2005/01/31 by Cenke Xu, Joel E. Moore, J. E. Moore · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.72.064455
published as Phys. Rev. B 72, 064455 (2005) · 5 pages, 2 figures
arxiv created 2005/07/25 · openalex publication_date 2005/08/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The phase diagram of the uniaxially anisotropic s=1 antiferromagnet on the kagome lattice includes a critical line exactly described by the classical three-color model. This line is distinct from the standard geometric classical criticality that appears in the classical limit (s\ensuremath→\ensuremath∞) of the two-dimensional XY model; the s=1 geometric T=0 critical line separates two unconventional plaquette-ordered phases that survive to nonzero temperature. The experimentally important correlations at finite temperature and the nature of the transitions into these ordered phases are obtained using the mapping to the three-color model and a combination of perturbation theory and a variational ansatz for the ordered phases. The ordered phases show sixfold symmetry breaking and are similar to phases proposed for the honeycomb lattice dimer model and s=1∕2 XXZ model. The same mapping and phase transition can be realized also for integer spins s\ensuremath\geqslant2 but then require strong on-site anisotropy in the Hamiltonian.