Theoretical studies of the novel magnetic orders emergent from quantum spin liquids

在低维磁体中，各种拓扑不同的量子自旋流体相，从它们中涌现出新型的有序相，这些相之间的量子相变是由自旋大小和相互作用的空间变化、挫败感、随机性、量子效应和相互作用的相互作用引起的。利用数值精确对角化、密度矩阵重整化群、蒙特卡罗法等计算方法，以及精确解、低能量有效理论、修正自旋波法等解析方法，阐明了它们的性质。

In the low dimensional magnets, various topologically different quantum spin fluid phases, novel types of ordered phases emergent from them, and the quantum phase transitions between these phases are induced by the interplay of frustration, randomness, quantum effects, and spatial variation of the spin magnitudes and interactions. We have clarified their nature using the computational methods such as numerical exact diagonalization, density matrix renormalization group, and Monte Carlo method in addition to the analytical methods such as exact solution, low energy effective theory, and modified spin wave method.