2004/05/31 by M. E. Zhitomirsky, Hirokazu Tsunetsugu · 4 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Theoretical and Computational Physics #Topological Materials and Phenomena #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.70.100403
published as Phys. Rev. B 70, 100403 (2004) · 5 pages, 2 figures, replaced with accepted version
arxiv created 2004/08/18 · openalex publication_date 2004/09/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Low-energy degrees of freedom of a spin-1∕2 kagom'e antiferromagnet in the vicinity of the saturation field are mapped to a hard-hexagon model on a triangular lattice. The latter model is exactly solvable. The presented mapping allows us to obtain the quantitative description of the magnetothermodynamics of a quantum kagom'e antiferromagnet up to exponentially small corrections as well as predict the critical behavior for the transition into a magnon crystal state. Analogous mapping is presented for the sawtooth chain, which is mapped onto a model of classical hard dimers on a chain.