Chiral topological phases and fractional domain wall excitations in one-dimensional chains and wires

Jukka I. Väyrynen, Teemu Ojanen*

*Corresponding author for this work

    Research output: Contribution to journalArticleScientificpeer-review

    19 Citations (Scopus)

    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.

    Original languageEnglish
    Article number166804
    JournalPhysical Review Letters
    Volume107
    Issue number16
    DOIs
    Publication statusPublished - 11 Oct 2011
    MoE publication typeA1 Journal article-refereed

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