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.
Similar content being viewed by others
REFERENCES
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).
A. S. Oja and O. V. Lounasmaa, Rev. Mod. Phys. 69, 1 (1997).
H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena, Clarendon Press, Oxford 1971.
J. H. van Vleck, J. Chem. Phys. 5, 320 (1937).
J. C. Bonner and M. E. Fischer, Phys. Rev. A 135, 640 (1964).
D. D. Betts and J. Oitmaa, Phys. Lett. 62A, 277 (1978); J. Oitmaa, D. D. Betts, Can. J. Phys. 56, 897 (1978).
M. C. Cross and R. N. Bhatt, J. Low Temp. Phys. 57, 573 (1984).
K. Lefmann, J. Ipsen, and F. B. Rasmussen, Physica B 284, 1702 (2000).
J. T. Tuoriniemi, T. A. Knuuttila, K. Lefmann, K. K. Nummila, W. Yao, and F. B. Rasmussen, Phys. Rev. Lett. 84, 370 (2000).
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).
K. Lefmann and K. I. Juntunen, Low Temperature Laboratory Report, to be published (2001).
Phase Transitions and Critical Phenomena vol. 3, edited by C. Domb and M. S. Green, Academic Press (1974).
C. Rischel and K. Lefmann, to be published.
K. Lefmann and C. Rischel, Phys. Rev. B 54, 6340 (1996).
C. Lanczos, J. Res. Nat. Bur. Standards, Sect. B, 45, 255 (1950).
K. Lefmann and C. Rischel, to appear in Europ. Phys. J. B (2001).
P. J. Hakonen and S. Yin, J. Low Temp. Phys. 85, 25 (1991).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Issue Date:
DOI: https://doi.org/10.1023/A:1017542305493