Model exact low-lying states and spin dynamics in ferric wheels: (formula presented) to (formula presented)

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 1, 2002, Pages 1-9

  Rudra, Indranil ^a   Ramasesha, S ^a   Sen, Diptiman ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77951885117     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.014441     Document Type: Article

References (34)

1. K. L. Taft, C. D. Delfs, G. C. Papaefthymiou, S. Foner, D. Gatteschi, and S. J. Lippard, J. Am. Chem. Soc. 116, 823 (1994).
2. G. L. Abbati, A. Cornia, A. C. Fabretti, and W. Malavasi, Inorg. Chem. 36, 6443 (1997);
3. A. Caneschi, A. Cornia, and S. J. Lippard, Angew. Chem. Int. Ed. Engl. 4, 467 (1995);
4. K. L. Taft and S. J. Lippard, J. Am. Chem. Soc. 112, 9629 (1990);
5. R. W. Saalfrank, I. Bernt, E. Uller, and F. Hampel, Angew. Chem. 109, 2596 (1997);
6. A. Caneschi, A. Cornia, A. C. Fabretti, and D. Gatteschi, Angew. Chem. Int. Ed. Engl. 38, 1295 (1999).
7. J. C. Bonner and M. E. Fisher, Phys. Rev. 135, A640 (1964).
8. F. D. M. Haldane, Phys. Lett. 93A, 464 (1983);
9. F. D. M. HaldanePhys. Rev. Lett. 50, 1153 (1983);
10. I. Affleck, J. Phys.: Condens. Matter 1, 3047 (1989).
11. D. Gatteschi and L. Pardi, Gazz. Chim. Ital. 123, 231 (1993).
12. O. Waldmann, R. Koch, S. Schromm, J. Schülein, P. Müller, I. Bernt, R. W. Saalfrank, F. Hampel, and E. Balthes, Inorg. Chem. 40, 2986 (2001);
13. O. Waldmann, Phys. Rev. B 61, 6138 (2000).
14. Juan Bruno and R. J. Silbey, J. Phys. Chem. A 104, 596 (2000).
15. A. Cornia, A. G. M. Jansen, and M. Affronte, Phys. Rev. B 60, 12 177 (1999).
16. M. H. Julien, Z. H. Jang, A. Lascialfari, F. Borsa, M. Horvatic, A. Caneschi, and D. Gatteschi, Phys. Rev. Lett. 83, 227 (1999).
17. M. Affronte, J. C. Lasjaunias, A. Cornia, and A. Caneschi, Phys. Rev. B 60, 1161 (1999).
18. M. Enz and R. Schilling, J. Phys. C 19, L711 (1986);
19. J. Phys. CM. Enz, R. Schilling19, 1765 (1986);
20. J. L. Van Hemmen and A. Suto, Europhys. Lett. 1, 481 (1986);
21. E. M. Chudnovsky and L. Gunther, Phys. Rev. Lett. 60, 661 (1988).
22. A. Chilero and D. Loss, Phys. Rev. Lett. 80, 169 (1998).
23. B. Normand, X. Wang, X. Zotos, and D. Loss, Phys. Rev. B 63, 184409 (2001).
24. S. Miyashita, K. Saito, and H. De Raedt, Phys. Rev. Lett. 80, 1525 (1998).
25. A. Caneschi, D. Gatteschi, C. Sangregorio, R. Sessoli, L. Sorace, A. Cornia, M. A. Novak, C. Paulsen, and W. Wernsdorfer, J. Magn. Magn. Mater. 200, 182 (1999).
26. For a review, see S. Ramasesha and Z. G. Soos, in Valence Bond Theory and Chemical Structure, edited by D. J. Klein and D. L. Cooper (Elsevier, Amsterdam, in press).
27. S. Ramasesha and Z. G. Soos, J. Chem. Phys. 98, 4015 (1993).
28. E. R. Davidson, J. Comput. Phys. 17, 87 (1975).
29. E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) 16, 407 (1961);
30. E. Lieb and D. Mattis, J. Math. Phys. 3, 749 (1962).
31. A. K. Zvezdin, (unpublished).
32. It is also possible to observe the dynamics by starting with the ground state (formula presented) of Eq. (5) as the initial state which has a large overlap with the state (formula presented) (formula presented) is obtained by applying a large constant magnetic field (formula presented) in Eq. (5). The dynamics of the magnetization (formula presented) is followed by evolving (formula presented), using the field (formula presented) in Eq. (6), after setting (formula presented). This is equivalent to shifting the chemical potential to induce a magnetization in the ground state.
33. J. des Cloizeaux and J. J. Pearson, Phys. Rev. 128, 2131 (1962).
34. J. H. Shirley, Phys. Rev. 138, B979 (1965).