Flux fractionalization transition in anisotropic S=1 antiferromagnets and dimer-loop models

We demonstrate that the low temperature (T) properties of a class of anisotropic spin S=1 kagome (planar pyrochlore) antiferromagnets on a field-induced 1/3-magnetization (1/2-magnetization) plateau are described by a model of fully-packed dimers and loops on the honeycomb (square) lattice, with a temperature-dependent relative fugacity w(T) for the dimers. The fully-packed O(1) loop model (w=0) and the fully-packed dimer model (w=∞) limits of this dimer-loop model are found to be separated by a phase transition at a finite and nonzero critical fugacity w_c, with interesting consequences for the spin correlations of the frustrated magnet. The w>w_c phase has short loops and spin correlations dominated by power-law columnar order (with subdominant dipolar correlations), while the ww_c, proliferate in the w更多