Isolated flat band in artificially designed Lieb lattice based on macrocycle supramolecular crystal
Abstract Isolated flat bands are known to host various strongly correlated phases due to the enhanced Coulomb interactions when the flat bands are gapped from dispersive bands. One way to achieve an isolated flat band is by breaking the on-site energy symmetry in a Lieb lattice. In this study, we de...
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2024-04-01
|
| Series: | Communications Materials |
| Online Access: | https://doi.org/10.1038/s43246-024-00501-8 |
| _version_ | 1797199283052609536 |
|---|---|
| author | Cheng-Yi Chen En Li Huilin Xie Jianyu Zhang Jacky Wing Yip Lam Ben Zhong Tang Nian Lin |
| author_facet | Cheng-Yi Chen En Li Huilin Xie Jianyu Zhang Jacky Wing Yip Lam Ben Zhong Tang Nian Lin |
| author_sort | Cheng-Yi Chen |
| collection | DOAJ |
| description | Abstract Isolated flat bands are known to host various strongly correlated phases due to the enhanced Coulomb interactions when the flat bands are gapped from dispersive bands. One way to achieve an isolated flat band is by breaking the on-site energy symmetry in a Lieb lattice. In this study, we demonstrate the design of such a Lieb lattice. The self-assembly of square-shaped macrocycle molecules on a Ag(111) surface forms a two-dimensional supramolecular crystal, comprising three types of nanopores with different sizes arranged in a Lieb lattice. The surface-state electrons of the Ag(111) substrate confined by these nanopores behave as quantum dots with specific energies depending on the pore size. Using scanning tunneling spectroscopy and plane-wave quantum simulation, we reveal that this artificial Lieb lattice exhibits an isolated flat band gapped at 0.16 eV from the nearest band. The supramolecular crystal is nearly defect-free and extends to sub-micrometer size, making it a practical platform for exploring the exotic properties of the isolated flat band. |
| first_indexed | 2024-04-24T07:13:17Z |
| format | Article |
| id | doaj.art-ad5ca660ef854585a6bb87663b3d418b |
| institution | Directory Open Access Journal |
| issn | 2662-4443 |
| language | English |
| last_indexed | 2024-04-24T07:13:17Z |
| publishDate | 2024-04-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Communications Materials |
| spelling | doaj.art-ad5ca660ef854585a6bb87663b3d418b2024-04-21T11:25:06ZengNature PortfolioCommunications Materials2662-44432024-04-01511610.1038/s43246-024-00501-8Isolated flat band in artificially designed Lieb lattice based on macrocycle supramolecular crystalCheng-Yi Chen0En Li1Huilin Xie2Jianyu Zhang3Jacky Wing Yip Lam4Ben Zhong Tang5Nian Lin6Department of Physics, The Hong Kong University of Science and TechnologyDepartment of Physics, The Hong Kong University of Science and TechnologyDepartment of Chemistry and the Hong Kong Branch of Chinese National Engineering Research Center for Tissue Restoration and Reconstruction, The Hong Kong University of Science and TechnologyDepartment of Chemistry and the Hong Kong Branch of Chinese National Engineering Research Center for Tissue Restoration and Reconstruction, The Hong Kong University of Science and TechnologyDepartment of Chemistry and the Hong Kong Branch of Chinese National Engineering Research Center for Tissue Restoration and Reconstruction, The Hong Kong University of Science and TechnologyDepartment of Chemistry and the Hong Kong Branch of Chinese National Engineering Research Center for Tissue Restoration and Reconstruction, The Hong Kong University of Science and TechnologyDepartment of Physics, The Hong Kong University of Science and TechnologyAbstract Isolated flat bands are known to host various strongly correlated phases due to the enhanced Coulomb interactions when the flat bands are gapped from dispersive bands. One way to achieve an isolated flat band is by breaking the on-site energy symmetry in a Lieb lattice. In this study, we demonstrate the design of such a Lieb lattice. The self-assembly of square-shaped macrocycle molecules on a Ag(111) surface forms a two-dimensional supramolecular crystal, comprising three types of nanopores with different sizes arranged in a Lieb lattice. The surface-state electrons of the Ag(111) substrate confined by these nanopores behave as quantum dots with specific energies depending on the pore size. Using scanning tunneling spectroscopy and plane-wave quantum simulation, we reveal that this artificial Lieb lattice exhibits an isolated flat band gapped at 0.16 eV from the nearest band. The supramolecular crystal is nearly defect-free and extends to sub-micrometer size, making it a practical platform for exploring the exotic properties of the isolated flat band.https://doi.org/10.1038/s43246-024-00501-8 |
| spellingShingle | Cheng-Yi Chen En Li Huilin Xie Jianyu Zhang Jacky Wing Yip Lam Ben Zhong Tang Nian Lin Isolated flat band in artificially designed Lieb lattice based on macrocycle supramolecular crystal Communications Materials |
| title | Isolated flat band in artificially designed Lieb lattice based on macrocycle supramolecular crystal |
| title_full | Isolated flat band in artificially designed Lieb lattice based on macrocycle supramolecular crystal |
| title_fullStr | Isolated flat band in artificially designed Lieb lattice based on macrocycle supramolecular crystal |
| title_full_unstemmed | Isolated flat band in artificially designed Lieb lattice based on macrocycle supramolecular crystal |
| title_short | Isolated flat band in artificially designed Lieb lattice based on macrocycle supramolecular crystal |
| title_sort | isolated flat band in artificially designed lieb lattice based on macrocycle supramolecular crystal |
| url | https://doi.org/10.1038/s43246-024-00501-8 |
| work_keys_str_mv | AT chengyichen isolatedflatbandinartificiallydesignedlieblatticebasedonmacrocyclesupramolecularcrystal AT enli isolatedflatbandinartificiallydesignedlieblatticebasedonmacrocyclesupramolecularcrystal AT huilinxie isolatedflatbandinartificiallydesignedlieblatticebasedonmacrocyclesupramolecularcrystal AT jianyuzhang isolatedflatbandinartificiallydesignedlieblatticebasedonmacrocyclesupramolecularcrystal AT jackywingyiplam isolatedflatbandinartificiallydesignedlieblatticebasedonmacrocyclesupramolecularcrystal AT benzhongtang isolatedflatbandinartificiallydesignedlieblatticebasedonmacrocyclesupramolecularcrystal AT nianlin isolatedflatbandinartificiallydesignedlieblatticebasedonmacrocyclesupramolecularcrystal |