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High Temperature Expansion and Exact Diagonalization of the Rhodium Nuclear Spin System Compared to Experimental Results

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Abstract

The nuclear spin system of Rh metal has recently been investigated experimentally. No nuclear magnetic ordering was observed in these measurements, in spite of the very low nuclear entropy achieved. To study this system theoretically, we have applied the method of exact diagonalization to a 16 spin I=1/2 fcc cluster with both Ruderman-Kittel and dipolar interactions. In this work, we compare the results of this method with the experimental data and the high temperature expansion results in the paramagnetic state. The high temperature expansions agree with the experimental data down to 1 nK, while the exact diagonalisation results are less accurate.

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REFERENCES

  1. T. A. Knuuttila, J. T. Tuoriniemi, K. Lefmann, K. I. Juntunen, F. B. Rasmussen, and K. K. Nummila, to appear in J. Low Temp. Phys. (2001).

  2. A. S. Oja and O. V. Lounasmaa, Rev. Mod. Phys. 69, 1 (1997).

    Google Scholar 

  3. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena, Clarendon Press, Oxford 1971.

    Google Scholar 

  4. J. H. van Vleck, J. Chem. Phys. 5, 320 (1937).

    Google Scholar 

  5. J. C. Bonner and M. E. Fischer, Phys. Rev. A 135, 640 (1964).

    Google Scholar 

  6. D. D. Betts and J. Oitmaa, Phys. Lett. 62A, 277 (1978); J. Oitmaa, D. D. Betts, Can. J. Phys. 56, 897 (1978).

    Google Scholar 

  7. M. C. Cross and R. N. Bhatt, J. Low Temp. Phys. 57, 573 (1984).

    Google Scholar 

  8. K. Lefmann, J. Ipsen, and F. B. Rasmussen, Physica B 284, 1702 (2000).

    Google Scholar 

  9. J. T. Tuoriniemi, T. A. Knuuttila, K. Lefmann, K. K. Nummila, W. Yao, and F. B. Rasmussen, Phys. Rev. Lett. 84, 370 (2000).

    Google Scholar 

  10. P. A. Lindgård, X.-W. Wang, and B. N. Harmon, J. Magn. Magn. Mater. 54–57, 1052 (1986); S. J. Frisken, and D. J. Miller, Phys. Rev. Lett. 57, 2971 (1986); D. J. Miller, and S. J. Frisken, J. Appl. Phys. 64, 5630 (1988); B. N. Harmon, X.-W. Wang, and P. A. Lindgård, J. Magn. Magn. Mater. 104–107, 2113 (1992).

    Google Scholar 

  11. K. Lefmann and K. I. Juntunen, Low Temperature Laboratory Report, to be published (2001).

  12. Phase Transitions and Critical Phenomena vol. 3, edited by C. Domb and M. S. Green, Academic Press (1974).

  13. C. Rischel and K. Lefmann, to be published.

  14. K. Lefmann and C. Rischel, Phys. Rev. B 54, 6340 (1996).

    Google Scholar 

  15. C. Lanczos, J. Res. Nat. Bur. Standards, Sect. B, 45, 255 (1950).

    Google Scholar 

  16. K. Lefmann and C. Rischel, to appear in Europ. Phys. J. B (2001).

  17. P. J. Hakonen and S. Yin, J. Low Temp. Phys. 85, 25 (1991).

    Google Scholar 

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Juntunen, K.I., Lefmann, K., Knuuttila, T.A. et al. High Temperature Expansion and Exact Diagonalization of the Rhodium Nuclear Spin System Compared to Experimental Results. Journal of Low Temperature Physics 124, 271–289 (2001). https://doi.org/10.1023/A:1017542305493

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