Loop unitary and phase band topological invariant in generic multi-band Chern insulators

[2406.09797] Loop unitary and phase band topological invariant in generic multi-band Chern insulators Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Condensed Matter > Mesoscale and Nanoscale Physics arXiv:2406.09797 (cond-mat) [Submitted on 14 Jun 2024 ( v1 ), last revised 11 Oct 2024 (this version, v3)] Title: Loop unitary and phase band topological invariant in generic multi-band Chern insulators Authors: Xi Wu , Ze Yang , Fuxiang Li View a PDF of the paper titled Loop unitary and phase band topological invariant in generic multi-band Chern insulators, by Xi Wu and 1 other authors View PDF HTML (experimental) Abstract: Quench dynamics of topological phases have been studied in the past few years and dynamical topological invariants are formulated in different ways. Yet most of these invariants are limited to minimal systems in which Hamiltonians are expanded by Gamma matrices. Here we generalize the dynamical 3-winding-number in two-band systems into the one in generic multi-band Chern insulators and prove that its value is equal to the difference of Chern numbers between post-quench and pre-quench Hamiltonians. Moreover we obtain an expression of this dynamical 3-winding-number represented by gapless fermions in phase bands depending only on the phase and its projectors, so it is generic for the quench of all multi-band Chern insulators. Besides, we obtain a multifold fermion in the phase band in (k, t) space by quenching a three-band model, which cannot happen for two band models. Comments: 12 pages, 3 figures Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ; High Energy Physics - Lattice (hep-lat) Cite as: arXiv:2406.09797 [cond-mat.mes-hall] (or arXiv:2406.09797v3 [cond-mat.mes-hall] for this version) https://doi.org/10.48550/arXiv.2406.09797 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.1103/PhysRevB.110.224304 Focus to learn more DOI(s) linking to related resources Submission history From: Xi Wu [ view email ] [v1] Fri, 14 Jun 2024 07:47:53 UTC (649 KB) [v2] Fri, 28 Jun 2024 07:32:04 UTC (5,902 KB) [v3] Fri, 11 Oct 2024 10:01:10 UTC (5,904 KB) Full-text links: Access Paper: View a PDF of the paper titled Loop unitary and phase band topological invariant in generic multi-band Chern insulators, by Xi Wu and 1 other authors View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.mes-hall < prev | next > new | recent | 2024-06 Change to browse by: cond-mat hep-lat References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: 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) Major funding support from

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