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arXiv 1207.6771cond-mat.str-elcond-mat.stat-mech
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准一维Kagome带状晶格上Heisenberg模型的亚铁磁性

Ferrimagnetism of the Heisenberg Models on the Quasi-One-Dimensional Kagome Strip Lattices

Tokuro Shimokawa, Hiroki Nakano

摘要:

利用精确对角化和密度矩阵重整化群方法研究了准一维kagome带格上S=1/2海森堡模型的基态性质.具有两种不同条带宽度的模型在其内部与空间各向异性的二维kagome晶格共享相同的晶格结构。当不存在磁阻挫时,这两种模型都实现了著名的Lieb-Mattis亚铁磁态。另一方面,当磁阻挫的强度增加时,Lieb-Mattis型亚铁磁性崩溃。我们发现在Lieb-Mattis亚铁磁态和基态之间存在一个非Lieb-Mattis亚铁磁态。局部磁化清楚地显示出在非Lieb-Mattis亚铁磁状态中具有长距离周期性的无公度调制。中间非Lieb-Mattis亚铁磁性状态的出现与条带宽度无关,这表明二维kagome晶格的中间相也是非Lieb-Mattis亚铁磁性。

英文摘要:

We study the ground-state properties of the S=1/2 Heisenberg models on the quasi-onedimensional kagome strip lattices by the exact diagonalization and density matrix renormalization group methods. The models with two different strip widths share the same lattice structure in their inner part with the spatially anisotropic two-dimensional kagome lattice. When there is no magnetic frustration, the well-known Lieb-Mattis ferrimagnetic state is realized in both models. When the strength of magnetic frustration is increased, on the other hand, the Lieb-Mattis-type ferrimagnetism is collapsed. We find that there exists a non-Lieb-Mattis ferrimagnetic state between the Lieb-Mattis ferrimagnetic state and the nonmagnetic ground state. The local magnetization clearly shows an incommensurate modulation with long-distance periodicity in the non-Lieb-Mattis ferrimagnetic state. The intermediate non-Lieb-Mattis ferrimagnetic state occurs irrespective of strip width, which suggests that the intermediate phase of the two-dimensional kagome lattice is also the non-Lieb-Mattis-type ferrimagnetism.

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