Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-07-06
Phys. Rev. B 76, 180407 (2007)
Physics
Condensed Matter
Strongly Correlated Electrons
Scientific paper
10.1103/PhysRevB.76.180407
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'.
Huse David A.
Singh Rajiv R. P.
No associations
LandOfFree
Ground State of the Kagome Lattice Heisenberg Antiferromagnet does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Ground State of the Kagome Lattice Heisenberg Antiferromagnet, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ground State of the Kagome Lattice Heisenberg Antiferromagnet will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-89935