Chiral Topological Excitons in a Chern Band Insulator

Abstract

A family of semiconductors called as Chern band insulator are shown to host exciton bands with non-zero topological Chern integers and chiral exciton edge modes. Using a prototypical two-band Chern insulator model, we calculate a cross-correlation function to obtain the exciton bands and their Chern integers. The lowest exciton band acquires Chern integers such as $\pm 1$ and $\pm 2$ in electronic Chern insulator phase. The non-trivial topology can be experimentally observed both by non-local optoelectronic response of exciton edge modes and by a phase shift in the cross-correlation response due to the bulk mode. Our result suggests that magnetically doped HgTe, InAs/GaSb quantum wells and ${\text{(Bi,Sb)}}_2{\text{Te}}_3$ thin film are promising candidates for a platform of topological excitonics.

5+ pages, 3 figures with supplemental materials

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Cited by in corpus (1)

• Exciton topology and condensation in a model quantum spin Hall insulator