Generalization of Benalcazar-Bernevig-Hughes model to arbitrary dimensions
Mesoscale and Nanoscale Physics
2023-09-04 v3
Abstract
The Benalcazar-Bernevig-Hughes (BBH) model [Science 357, 61 (2017)], featuring bulk quadrupole moment, edge dipole moments, and corner states, is a paradigm of both higher-order topological insulators and topological multipole insulators. In this work, we generalize the BBH model to arbitrary dimensions by utilizing the Clifford algebra. For the generalized BBH model, the analytical solution of corner states can be directly constructed in a unified way. Based on the solution of corner states and chiral symmetry analysis, we develop a general boundary projection method to extract the boundary Hamiltonians, which turns out to be the BBH models of lower dimension and reveals the dimensional hierarchy.
Keywords
Cite
@article{arxiv.2304.07714,
title = {Generalization of Benalcazar-Bernevig-Hughes model to arbitrary dimensions},
author = {Xun-Jiang Luo and Fengcheng Wu},
journal= {arXiv preprint arXiv:2304.07714},
year = {2023}
}