Physics of low energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet

Details Physics of low energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet Physics of low energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet

2003-05-08

arxiv.org/abs/cond-mat/0305189v1

Physical Review B 68, 214415 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

17 pages, 11 figures

Scientific paper

10.1103/PhysRevB.68.214415

This paper is concerned with physics of the low energy singlet excitations found to exist below the spin gap in numerical studies of the Kagome lattice quantum Heisenberg antiferromagnet. Insight into the nature of these excitations is obtained by exploiting an approximate mapping to a fully frustrated transverse field Ising model on the dual dice lattice. This Ising model is shown to possess at least two phases - an ordered phase that also breaks translational symmetry with a large unit cell, and a paramagnetic phase. The former is argued to be a likely candidate for the ground state of the original Kagome magnet which thereby exhibits a specific pattern of dimer ordering with a large unit cell. Comparisons with available numerical results are made.

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