Non-Abelian braiding in Abelian Fractional Quantum Hall Phases from realistic interactions

[2606.07517] Non-Abelian braiding in Abelian Fractional Quantum Hall Phases from realistic interactions Skip to main content Search Submit Donate Log in Condensed Matter > Strongly Correlated Electrons arXiv:2606.07517 (cond-mat) [Submitted on 5 Jun 2026 ( v1 ), last revised 22 Aug 2026 (this version, v3)] Title: Non-Abelian braiding in Abelian Fractional Quantum Hall Phases from realistic interactions Authors: Ha Quang Trung , Bo Yang View PDF HTML (experimental) Abstract: We propose a method of realizing non-Abelian braiding of fractionalized quasiholes in the Laughlin fractional quantum Hall phase at $\nu=1/3$ with realistic two-body interactions within the lowest Landau level. It is numerically shown that low-lying gapped excitations near $\nu=1/3$ are contained almost entirely within the null space of the three-body Moore-Read model Hamiltonian. They are thus quantum fluids of non-Abelian quasiholes that are in principle physically accessible. In particular, Laughlin ground state can be described as a fluid of ``$\psi$-type" quasiholes formed by binding a magnetic flux with a Majorana fermion (MF), and the Laughlin quasiholes are described by the ``$1$-type'' quasiholes, which are magnetic fluxes without a MF attached. Within the Laughlin phase, Laughlin quasiholes can be locally fractionalized into non-Abelian quasiholes, when the strong attraction between them is overcome by properly designed one-body electronstatic trapping potentials. Extensive numerics with proper finite-size scaling corroborate this physical picture, and our study points to the possibility of realizing non-Abelian braiding within an Abelian topological phase in experiment without the need for fine-tuning realistic electron-electron interaction. Comments: The supplementary materials are updated with more details, including model wavefunctions and comparison with CF exciton states. Comments very welcome Subjects: Strongly Correlated Electrons (cond-mat.str-el) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Cite as: arXiv:2606.07517 [cond-mat.str-el] (or arXiv:2606.07517v3 [cond-mat.str-el] for this version) https://doi.org/10.48550/arXiv.2606.07517 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Bo Yang [ view email ] [v1] Fri, 5 Jun 2026 17:59:59 UTC (1,155 KB) [v2] Wed, 1 Jul 2026 14:59:56 UTC (1,528 KB) [v3] Sat, 22 Aug 2026 18:46:24 UTC (1,418 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.str-el < prev | next > new | recent | 2026-06 Change to browse by: cond-mat cond-mat.mes-hall References & Citations NASA ADS 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) Major funding support from

Related documents

• Non-Abelian braiding in Abelian Fractional Quantum Hall Phases from realistic interactions#665800
• Towards flying quantum bits within the quantum Hall regime : a theoretical study#294627
• Model Fractional Quantum Hall States on Lattices: Exact Parent Hamiltonians and Routes to Realization#1061223
• Non-equilibrium bosonization of fractional quantum Hall edges#670512
• Non-equilibrium bosonization of fractional quantum Hall edges#668447