Topological superconductivity in a Hubbard model for twisted bilayer cuprates

[2605.06923] Topological superconductivity in a Hubbard model for twisted bilayer cuprates Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Condensed Matter > Strongly Correlated Electrons arXiv:2605.06923 (cond-mat) [Submitted on 7 May 2026 ( v1 ), last revised 15 Aug 2026 (this version, v2)] Title: Topological superconductivity in a Hubbard model for twisted bilayer cuprates Authors: T. Vibert , D. Sénéchal View a PDF of the paper titled Topological superconductivity in a Hubbard model for twisted bilayer cuprates, by T. Vibert and D. S\'en\'echal View PDF HTML (experimental) Abstract: 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 the associated edge states and their chirality in a finite-width geometry, while keeping full correlations. Comments: 7 pages, 7 figures. Associated data can be found in the ancillary files with this submission. This is the version accepted for publication (minor changes compared to version 1) Subjects: Strongly Correlated Electrons (cond-mat.str-el) ; Superconductivity (cond-mat.supr-con) Cite as: arXiv:2605.06923 [cond-mat.str-el] (or arXiv:2605.06923v2 [cond-mat.str-el] for this version) https://doi.org/10.48550/arXiv.2605.06923 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.1103/hdxf-sqwn Focus to learn more DOI(s) linking to related resources Submission history From: David Senechal [ view email ] [v1] Thu, 7 May 2026 20:34:00 UTC (7,541 KB) [v2] Sat, 15 Aug 2026 00:13:11 UTC (11,821 KB) Full-text links: Access Paper: View a PDF of the paper titled Topological superconductivity in a Hubbard model for twisted bilayer cuprates, by T. Vibert and D. S\'en\'echal View PDF HTML (experimental) TeX Source view license Ancillary-file links: Ancillary files ( details ) : data/Chern_U385.tsv data/berry_U385_mu158_nk200.tsv data/mdc_U385_mu158_nk500_eta001.tsv data/spectrum_U385_mu_158_nk128.tsv data/spectrum_ribbon_lower_U385_mu11_N40.tsv data/spectrum_ribbon_lower_U385_mu158_N40.tsv data/spectrum_ribbon_upper_U385_mu158_N40.tsv data/vca_B1B2i_U385.tsv data/vca_B1_U385.tsv data/vca_B2_U385.tsv fig_source/Brillouin_fold.asy fig_source/README.md fig_source/VCA_Chern_U385.py fig_source/cluster.asy fig_source/mdc_U385.py fig_source/model_twisted_cuprate.py fig_source/model_twisted_ribbon.py fig_source/ribbon.asy fig_source/run_Chern.py fig_source/run_VCA_coex.py fig_source/run_edges.py fig_source/run_mdc.py fig_source/run_test.py fig_source/spectral_data.tsv fig_source/spectral_data_down.tsv fig_source/spectrum_2D_U385.py fig_source/spectrum_edges.py fig_source/spectrum_edges_MFT.py fig_source/spectrum_edges_mu11.py (24 additional files not shown) Current browse context: cond-mat.str-el < prev | next > new | recent | 2026-05 Change to browse by: cond-mat cond-mat.supr-con References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... 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