A two-dimensional isotropic quantum antiferromagnet with unique disordered ground state
A two-dimensional isotropic quantum antiferromagnet with unique disordered ground state
复制标题
具有独特无序基态的二维各向同性量子反铁磁体
DOI：
10.1007/bf01011563
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发表时间：
1988
影响因子：
1.6
通讯作者：
H. Tasaki
中科院分区：
文献类型：
--
作者：
T. Kennedy;E. Lieb;H. Tasaki
我们继续研究价键固体反铁磁量子哈密顿量。这些哈密顿量在自旋空间的旋转下是不变的。我们证明了此类的特定二维模型（六方晶格上的自旋 3/2 模型）在无限体积极限下具有独特的基态，因此没有尼尔阶。此外，所有截断的相关函数在此基态下呈指数衰减。我们还表征了这些模型的所有有限体积基态（在每个维度），并证明具有周期性边界条件的 spin-2 方晶格模型的两点相关函数具有指数衰减。
We continue the study of valence-bond solid antiferromagnetic quantum Hamiltonians. These Hamiltonians are invariant under rotations in spin space. We prove that a particular two-dimensional model from this class (the spin-3/2 model on the hexagonal lattice) has a unique ground state in the infinite-volume limit and hence no Néel order. Moreover, all truncated correlation functions decay exponentially in this ground state. We also characterize all the finite-volume ground states of these models (in every dimension), and prove that the two-point correlation function of the spin-2 square lattice model with periodic boundary conditions has exponential decay.