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Kagome lattice antiferromagnets and Dzyaloshinsky-Moriya interactions

2007/05/31 by Marcos Rigol, Rajiv R. P. Singh · 74 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Anisotropy #Chemistry #Condensed matter physics #Dilution #Geometry #Lattice (music) #Mathematics #Physics #Physics of Superconductivity and Magnetism #Plane (geometry) #Quantum mechanics #Thermodynamics #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.76.184403

published in Physical Review B 76(18) (American Physical Society) · 12 pages, 15 figures. Content, references, and comments on recent experiments have been added. Published version

arxiv created 2007/11/02 · openalex publication_date 2007/11/02 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the consequences of in-plane (Dp) and out-of-plane (Dz) Dzyaloshinsky-Moriya (DM) interactions on the thermodynamic properties of spin-(1)/(2) Heisenberg model on the kagome lattice using numerical linked cluster expansions and exact diagonalization and contrast them with those of other perturbations such as exchange anisotropy and dilution. We find that different combinations of the DM anisotropies lead to a wide variety of thermodynamic behavior, which are quite distinct from those of most other perturbations. We argue that the sudden upturn seen experimentally in the susceptibility of the material ZnCu3(OH)6Cl2 can be understood in terms of Dzyaloshinsky-Moriya anisotropies with Dp>\ensuremath|Dz\ensuremath|. We also show that the measured specific heat of the material puts further constraints on the allowed DM parameters.

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