Topological phases of extended Su-Schrieffer-Heeger-Hubbard model
Abstract
Despite extensive studies on the one-dimensional Su-Schrieffer-Heeger-Hubbard (SSHH) model, the variant incorporating next-nearest neighbour hopping remains largely unexplored. Here, we investigate the ground-state properties of this extended SSHH model using the constrained-path auxiliary-field quantum Monte Carlo (CP-AFQMC) method. We show that this model exhibits rich topological phases, characterized by robust edge states against interaction. We quantify the properties of these edge states by analyzing spin correlation and second-order R\'enyi entanglement entropy. The system exhibits long-range spin correlation and near-zero R\'enyi entropy at half-filling. Besides, there is a long-range anti-ferromagnetic order at quarter-filling. Interestingly, an external magnetic field disrupts this long-range anti-ferromagnetic order, restoring long-range spin correlation and near-zero R\'enyi entropy. Furthermore, our work provides a paradigm studying topological properties in large interacting systems via the CP-AFQMC algorithm.
Keywords
Cite
@article{arxiv.2405.10351,
title = {Topological phases of extended Su-Schrieffer-Heeger-Hubbard model},
author = {Pei-Jie Chang and Jinghui Pi and Muxi Zheng and Yu-Ting Lei and Dong Ruan and Gui-Lu Long},
journal= {arXiv preprint arXiv:2405.10351},
year = {2024}
}
Comments
16 pages, 11 figures