Classical Heisenberg model of magnetic molecular ring clusters: Accurate approximants for correlation functions and susceptibility

Journal of Chemical Physics

Volumn 108, Issue 17, 1998, Pages 7266-7273

  Luscombe, James H ^a   Luban, Marshall ^b   Borsa, Ferdinando ^b,c  

^a NAVAL POSTGRADUATE SCHOOL   (United States)

^b IOWA STATE UNIVERSITY   (United States)

^c UNIVERSITY OF PAVIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000531048     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.476144     Document Type: Article

References (17)

1. Nanomagnetism, edited by R. Hernando (Kluwer, Norwell, MA, 1993).
2. R. J. Bushby and J.-L. Paillaud, in An Introduction to Molecular Electronics, edited by M. C. Petty, M. R. Bryce, and D. Bloor (Oxford University Press, New York, 1995), pp. 72-91.
3. Gatteschi, A. Caneschi, L. Pardi, and R. Sessoli, Science 265, 1054 (1994), and references therein.
4. K. L. Taft, C. D. Delfs, G. C. Papaefthymiou, S. Foner, D. Gatteschi, and S. J. Lippard, J. Am. Chem. Soc. 116, 823 (1994).
5. It is assumed that in any sample, the individual rings are only weakly interacting.
6. A useful review of long chains of magnetic atoms is given in M. Steiner, J. Villain, and C. G. Windsor, Adv. Phys. 25, 87 (1976).
7. J. H. Luscombe and M. Luban, J. Phys.: Condens. Matter 9, 6913 (1997).
8. A. Lascialfari and D. Gatteschi (private communication). The susceptibility data shown in Fig. 5 were obtained for the molecular ferric wheel in a 1.0 T magnetic field. This data is virtually indistinguishable from that published in Ref. 4 for the same system, but in an external field of 0.3 T. Clearly, then, either data set can be identified with the theoretical zerofield susceptibility.
9. In this article we have concentrated on developing the susceptibility approximant and have illusstrated its application using one system, the 10-spin ferric-wheel cluster. Elsewhere we will review the applicability of the classical spin approximation and the apptoximants developed here to other small magnetic ring molecular clusters, M. Luban, J. H. Luscombe, and F. Borsa (unpublished).
10. G. S. Joyce, Phys. Rev. 155, 478 (1967).
11. Luban and J. H. Luscombe, Phys. Rev. B 35, 9045 (1987).
12. E. Fisher, Am. J. Phys. 32, 343 (1964).
13. Luban, Z. Jang, D. Kouzoudis, and J. H. Luscombe (unpublished).
14. 2 can therefore differ only by unity.
15. M. Brink and G. R. Satchler, Angular Momentum (Oxford University Press, Oxford, 1968), p. 36.
16. G. N. Watson, A Treatise on the Theory of Bessel Functions. 2nd ed. (Cambridge University Press, New York, 1944), p. 363.
17. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).