Topological quantum transition driven by charge-phonon coupling in higher-order topological insulators

Abstract

We investigate a second-order topological quantum transition of a modified Kane-Mele model driven by electron-phonon interaction. The results show that the system parameters of the bare modified Kane-Mele model are renormalized by the electron-phonon interaction. Starting from the second-order topological phase for the bare model, the increasing electron-phonon coupling strength can drive the second-order topological insulator into a semimetal phase. Such a secondorder topological phase transition is characterized by the band-gap closing, discontinuity of averaged ferminoic number and topological invariant.

8 pages,6 figures

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• Mixed-state phase transitions in spin-Holstein models
• Higher-order topology in twisted multilayer systems: a review
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• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Topological characterization of magnon-polaron bands and thermal Hall conductivity in a frustrated kagome antiferromagnet
• Interaction-Induced Higher-Order Topological Insulator via Floquet Engineering