论文标题
在存在猝灭障碍和挫败感的情况下，海森堡双层二聚体相的动态结构因子
Dynamic structure factor of Heisenberg bilayer dimer phases in the presence of quenched disorder and frustration
论文作者
论文摘要
我们研究了淬灭障碍对量子磁磁相中海森堡双层对正方形，三角形和kagome晶格的动态结构因子的影响。使用扰动连续的统一转换和白色图来计算一塔的贡献，直到对双峰和连续疾病的二聚体极限的扰动中高阶。对于平方晶格，我们发现间隙模式的寿命通过更强的量子相关性增加，而由于几何挫败感，三角形晶格的障碍效应更强。对于二聚体内疾病，可以观察到两个晶格的带内能隙，这些晶格可以通过在带有二聚体较低和高二聚体交换的二聚体上的水平排斥来理解，这些二聚体在带内间隙打开的动量时在能量上接近能量。对于高度沮丧的kagome晶格障碍，甚至可以减少间隙能量。此外，低能平坦频段的定位长度将增加到扰动理论$ 7 $的订单。因此，猝灭障碍，几何挫败感和强相关性的相互作用导致在二维量子磁体的动态结构因子中具有丰富的结构。
We investigate the influence of quenched disorder on the dynamic structure factor of Heisenberg bilayers on the square, triangular, and kagome lattice in the quantum paramagnetic phase. Perturbative continuous unitary transformations and white graphs are employed to calculate the one-triplon contribution up to high orders in perturbation about the dimer limit for bimodal and continuous disorder. For the square lattice we find that the lifetime of the gap mode is increased by stronger quantum correlations while stronger disorder effects are observed for the triangular lattice due to geometric frustration. For intra-dimer disorder, in-band energy gaps are observed for both lattices which can be understood in terms of a level repulsion on dimers with low and high intra-dimer exchange that are close in energy at the momentum where the in-band gap opens. For the highly frustrated kagome lattice disorder even allows to decrease the gap energy. In addition, the localization length of the low-energy flat band is increased up to order $7$ in perturbation theory. The interplay of quenched disorder, geometric frustration, and strong correlations leads therefore to rich structures in the dynamical structure factor of two-dimensional quantum magnets.
