Existence of Néel order in some spin-1/2 Heisenberg antiferromagnets
Existence of Néel order in some spin-1/2 Heisenberg antiferromagnets
复制标题
一些自旋 1/2 海森堡反铁磁体中存在尼尔级
DOI：
10.1007/bf01023854
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发表时间：
1988
影响因子：
1.6
通讯作者：
B. Shastry
中科院分区：
文献类型：
--
作者：
T. Kennedy;E. Lieb;B. Shastry
推广Dyson、Lieb和Simon的方法，证明了立方晶格上自旋为1/2的3D海森堡反铁磁体的基态存在Néel序.我们还考虑了立方晶格上自旋为1/2的反铁磁体，其中三个晶格方向中的一个晶格方向上的耦合取ber乘以其在另外两个晶格方向上的耦合值。我们证明了0.16 π r π 1的Néel阶的存在性。对于二维自旋1/2模型，我们给出了一系列不等式，这些不等式仅在短距离处涉及两点函数，并且每个不等式本身都隐含Néel序。
The methods of Dyson, Lieb, and Simon are extended to prove the existence of Néel order in the ground state of the 3D spin-1/2 Heisenberg antiferromagnet on the cubic lattice. We also consider the spin-1/2 antiferromagnet on the cubic lattice with the coupling in one of the three lattice directions taken to ber times its value in the other two lattice directions. We prove the existence of Néel order for 0.16⩽r⩽1. For the 2D spin-1/2 model we give a series of inequalities which involve the two-point function only at short distances and each of which would by itself imply Néel order.