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

Vladimir Cherepanov

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

Vladimir Cherepanov

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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 $\sqrt{3}\times \sqrt{3}$ 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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Vladimir Cherepanov. 1994-07-13. How do frustrations without disorder result in the spin-glass-like behavior of the kagomé antiferromagnet?. https://arxiv.org/abs/cond-mat/9407068

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