Simultaneous nanoscale imaging of local conductivity and chemical potential in a quantum Hall isospin ferromagnet

[2606.08237] Simultaneous nanoscale imaging of local conductivity and chemical potential in a quantum Hall isospin ferromagnet Skip to main content Search Submit Donate Log in Condensed Matter > Mesoscale and Nanoscale Physics arXiv:2606.08237 (cond-mat) [Submitted on 6 Jun 2026] Title: Simultaneous nanoscale imaging of local conductivity and chemical potential in a quantum Hall isospin ferromagnet Authors: Jiawei Hu , Shiyu Zhu , Bohao Li , Yunhao Wang , Shuigang Xu , Zhihai Cheng , Chengmin Shen , Andre K. Geim , Fengcheng Wu , Hong-Jun Gao View PDF Abstract: Quantum Hall isospin ferromagnetism in multilayer graphene offers a versatile playground for exploring flat band correlated physics, driven by the intricate coupling of spin, valley, orbital, and layer degrees of freedom. However, a nanoscale probe capable of simultaneously mapping local conductivity and chemical potential in these exotic phases has yet to be realized. Here, we introduce scanning conductivity and chemical potential microscopy (SCCM), a technique integrating scanning microwave impedance microscopy and Kelvin probe force microscopy. We demonstrate SCCM by probing the quantum Hall states and many-body Landau level energy spectrum in bilayer graphene. Applied to marginally twisted double bilayer graphene, SCCM then reveals a cascade of quantum Hall isospin ferromagnetic states with unexpected re-emergence behaviors. Significantly, experimental many-body Landau level energy spectrum further uncovers the intricate connections of these complex phenomena to inter-subband Landau level crossings and Landau level single-particle wavefunctions. These insights enable the construction of a comprehensive quantum Hall phase diagram. Our results demonstrate SCCM's capability in decoding complex quantum phenomena, establishing it as a versatile nanoscale probe for electron correlation and topology. Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ; Strongly Correlated Electrons (cond-mat.str-el) Cite as: arXiv:2606.08237 [cond-mat.mes-hall] (or arXiv:2606.08237v1 [cond-mat.mes-hall] for this version) https://doi.org/10.48550/arXiv.2606.08237 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Nat Commun 17, 7986 (2026) Related DOI : https://doi.org/10.1038/s41467-026-74915-y Focus to learn more DOI(s) linking to related resources Submission history From: Shiyu Zhu [ view email ] [v1] Sat, 6 Jun 2026 15:48:22 UTC (1,260 KB) Full-text links: Access Paper: View PDF view license Current browse context: cond-mat.mes-hall < prev | next > new | recent | 2026-06 Change to browse by: cond-mat cond-mat.str-el References & Citations 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) Major funding support from (opens in new tab) (opens in new tab) (opens in new tab)

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