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Low Frequency Dynamics of Dilute Antiferromagnets at Percolation

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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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References

  1. R.A. Cowley, R.J. Birgeneau and G. Shirane in g“Ordering in Strongly Fluctuating Condensed Matter Systems” T. Riste, ed., Plenum Press, New York (1979)

    Google Scholar 

  2. A.B. Harris and S. Kirkpatrick Phys. Rev. B16 542 (1977)

    Article  Google Scholar 

  3. S. Alexander and R. Orbach J. Physique (Lettres) 43 L625 (1982)

    Article  Google Scholar 

  4. T.A.L. Ziman, J. Phys. C 12 2645 (1979)

    Article  Google Scholar 

  5. M.N. Barber in volume 8 of “Phase Transitions and Critical Phenomena” C. Domb and J.L. Lebowitz, eds., Academic Press, New York (1983)

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  6. J. Adler, M. Moshe and V. Privman in “Percolation structures and Processes (Annals of the Israel Physical Society vol. 5)”, G. Deutscher, R. Zallen and J. Adler, eds., Adam Hilger, Bristol (1983)

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  7. J. Adler, J. Phys. A 18 307 (1985)

    Article  MathSciNet  Google Scholar 

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© 1991 Springer Science+Business Media New York

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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

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1404-3

  • Online ISBN: 978-1-4757-1402-9

  • eBook Packages: Springer Book Archive

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