Possible chiral spin liquid state in the S = 1/2 kagome Heisenberg model
Abstract The nature of the ground state for the S = 1/2 Kagome Heisenberg antiferromagnet (KHAF) has been elusive. We revisit this challenging problem and provide numerical evidence that its ground state is a chiral spin liquid. Combining the density matrix renormalization group method with analytic...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-02-01
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| Series: | npj Quantum Materials |
| Online Access: | https://doi.org/10.1038/s41535-024-00627-5 |
| _version_ | 1827328781133545472 |
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| author | Rong-Yang Sun Hui-Ke Jin Hong-Hao Tu Yi Zhou |
| author_facet | Rong-Yang Sun Hui-Ke Jin Hong-Hao Tu Yi Zhou |
| author_sort | Rong-Yang Sun |
| collection | DOAJ |
| description | Abstract The nature of the ground state for the S = 1/2 Kagome Heisenberg antiferromagnet (KHAF) has been elusive. We revisit this challenging problem and provide numerical evidence that its ground state is a chiral spin liquid. Combining the density matrix renormalization group method with analytical analyses, we demonstrate that the previously observed chiral spin liquid phase in the KHAF with longer-range couplings is stable in a broader region of the phase diagram. We characterize the nature of the ground state by computing energy derivatives, revealing the ground-state degeneracy arising from the spontaneous breaking of the time-reversal symmetry, and targeting the semion sector. We further investigate the phase diagram in the vicinity of the KHAF and observe a $$\sqrt{3}\times \sqrt{3}$$ 3 × 3 magnetically ordered phase and two valence-bond crystal phases. |
| first_indexed | 2024-03-07T15:22:16Z |
| format | Article |
| id | doaj.art-c5864a9237f944c492dd53e9060ffe4b |
| institution | Directory Open Access Journal |
| issn | 2397-4648 |
| language | English |
| last_indexed | 2024-03-07T15:22:16Z |
| publishDate | 2024-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | npj Quantum Materials |
| spelling | doaj.art-c5864a9237f944c492dd53e9060ffe4b2024-03-05T17:36:12ZengNature Portfolionpj Quantum Materials2397-46482024-02-01911710.1038/s41535-024-00627-5Possible chiral spin liquid state in the S = 1/2 kagome Heisenberg modelRong-Yang Sun0Hui-Ke Jin1Hong-Hao Tu2Yi Zhou3Computational Materials Science Research Team, RIKEN Center for Computational Science (R-CCS)Technical University of Munich, TUM School of Natural Sciences, Physics DepartmentInstitut für Theoretische Physik, Technische Universität DresdenKavli Institute for Theoretical Sciences, University of Chinese Academy of SciencesAbstract The nature of the ground state for the S = 1/2 Kagome Heisenberg antiferromagnet (KHAF) has been elusive. We revisit this challenging problem and provide numerical evidence that its ground state is a chiral spin liquid. Combining the density matrix renormalization group method with analytical analyses, we demonstrate that the previously observed chiral spin liquid phase in the KHAF with longer-range couplings is stable in a broader region of the phase diagram. We characterize the nature of the ground state by computing energy derivatives, revealing the ground-state degeneracy arising from the spontaneous breaking of the time-reversal symmetry, and targeting the semion sector. We further investigate the phase diagram in the vicinity of the KHAF and observe a $$\sqrt{3}\times \sqrt{3}$$ 3 × 3 magnetically ordered phase and two valence-bond crystal phases.https://doi.org/10.1038/s41535-024-00627-5 |
| spellingShingle | Rong-Yang Sun Hui-Ke Jin Hong-Hao Tu Yi Zhou Possible chiral spin liquid state in the S = 1/2 kagome Heisenberg model npj Quantum Materials |
| title | Possible chiral spin liquid state in the S = 1/2 kagome Heisenberg model |
| title_full | Possible chiral spin liquid state in the S = 1/2 kagome Heisenberg model |
| title_fullStr | Possible chiral spin liquid state in the S = 1/2 kagome Heisenberg model |
| title_full_unstemmed | Possible chiral spin liquid state in the S = 1/2 kagome Heisenberg model |
| title_short | Possible chiral spin liquid state in the S = 1/2 kagome Heisenberg model |
| title_sort | possible chiral spin liquid state in the s 1 2 kagome heisenberg model |
| url | https://doi.org/10.1038/s41535-024-00627-5 |
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