Flat bands on a spherical surface from Landau levels to giant-quantum-number orbitals
Abstract Flat bands result in a divergent density of states and high sensitivity to interactions in physical systems. While such bands are well known in systems under magnetic fields, their realization and behavior in zero-field settings remain largely unexplored. Here we compare the behavior of ele...
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Nature Portfolio
2025-07-01
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| Series: | Communications Physics |
| Online Access: | https://doi.org/10.1038/s42005-025-02208-9 |
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| _version_ | 1849764766437867520 |
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| author | Chen-Xin Jiang Zi-Xiang Hu Bo Yang |
| author_facet | Chen-Xin Jiang Zi-Xiang Hu Bo Yang |
| author_sort | Chen-Xin Jiang |
| collection | DOAJ |
| description | Abstract Flat bands result in a divergent density of states and high sensitivity to interactions in physical systems. While such bands are well known in systems under magnetic fields, their realization and behavior in zero-field settings remain largely unexplored. Here we compare the behavior of electrons confined to a single flat band on the surface of a sphere to those in flat bands under a magnetic field. The zero-field flat band exhibits an additional C(2) symmetry, which causes electrons to symmetrically cluster on opposite sides of the sphere’s center when a trapping potential is introduced, resulting in a unique form of long-range “entanglement”. To explore these findings experimentally, we propose a feasible setup to explore the unique properties of zero-field flat bands on spherical substrates, offering a promising route for studying interaction-driven states in spherical geometry without external fields. |
| format | Article |
| id | doaj-art-dca0cff44ea2494789f5aa8dd075321c |
| institution | DOAJ |
| issn | 2399-3650 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Communications Physics |
| spelling | doaj-art-dca0cff44ea2494789f5aa8dd075321c2025-08-20T03:05:03ZengNature PortfolioCommunications Physics2399-36502025-07-01811810.1038/s42005-025-02208-9Flat bands on a spherical surface from Landau levels to giant-quantum-number orbitalsChen-Xin Jiang0Zi-Xiang Hu1Bo Yang2Department of Physics, Chongqing UniversityDepartment of Physics, Chongqing UniversityDivision of Physics and Applied Physics, Nanyang Technological UniversityAbstract Flat bands result in a divergent density of states and high sensitivity to interactions in physical systems. While such bands are well known in systems under magnetic fields, their realization and behavior in zero-field settings remain largely unexplored. Here we compare the behavior of electrons confined to a single flat band on the surface of a sphere to those in flat bands under a magnetic field. The zero-field flat band exhibits an additional C(2) symmetry, which causes electrons to symmetrically cluster on opposite sides of the sphere’s center when a trapping potential is introduced, resulting in a unique form of long-range “entanglement”. To explore these findings experimentally, we propose a feasible setup to explore the unique properties of zero-field flat bands on spherical substrates, offering a promising route for studying interaction-driven states in spherical geometry without external fields.https://doi.org/10.1038/s42005-025-02208-9 |
| spellingShingle | Chen-Xin Jiang Zi-Xiang Hu Bo Yang Flat bands on a spherical surface from Landau levels to giant-quantum-number orbitals Communications Physics |
| title | Flat bands on a spherical surface from Landau levels to giant-quantum-number orbitals |
| title_full | Flat bands on a spherical surface from Landau levels to giant-quantum-number orbitals |
| title_fullStr | Flat bands on a spherical surface from Landau levels to giant-quantum-number orbitals |
| title_full_unstemmed | Flat bands on a spherical surface from Landau levels to giant-quantum-number orbitals |
| title_short | Flat bands on a spherical surface from Landau levels to giant-quantum-number orbitals |
| title_sort | flat bands on a spherical surface from landau levels to giant quantum number orbitals |
| url | https://doi.org/10.1038/s42005-025-02208-9 |
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