Chern-Simons theory of magnetization plateaus of the spin- 1 2 quantum XXZ Heisenberg model on the kagome lattice
Chern-Simons theory of magnetization plateaus of the spin- 1 2 quantum XXZ Heisenberg model on the kagome lattice
复制标题
Kagome 晶格上自旋 1 2 量子 XXZ 海森堡模型的磁化平台陈-西蒙斯理论
DOI：
10.1103/physrevb.90.174409
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发表时间：
2014
影响因子：
3.7
通讯作者：
E. Fradkin
中科院分区：
文献类型：
--
作者：
K. Kumar;K. Sun;E. Fradkin
平均年龄的物理学。使用最近开发的方法，严格扩展的Chern-Simons长期受挫Kagome格，我们现在可以正式的Jordan Wigner变换Kagome格。然后我们讨论了从这个映射中在平均场水平上可能出现的相位，并特别关注13-lling（m = 1 plateau）的情况，并分析了我们理论中涨落的影响。我们证明了在XY各向异性区域中，基态在1=3平台处等价于一个玻色子分数量子Hall Laughlin态，其lling分数为1
the mean-eld physics. Using a recently developed method to rigorously extend the Chern-Simons term to the frustrated Kagome lattice we can now formalize the Jordan-Wigner transformation on the Kagome lattice. We then discuss the possible phases that can arise at the mean-eld level from this mapping and focus specically on the case of 1 3 -lling ( m = 1 plateau) and analyze the eects of uctuations in our theory. We show that in the regime of XY anisotropy the ground state at the 1=3 plateau is equivalent to a bosonic fractional quantum Hall Laughlin state with lling fraction 1