论文标题
kagome晶格上旋转液体存在的晶体化学标准
Crystal chemistry criteria of the existence of spin liquids on the kagome lattice
论文作者
论文摘要
已经计算并分析了类似于Herbertsmithite（Zncu3（OH）6Cl2）的25个AFM Kagome铜矿的结构磁模型（Zncu3（oh）6Cl2） - 一种透视旋转液体 - 已经计算出来。揭示了这些化合物的结构和磁性之间的主要相关性。已经证明，在所有AFM Kagome Cuprates中，包括Herbertsmithite，都存在交换互动与反对称对称各向异性交换之间的竞争（Dzyaloshinskii-Moriya的相互作用），因为磁离子与Kagome Lattice的逆向中心无关。 This competition is strengthened in all the kagome AFM, except herbertsmithite, by one more type of the anisotropy (duality) of the third in length J3 magnetic couplings (strong J3(J12) next-to-nearest-neighbor couplings in linear chains along the triangle edges and very weak FM or AFM J3(Jd) couplings along the hexagon diagonals).上面的耦合在晶体学上是相同的，但在强度磁相互作用的两种类型的耦合上。 J3耦合双重性的存在起源于Kagome晶格本身的结构。只有双重J3耦合与各向异性DM相互作用的组合贡献能够抑制Kagome AFM的挫败感。已经证明，在赫伯特史密斯（Herbertsmithite）中消除这种双重性的可能性（使其成为旋转液体）构成了Kagome系统中的罕见幸运事件。已经确定了旋转液体存在的三个晶体化学标准：首先，存在沮丧的kagome晶格，具有强大的主导抗磁性抗磁性的近距离邻居J1耦合，仅在小三角形中彼此竞争；其次，这些沮丧的kagome晶格的磁隔离；第三，长度为J3磁耦合中的第三个二元性。
The structural-magnetic models of 25 AFM kagome cuprates similar to herbertsmithite (ZnCu3(OH)6Cl2) - a perspective spin liquid - have been calculated and analyzed. Main correlations between the structure and magnetic properties of these compounds were revealed. It has been demonstrated that, in all AFM kagome cuprates, including herbertsmithite, there exists the competition between the exchange interaction and the antisymmetric anisotropic exchange one (the Dzyaloshinskii-Moriya interaction), as magnetic ions are not linked to the center of inversion in the kagome lattice. This competition is strengthened in all the kagome AFM, except herbertsmithite, by one more type of the anisotropy (duality) of the third in length J3 magnetic couplings (strong J3(J12) next-to-nearest-neighbor couplings in linear chains along the triangle edges and very weak FM or AFM J3(Jd) couplings along the hexagon diagonals). The above couplings are crystallographically identical, but are divided to two types of different in strength magnetic interactions. The existence of duality of J3 couplings originated from the structure of the kagome lattice itself. Only combined contributions of dual J3 couplings with anisotropic DM interactions are capable to suppress frustration of kagome AFM. It has been demonstrated that the possibility of elimination of such a duality in herbertsmithite, which made it a spin liquid, constitutes a rare lucky event in the kagome system. Three crystal chemistry criteria of the existence of spin liquids on the kagome lattice have been identified: first, the presence of frustrated kagome lattices with strong dominant antiferromagnetic nearest-neighbor J1 couplings competing only with each other in small triangles; second, magnetic isolation of these frustrated kagome lattices; and third, the absence of duality of the third in length J3 magnetic couplings.
