Hidden long range order in Heisenberg Kagome antiferromagnets
Strongly Correlated Electrons
2007-05-23 v3 Materials Science
Abstract
We give a physical picture of the low-energy sector of the spin 1/2 Heisenberg Kagome antiferromagnet (KAF). It is shown that Kagome lattice can be presented as a set of stars which are arranged in a triangular lattice and contain 12 spins. Each of these stars has two degenerate singlet ground states which can be considered in terms of pseudospin. As a result of interaction between stars we get Hamiltonian of the Ising ferromagnet in magnetic field. So in contrast to the common view there is a long range order in KAF consisting of definite singlet states of the stars.
Cite
@article{arxiv.cond-mat/0202117,
title = {Hidden long range order in Heisenberg Kagome antiferromagnets},
author = {A. V. Syromyatnikov and S. V. Maleyev},
journal= {arXiv preprint arXiv:cond-mat/0202117},
year = {2007}
}
Comments
4 pages, 3 figures, submitted to Physical Review Letters