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.
@article{arxiv.2207.11480,
title = {Topological quantum transition driven by charge-phonon coupling in higher-order topological insulators},
author = {Congwei Lu and Mei Zhang and Haibo Wang and Qing Ai and Tao Liu},
journal= {arXiv preprint arXiv:2207.11480},
year = {2023}
}