论文标题
旋转轨道SU（2）$ \ times $ su（2）$ \ times $ u（1）型号
Long-range spin-orbital order in the spin-orbital SU(2)$\times$SU(2)$\times$U(1) model
论文作者
论文摘要
通过使用张量 - 网络状态算法，我们研究了带有SU（2）$ \ times $ su（2）$ \ times $ u（1）对称对称性的SU（2）旋转轨道模型。提出了该模型来描述一些三角形$ d^1 $材料，并被认为是托有旋转轨道液态基态。在我们的工作中，其基态的试验波函数通过一个无限的投影纠结的单纯形状近似，并通过虚拟时间的演变进行了优化。与以前的猜想相反，我们发现两个SU（2）对称性被打破，导致条纹旋转轨道顺序，相同幅度$ M = 0.085（10）$。该值约为Spin-1/2三角形海森贝格抗fiferromagnet中的一半。我们的结果表明，尽管在该模型中不存在长期的自旋轨道液体，但由于量子波动的增强，自旋轨道顺序大大降低。这表明，高对称性自旋轨道模型有望在凝结物理学中寻找物质的外来状态。
By using the tensor-network state algorithm, we study a spin-orbital model with SU(2)$\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.
