Ground state of the spin-1/2 kagome-lattice Heisenberg antiferromagnet
By Rajiv R. P. Singh, D. Huse. 2007
149 citations recorded by the source corpus.
Using series expansions around the dimer limit, we show that the ground state of the Heisenberg Antiferromagnet on the Kagome Lattice appears to be a Valence Bond Crystal (VBC) with a 36-site unit cell, and an energy per site of $E/J=-0.433\pm0.001$. It is a honeycomb lattice of `perfect hexagons' as discussed by Nikolic and Senthil. The energy difference between the ground state and other ordered states with the maximum number of `perfect hexagons', such as a stripe-ordered state, is of order $0.001 J$. The energy of the 36-site system with periodic boundary conditions is further lowered by an amount of $0.005\pm 0.001 J$, consistent with Exact Diagonalization. Every unit cell of the VBC has two singlet states whose degeneracy is not lifted to $6th$ order in the expansion. We estimate this energy difference to be smaller than $0.001 J$. Two leading orders of perturbation theory find the lowest-energy triplet excitations to be dispersionless and confined to the `perfect hexagons'.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/46930291b752a1e2b1958aa777b8c26b02868571
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors (2010, background): “However, a few years ago a series expansion study (Singh and Huse, 2007) found that the ground state was actually a valence bond crystal with a unit cell of 36 spins.”