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Spin Dynamics on Percolating Networks

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Scaling Phenomena in Disordered Systems

Abstract

We have used inelastic neutron scattering to measure the order parameter relaxation rate Γ in the dilute, two-dimensional Ising antiferromagnet Rb2CoMg1−cF4 with c very close to the magnetic percolation threshold. Where k is the inverse magnetic correlation length, Γ ~ k z with z=2.4 +0.2−0.1 . Our results are discussed in terms of current ideas about spin relaxation on fractals.

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References

  1. See, for example, S.-K. Ma, Modern Theory of Critical Phenomena, (Benjamin; Reading, MA, 1976).

    Google Scholar 

  2. A review of experiments on the percolation and random field problems is given by R. J. Birgeneau, R. A. Cowley, G. Shirane and H. Yoshizawa, J. Stat. Phys. 34, 817 (1984)

    Article  Google Scholar 

  3. The theory of percolation is reviewed by D. Stauffer, Phys. Rep. 54, 1 (1979).

    Article  Google Scholar 

  4. An early overview is Ill—condensed Matter, ed. R. Balian, R. Maynard, and-G. Toulouse (North Holland-World Scientific; Amsterdam-Singapore, 1983).

    Google Scholar 

  5. H. Sompolinsky and A. Zippelius, Phys. Rev. B25, 6860 (1982).

    Article  Google Scholar 

  6. R. Rammal and G. Toulouse, J. Phys. (Paris) I.étt. 44, L13 (1983)

    Article  Google Scholar 

  7. Y. Geffen, A. Aharony and J. Alexander, Phys, Rev. Lett. 50, 77 (1983).

    Article  Google Scholar 

  8. G. Aeppli, H. Guggenheim, and Y. J. Uemurâ, Phys. Rev. Lett. 52, 942 (1984).

    Article  Google Scholar 

  9. R. A. Cowley, R. J. Birgeneau, G. Shirane, H. G. Guggenheim H. Ikeda, Phys. Rev. B21, 4038 (1980).

    Article  Google Scholar 

  10. M. T. Hutchings, H. Ikeda, and E. Janke, Phys. Rev. Lett. 49, 386 (1982).

    Article  Google Scholar 

  11. P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. 49, 435 (1977).

    Article  Google Scholar 

  12. D. Kumar, Phys. Rev. B30, 2961 (1984)

    Article  Google Scholar 

  13. J. M. Luscomie and R. C. Desai, preprint.

    Google Scholar 

  14. C. Henley, preprint (1985).

    Google Scholar 

  15. C. K. Harris and R. B. Stinchcombe, to be published, and R. B. Stinchcombe, this volume.

    Google Scholar 

  16. A. Heidemann, J. D. Axe, L. Passell, D. Moncton, H. Guggenheim and G. Aeppli, private communication.

    Google Scholar 

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© 1991 Springer Science+Business Media New York

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Aeppli, G., Guggenheim, H., Uemura, Y.J. (1991). Spin Dynamics on Percolating Networks. In: Pynn, R., Skjeltorp, A. (eds) Scaling Phenomena in Disordered Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1402-9_40

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  • DOI: https://doi.org/10.1007/978-1-4757-1402-9_40

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1404-3

  • Online ISBN: 978-1-4757-1402-9

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