Quantum disordered ground states in frustrated antiferromagnets with multiple ring exchange interactions
Quantum disordered ground states in frustrated antiferromagnets with multiple ring exchange interactions
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DOI：
10.1103/physrevb.72.024429
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发表时间：
2005-01
影响因子：
3.7
通讯作者：
S. Fujimoto
中科院分区：
文献类型：
--
作者：
S. Fujimoto
我们提出了一类具有多环交换相互作用的二维受抑量子海森堡自旋系统，严格证明了该系统具有量子无序基态，没有磁性长程有序。本文所考虑的系统是$s=1 scin 2$的反铁磁体在蜂窝和正方形晶格，和一个$s=1$的反铁磁体在三角形晶格。我们发现，对于一组特定的参数值，基态是一个短程共振价键态或价键晶体状态。结果表明，这些系统是密切相关的量子二聚体模型介绍的Rokhsar和Kivelson作为一个有效的低能价键态理论。
We present a certain class of two-dimensional frustrated quantum Heisenberg spin systems with multiple ring exchange interactions which are rigorously demonstrated to have quantum disordered ground states without magnetic long-range order. The systems considered in this paper are $s=1∕2$ antiferromagnets on a honeycomb and square lattices, and an $s=1$ antiferromagnet on a triangular lattice. We find that for a particular set of parameter values, the ground state is a short-range resonating valence bond state or a valence bond crystal state. It is shown that these systems are closely related to the quantum dimer model introduced by Rokhsar and Kivelson as an effective low-energy theory for valence bond states.