2005/01/19 by M. E. Zhitomirsky · 1 citation
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Coupling constant #Dimer #Excited state #Hamiltonian (control theory) #Hexagonal lattice #Lattice (music) #Low energy #Mathematics #Nuclear magnetic resonance #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum mechanics #Singlet state #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.71.214413
published as Phys. Rev. B 71, 214413 (2005) · 7 pages, 3 figures
arxiv created 2005/01/19 · openalex publication_date 2005/06/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
An effective spin-orbit Hamiltonian is derived for a spin-1∕2 trimerized kagom'e antiferromagnet in the second-order of perturbation theory in the ratio of two coupling constants. Low-energy singlet states of the obtained model are mapped to a quantum dimer model on a triangular lattice. The quantum dimer model is dominated by dimer resonances on a few shortest loops of the triangular lattice. The characteristic energy scale for the dimer model constitutes only a small fraction of the weaker exchange coupling constant.