one of the boundaries support ±e and neutral excitations. In addition, a finite chain exhibits ±e/2 edge states for two of the three phases. We explain how the studied system generalizes the Peierls-distorted polyacetylene model and discuss possible realizations in atomic chains and quantum spin Hall wires.
authors: Low Temperature Laboratory, Aalto University, Aalto, Finland.
authors: Jukka I
authors: JI
authors: Väyrynen
authors: Teemu
authors: T
authors: Ojanen