Long-range spin-orbital order in the spin-orbital SU(2)$\times$SU(2)$\times$U(1) model
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| Format: | Preprint |
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2022
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| _version_ | 1866914836842020864 |
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| author | Liu, Yang Xie, Z. Y. Luo, Hong-Gang Zhao, Jize |
| author_facet | Liu, Yang Xie, Z. Y. Luo, Hong-Gang Zhao, Jize |
| contents | By using the tensor-network state algorithm, we study a spin-orbital model with SU(2)$\times$SU(2)$\times$U(1) symmetry on the triangular lattice. This model was proposed to describe some triangular $d^1$ materials and was argued to host a spin-orbital liquid ground state. In our work the trial wavefunction of its ground state is approximated by an infinite projected entangled simplex state and optimized by the imaginary-time evolution. Contrary to the previous conjecture, we find that the two SU(2) symmetries are broken, resulting in a stripe spin-orbital order with the same magnitude $m=0.085(10)$. This value is about half of that in the spin-1/2 triangular Heisenberg antiferromagnet. Our result demonstrates that although the long-sought spin-orbital liquid is absent in this model the spin-orbital order is significantly reduced due to the enhanced quantum fluctuation. This suggests that high-symmetry spin-orbital models are promising in searching for exotic states of matter in condensed-matter physics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2211_06852 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Long-range spin-orbital order in the spin-orbital SU(2)$\times$SU(2)$\times$U(1) model Liu, Yang Xie, Z. Y. Luo, Hong-Gang Zhao, Jize Strongly Correlated Electrons Statistical Mechanics Computational Physics Quantum Physics By using the tensor-network state algorithm, we study a spin-orbital model with SU(2)$\times$SU(2)$\times$U(1) symmetry on the triangular lattice. This model was proposed to describe some triangular $d^1$ materials and was argued to host a spin-orbital liquid ground state. In our work the trial wavefunction of its ground state is approximated by an infinite projected entangled simplex state and optimized by the imaginary-time evolution. Contrary to the previous conjecture, we find that the two SU(2) symmetries are broken, resulting in a stripe spin-orbital order with the same magnitude $m=0.085(10)$. This value is about half of that in the spin-1/2 triangular Heisenberg antiferromagnet. Our result demonstrates that although the long-sought spin-orbital liquid is absent in this model the spin-orbital order is significantly reduced due to the enhanced quantum fluctuation. This suggests that high-symmetry spin-orbital models are promising in searching for exotic states of matter in condensed-matter physics. |
| title | Long-range spin-orbital order in the spin-orbital SU(2)$\times$SU(2)$\times$U(1) model |
| topic | Strongly Correlated Electrons Statistical Mechanics Computational Physics Quantum Physics |
| url | https://arxiv.org/abs/2211.06852 |