We explore the phase diagram and the low-energy physics of three Heisenberg antiferromagnets which, like the kagome lattice, are networks of corner-sharing triangles but contain two sets of inequivalent short-distance resonance loops. We use a combination of exact diagonalization, analytical strong-coupling theories, and resonating valence bond approaches, and scan through the ratio of the two inequivalent exchange couplings. In one limit, the lattices effectively become bipartite, while at the opposite limit heavily frustrated nets emerge. In between, competing tunneling processes result in short-ranged spin correlations, a manifold of low-lying singlets (which can be understood as localized bound states of magnetic excitations), and the stabilization of valence bond crystals with resonating building blocks.
History
School
Science
Department
Physics
Published in
Physical Review B - Condensed Matter and Materials Physics
Volume
88
Issue
19
Citation
ROUSOCHATZAKIS, I., MOESSNER, R. and VAN DEN BRINK, J., 2013. Frustrated magnetism and resonating valence bond physics in two-dimensional kagome-like magnets. Physical Review B, 88 (19), 195109.
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
Publication date
2013
Notes
This paper was published in the journal Physical Review B and the definitive published version is available at https://doi.org/10.1103/PhysRevB.88.195109.