Ground-state phase diagram of the SU($4$) Heisenberg model on a plaquette lattice
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916375255056384 |
|---|---|
| author | Kaneko, Ryui Goto, Shimpei Danshita, Ippei |
| author_facet | Kaneko, Ryui Goto, Shimpei Danshita, Ippei |
| contents | We investigate the ground state of the SU($4$) Heisenberg model on a square lattice with spatial anisotropy on each plaquette bond using the tensor-network method based on infinite projected entangled pair states. We find that the SU($4$) singlet ground state appears in the strongly anisotropic limit, whereas Néel and valence-bond crystal orders coexist in the nearly isotropic limit. By examining the intermediate parameter region, we identify a phase transition between these phases. The nature of the phase transition is likely to be of first order, and the transition point is estimated to be around $J'/J\approx 0.85(5)$, where $J$ and $J'$ are the interaction strengths of intra- and interplaquette bonds, respectively. We also calculate the anisotropy dependence of singlet correlations on a plaquette bond, which will be useful for future experiments of ultracold atoms in optical lattices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05556 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ground-state phase diagram of the SU($4$) Heisenberg model on a plaquette lattice Kaneko, Ryui Goto, Shimpei Danshita, Ippei Quantum Gases Strongly Correlated Electrons Quantum Physics We investigate the ground state of the SU($4$) Heisenberg model on a square lattice with spatial anisotropy on each plaquette bond using the tensor-network method based on infinite projected entangled pair states. We find that the SU($4$) singlet ground state appears in the strongly anisotropic limit, whereas Néel and valence-bond crystal orders coexist in the nearly isotropic limit. By examining the intermediate parameter region, we identify a phase transition between these phases. The nature of the phase transition is likely to be of first order, and the transition point is estimated to be around $J'/J\approx 0.85(5)$, where $J$ and $J'$ are the interaction strengths of intra- and interplaquette bonds, respectively. We also calculate the anisotropy dependence of singlet correlations on a plaquette bond, which will be useful for future experiments of ultracold atoms in optical lattices. |
| title | Ground-state phase diagram of the SU($4$) Heisenberg model on a plaquette lattice |
| topic | Quantum Gases Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2407.05556 |