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How do frustrations without disorder result in the spin-glass-like behavior of the kagomé antiferromagnet?

1994/07/13 by Vladimir Cherepanov, V. B. Cherepanov, Cherepanov, Vladimir
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed Matter (cond-mat) #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9407068

12 pages, RevTeX, and one encapsulated postscript file appended

arxiv created 1994/07/13 · openalex publication_date 1994/07/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Freezing of the classical spin liquid of the Heisenberg kagomé antiferromagnet is studied. At low temperature, the coplanar spin configurations are known to dominate among all possible three-dimensional low-energy states because of the fluctuation interaction. It is shown that the statistical weight of \bf q =0 domains is negligible. This allows one to describe coplanar states in terms of √(3)× √(3) domains with three possible spin orientations. The domain walls are mapped onto closed self-avoiding loops on the hexagonal lattice. The probability of domain formation is evaluated. It is shown that in FC (field cooled) regime a telescopic hierarchy of domains appears. The spatial and temporal behavior of the spin correlation function is estimated. The difference between FC and ZFC behavior is discussed.

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