Hidden long range order in Heisenberg Kagome antiferromagnets

Details Hidden long range order in Heisenberg Kagome antiferromagnets Hidden long range order in Heisenberg Kagome antiferromagnets

2002-02-07

arxiv.org/abs/cond-mat/0202117v3

Phys. Rev. B 66, 132408 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevB.66.132408

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.

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