Possible chiral spin liquid state in the $S=1/2$ kagome Heisenberg model
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866910317138673664 |
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| author | Sun, Rong-Yang Jin, Hui-Ke Tu, Hong-Hao Zhou, Yi |
| author_facet | Sun, Rong-Yang Jin, Hui-Ke Tu, Hong-Hao Zhou, Yi |
| contents | 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 might be a chiral spin liquid. Combining the density matrix renormalization group method and 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. We characterize the nature of the ground state by computing energy derivatives, revealing ground-state degeneracy arising from spontaneous breaking of time-reversal symmetry, and targeting the semion sector. We further investigate the phase diagram in the vicinity of the KHAF and observe a $\sqrt{3}\times\sqrt{3}$ magnetically ordered phase and two valence-bond crystal phases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_07321 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Possible chiral spin liquid state in the $S=1/2$ kagome Heisenberg model Sun, Rong-Yang Jin, Hui-Ke Tu, Hong-Hao Zhou, Yi Strongly Correlated Electrons 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 might be a chiral spin liquid. Combining the density matrix renormalization group method and 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. We characterize the nature of the ground state by computing energy derivatives, revealing ground-state degeneracy arising from spontaneous breaking of time-reversal symmetry, and targeting the semion sector. We further investigate the phase diagram in the vicinity of the KHAF and observe a $\sqrt{3}\times\sqrt{3}$ magnetically ordered phase and two valence-bond crystal phases. |
| title | Possible chiral spin liquid state in the $S=1/2$ kagome Heisenberg model |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2203.07321 |