Antiferromagnetic quantum spins on the pyrochlore lattice

被引：74

作者：

Tsunetsugu, H ^{[1
]}

机构：

[1] Univ Tsukuba, Inst Mat Sci, Tsukuba, Ibaraki 3058573, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2001年 / 70卷 / 03期

关键词：

geometrical frustration; Heisenberg antiferromagnet; pyrochlore lattice; dimerization; chirality;

D O I：

10.1143/JPSJ.70.640

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The ground state of the S = 1/2 Heisenberg antiferromagnet on the pyrochlore lattice is theoretically investigated. Starting from the limit of isolated tetrahedra, I include interactions between the tetrahedra and obtain an effective model for the spin-singlet ground state multiplet by third-order perturbation. I determine its ground state using the mean-field approximation and find a dimerized state with a four-sublattice structure, which agrees with the proposal by Harris et al. I also discuss chirality correlations and spin correlations for this state.

引用

页码：640 / 643

页数：4

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