论文标题
与YBMGGAO $ _4 $有关的各向异性海森贝格模型的确切对角线化研究
Exact diagonalization study of the anisotropic Heisenberg model related to YbMgGaO$_4$
论文作者
论文摘要
我们采用精确的对角度化，系统地研究了与稀土三角晶格材料有关的各向异性海森堡模型。我们重新探测其完整的3D相图，并确定一个大区域的量子旋转液体（QSL）相，该相位可以扩展到$ J_1 $ -J_1 $ -J_2 $三角形海森伯格模型的QSL区域。此外，我们探索了不同相的磁化曲线，并在量子自旋液相区域中重现了1/3-磁化平台。更重要的是，要研究实际材料中可能的化学疾病，我们考虑交换相互作用的随机性，并且没有发现自旋玻璃顺序。并且有一个大区域的随机阶段，其中包含强烈的随机自旋网络，以两旋旋，四旋式单元和其他单型域主导。我们全面的ED研究可以对与YBMGGAO $ _4 $以及其他一些相关的稀有三角形晶体材料相关的微观哈密顿式的详细了解。
Employing exact diagonalization, we systematically study the anisotropic Heisenberg model which is related to rare-earth triangular-lattice materials. We probe its full 3D phase diagram afresh and identify a large region of quantum spin liquid (QSL) phase which can extend to the QSL region of the $J_1$--$J_2$ triangular Heisenberg model. Furthermore, we explore the magnetization curves of different phases and reproduce the 1/3-magnetization plateau in the quantum spin liquid phase region. More importantly, to study the possible chemical disorders in real materials, we consider the randomness of exchange interactions and find no spin glass order. And there is a large region of random-singlet phase which contains strongly random spin networks, dominated by two-spin singlets, four-spin singlets and other singlet domains. Our comprehensive ED study can give detailed insightful understanding of the microscopic Hamiltonian related to the YbMgGaO$_4$ and some other related rare-earth triangular-lattice materials.
