Department of Physics TQM, Technische Universität München, James-Franck-Straße 1, D-85748 Garching, Germany.
Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China; Computational Materials Science Research Team, RIKEN Center for Computational Science (R-CCS), Kobe, Hyogo 650-0047, Japan; Quantum Computational Science Research Team, RIKEN Center for Quantum Computing (RQC), Wako, Saitama 351-0198, Japan.
Sci Bull (Beijing). 2022 May 15;67(9):918-923. doi: 10.1016/j.scib.2022.03.004. Epub 2022 Mar 9.
The simplest spin-orbital model can host a nematic spin-orbital liquid state on the triangular lattice. We provide clear evidence that the ground state of the SU(4) Kugel-Khomskii model on the triangular lattice can be well described by a "single" Gutzwiller projected wave function with an emergent parton Fermi surface, despite it exhibits strong finite-size effect in quasi-one-dimensional cylinders. The finite-size effect can be resolved by the fact that the parton Fermi surface consists of open orbits in the reciprocal space. Thereby, a stripy liquid state is expected in the two-dimensional limit, which preserves the SU(4) symmetry while breaks the translational symmetry by doubling the unit cell along one of the lattice vector directions. It is indicative that these stripes are critical and the central charge is c=3, in agreement with the SU(4) Wess-Zumino-Witten conformal field theory. All these results are consistent with the Lieb-Schultz-Mattis-Oshikawa-Hastings theorem.
最简单的自旋轨道模型可以在三角晶格上承载向列自旋轨道液体状态。我们提供了明确的证据，表明三角晶格上 SU(4)Kugel-Khomskii 模型的基态可以很好地用“单一”Gutzwiller 投影波函数来描述，尽管它在准一维圆柱中表现出强烈的有限大小效应。有限大小效应可以通过以下事实来解决：部分子费米面由倒易空间中的开放轨道组成。因此，预计在二维极限下会出现条纹状液体状态，该状态保持 SU(4)对称性，同时通过沿晶格矢量方向之一将单位胞加倍来破坏平移对称性。这表明这些条纹是临界的，中心电荷为 c=3，与 SU(4)Wess-Zumino-Witten 共形场论一致。所有这些结果都与 Lieb-Schultz-Mattis-Oshikawa-Hastings 定理一致。
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