Anomalous topological phases in a Chern insulator connected to leads in a cylindrical geometry

[2512.12746] Anomalous topological phases in a Chern insulator connected to leads in a cylindrical geometry Skip to main content Search Submit Donate Log in Condensed Matter > Mesoscale and Nanoscale Physics arXiv:2512.12746 (cond-mat) [Submitted on 14 Dec 2025 ( v1 ), last revised 27 Aug 2026 (this version, v3)] Title: Anomalous topological phases in a Chern insulator connected to leads in a cylindrical geometry Authors: Satyam Sinha , Rekha Kumari , Junaid Majeed Bhat , Abhishek Dhar , Diptiman Sen , R. Shankar View PDF HTML (experimental) Abstract: The observed robustly quantized Hall conductance in quantum Hall systems and Chern insulators (CI) is normally understood in terms of the bulk topology of isolated systems, not coupled to leads. It is assumed that the leads act as inert reservoirs. Within a model of a CI coupled to leads with a cylindrical geometry, we show that this is not always true. We identify the Hall conductance with a boundary invariant, the winding number of the phase of the reflection coefficient. We find anomalous topological phases where the boundary invariant is not the same as the bulk Chern number, even in the limit of weak lead coupling. Comments: 18 pages, 10 figures Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ; Other Condensed Matter (cond-mat.other); Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph) Cite as: arXiv:2512.12746 [cond-mat.mes-hall] (or arXiv:2512.12746v3 [cond-mat.mes-hall] for this version) https://doi.org/10.48550/arXiv.2512.12746 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Junaid Majeed Bhat [ view email ] [v1] Sun, 14 Dec 2025 15:49:35 UTC (399 KB) [v2] Wed, 26 Aug 2026 15:07:30 UTC (1,276 KB) [v3] Thu, 27 Aug 2026 10:09:51 UTC (1,276 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.mes-hall < prev | next > new | recent | 2025-12 Change to browse by: cond-mat cond-mat.other cond-mat.stat-mech quant-ph References & Citations INSPIRE HEP SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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