Residual entropy and spin gap in a one-dimensional frustrated antiferromagnet

被引：30

作者：

Mambrini, M ^{[1
]}

Trébosc, J ^{[1
]}

Mila, F ^{[1
]}

机构：

[1] Univ Toulouse 3, Phys Quant Lab, F-31062 Toulouse, France

来源：

PHYSICAL REVIEW B | 1999年 / 59卷 / 21期

关键词：

D O I：

10.1103/PhysRevB.59.13806

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We show that the low-energy sector of the S = 1/2, antiferromagnetic Heisenberg model on a one dimensional lattice of coupled tetrahedra consists of 2(N) replica of the spectrum of the dimerized Heisenberg chain, where N is the number of tetrahedra. This provides a proof of the following properties: (i) there isa residual ground-state entropy per spin equal to (1/4)ln2; (ii) there is a singlet-triplet gap as long as the coupling between the tetrahedra is smaller than the internal one. These properties are compared to available results on the pyrochlore lattice. [S0163-1829(99)03421-9].

引用

页码：13806 / 13809

页数：4

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