We investigate the emergence of nontrivial topology in a twisted cuprate bilayer described by the Hubbard model in the weak-interaction regime. Our results show that the topological character depends sensitively on the doping level. For $U/t=3.85$, the Chern number assumes a value of $\pm 8$ in the electron-doped case, whereas it vanishes (0) in the hole-doped regime. The presence of nontrivial topology is further supported by an analysis of the associated edge states and their chirality in a finite-width geometry, while keeping full correlations.

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• Topological superconductors
• Topological materials
• Cluster methods
• Exact diagonalization
• Hubbard model