Topological phases of extended Su-Schrieffer-Heeger-Hubbard model

• URL: http://arxiv.org/abs/2405.10351v2
• Date: Wed, 19 Jun 2024 10:51:28 GMT
• Title: Topological phases of extended Su-Schrieffer-Heeger-Hubbard model
• Authors: Pei-Jie Chang, Jinghui Pi, Muxi Zheng, Yu-Ting Lei, Dong Ruan, Gui-Lu Long,
• Abstract summary: We show that an extended Su-Schrieffer-Heeger-Hubbard 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. Our work provides a paradigm studying topological properties in large interacting systems via the CP-AFQMC algorithm.
• Score: 0.4741080054419136
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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