Abstract
Dilute magnets with short range interactions provide an interesting laboratory for theories of percolation.1 Corresponding to the qualitative change of geometry of the percolating cluster as the concentration of magnetic ions decreases to the percolation threshold, the low frequency dynamics are different: coefficients in the hydrodynamic theory of spin-waves are singular in a way that reflects the geometry of the percolating cluster.
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Ziman, T. (1991). Low Frequency Dynamics of Dilute Antiferromagnets at Percolation. In: Pynn, R., Skjeltorp, A. (eds) Scaling Phenomena in Disordered Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1402-9_28
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DOI: https://doi.org/10.1007/978-1-4757-1402-9_28
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