Chemistry of the spin-1/2 kagome Heisenberg antiferromagnet

Abstract

We believe that a necessary first step in understanding the ground state properties of the spin-$\frac{1}{2}$ kagome Heisenberg antiferromagnet is a better understanding of this model's very large number of low energy singlet states. A description of the low energy states that is both accurate and amenable for numerical work may ultimately prove to have greater value than knowing only what these properties are, in particular when these turn on the delicate balance of many small energies. We demonstrate how this program would be implemented using the basis of spin-singlet dimerized states, though other bases that have been proposed may serve the same purpose. The quality of a basis is evaluated by its participation in all the low energy singlets, not just the ground state. From an experimental perspective, and again in light of the small energy scales involved, methods that can deliver all the low energy states promise more robust predictions than methods that only refine a fraction of these states.

arXiv comment9 pages, 6 figures, 1 table

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Cited by in corpus (3)

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• Gutzwiller-projected states for the $J_1$-$J_2$ Heisenberg model on the kagome lattice: achievements and pitfalls
• Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions