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Spatially anisotropic Heisenberg kagome antiferromagnet

2008/07/31 by Andreas P. Schnyder, Oleg A. Starykh, Leon Balents · 4 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.78.174420

published as Phys. Rev. B 78, 174420 (2008) · 17 pages, 3 figures, corrected sign error, corrected typos, updated references

arxiv created 2008/10/29 · openalex publication_date 2008/11/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the quasi-one-dimensional limit of the spin-1/2 quantum Heisenberg antiferromagnet on the kagome lattice. The lattice is divided into antiferromagnetic spin chains (exchange J) that are weakly coupled via intermediate ``dangling'' spins (exchange J^\ensuremath'). Using one-dimensional bosonization, renormalization-group methods, and current algebra techniques, the ground state is determined in the limit J^\ensuremath'⪡J. We find that the dangling spins and chain spins form a spiral with O(1) and O(J^\ensuremath'/J) static moments, respectively, atop of which the chain spins exhibit a smaller O[(J^\ensuremath'/J)2] antiferromagnetically ordered component along the axis perpendicular to the spiral plane.

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