完全阻挫量子自旋系统的基态性质
Ground state properties of a fully frustrated quantum spin system
摘要：
我们发现几何阻挫烧绿石棋盘格点上量子海森堡反铁磁体的基态是单态，并且可以用正矩阵表示。在零外场下，每个阻挫四面体单元的磁化强度分别为零，并且在有限温度下和基态下，磁化率都有1/8的上界.这些结果是该领域的第一个精确结果，并推广到其他一些晶格;该方法对其他自旋系统也有意义。
英文摘要：
We find that ground states of the quantum Heisenberg antiferromagnet on the geometrically frustrated pyrochlore checkerboard lattice are singlets and can be expressed in terms of positive matrices. The magnetization at zero external field vanishes for each frustrated tetrahedral unit separately and there is an upper bound of 1/8 in natural units on the susceptibility both for the ground state and at finite temperature. These results are the first exact ones in this field and generalize to some other lattices; the approach is also of interest for other spin systems.
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