Data to reproduce the figures of the publication: A. Götz, M. Hohenadler, and F. F. Assaad, Phases and exotic phase transitions of a two-dimensional Su-Schrieffer-Heeger model, Phys. Rev. B 109, 195154 (2024). Please read the 'README' file.

We thank the Würzburg-Dresden Cluster of Excellence on Complexity and Topology in Quantum Matter ct.qmat (EXC 2147, Project No. 390858490) as well as the DFG under the grant AS 120/16- 1 (Project No. 493886309) that is part of the collaborative research project SFB Q-M&S funded by the Austrian Science Fund (FWF) F 86. We are grateful for funding support from the DFG funded SFB 1170 on Topological and Correlated Electronics at Surfaces and Interfaces under the Grant No. C01. The authors gratefully acknowledge the Gauss Centre for Supercomputing e.V. for funding this project by providing computing time on the GCS Supercomputer SuperMUC-NG at the Leibniz Supercomputing Centre. The authors gratefully acknowledge the scientific support and HPC resources provided by the Erlangen National High Performance Computing Center (NHR@FAU) of the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) under NHR Project No. 80069. NHR funding is provided by federal and Bavarian state authorities. NHR@FAU hardware is partially funded by the German Research Foundation (DFG) through Grant No. 440719683.

Quantum Monte Carlo Simulations