Magnetism and structure of small clusters: An exact treatment of electron correlations

Physical Review B - Condensed Matter and Materials Physics

Volumn 53, Issue 15, 1996, Pages 10382-10396

  Pastor, G ^a   Hirsch, R ^b   Muhlschlegel B ^b  

^a FLORIDA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001303630     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.53.10382     Document Type: Article

References (57)

1. See, for instance, L.M. Falicov, in Recent Progress in Many Body Theories, edited by A.J. Kallio, E. Pajanne, and R.F. Bishop (Plenum, New York, 1988), Vol. I, p. 275;
2. J. Callaway, Physica B 149, 17 (1988), and references therein. There are countless other applications from this point of view.
3. W.A. de Heer, P. Milani and A. Chǎtelain, Phys. Rev. Lett. 65, 488 (1990).
4. J.P. Bucher, D.C. Douglass and L.A. Bloomfield, Phys. Rev. Lett. 66, 3052 (1991).
5. D.C. Douglass, A.J. Cox, J.P. Bucher and L.A. Bloomfield, Phys. Rev. B 47, 12t874 (1993).
6. D.C. Douglass, J.P. Bucher and L.A. Bloomfield, Phys. Rev. B 45, 6341 (1992).
7. I.M.L. Billas, J.A. Becker, A. Chǎtelain and W.A. de Heer, Phys. Rev. Lett. 71, 4067 (1993).
8. I.M.L. Billas, A. Chǎtelain and W.A. de Heer, Science 265, 1662 (1994).
9. A.J. Cox, J.G. Louderback and L.A. Bloomfield, Phys. Rev. Lett. 71, 923 (1993).
10. D.R. Salahub and R.P. Messmer, Surf. Sci. 106, 415 (1981).
11. K. Lee, J. Callaway and S. Dhar, Phys. Rev. B 30, 1724 (1985).
12. K. Lee, J. Callaway, K. Wong, R. Tang and A. Ziegler, Phys. Rev. B 31, 1796 (1985).
13. K. Lee and J. Callaway, Phys. Rev. B 48, 15t358 (1993).
14. G.M. Pastor, J. Dorantes-Dávila and K.H. Bennemann, Physica B 149, 22 (1988).
15. Phys. Rev. B 40, 7642 (1989).
16. B.I. Dunlap, Z. Phys. D 19, 255 (1991).
17. J.L. Chen, C.S. Wang, K.A. Jackson and M.R. Pederson, Phys. Rev. B 44, 6558 (1991).
18. J. Dorantes-Dávila, H. Dreyssé and G.M. Pastor, Phys. Rev. B 46, 10t432 (1992).
19. G.M. Pastor, J. Dorantes-Dávila, S. Pick and H. Dreyssé, Phys. Rev. Lett. 75, 326 (1995).
20. M. Castro and D.R. Salahub, Phys. Rev. B 49, 11t842 (1994).
21. O.B. Christensen and M.L. Cohen, Phys. Rev. B 47, 13t643 (1993).
22. P. Ballone and R.O. Jones, Chem. Phys. Lett. 233, 632 (1995).
23. J. Hubbard, Proc. R. Soc. London Ser. A 276, 238 (1963).
24. J. Hubbard, Proc. R. Soc. London Ser. A 281, 401 (1964).
25. J. Kanamori, Prog. Theor. Phys. 30, 275 (1963).
26. M.C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963).
27. L.M. Falicov and R.H. Victora, Phys. Rev. B 30, 1695 (1984).
28. Y. Ishii and S. Sugano, J. Phys. Soc. Jpn. 53, 3895 (1984).
29. J. Callaway, D.P. Chen and R. Tang, Z. Phys D 3, 91 (1986).
30. J. Callaway, D.P. Chen and R. Tang, Phys. Rev. B 35, 3705 (1987).
31. Y. Wang, T.F. George, D.M. Lindsay and A.C. Beri, J. Chem. Phys. 86, 3493 (1987).
32. and more recently in W.A. de Heer, Rev. Mod. Phys. 65, 611 (1993).
33. M. Brack, Rev. Mod. Phys. 65, 677 (1993).
34. H. Nishioka, K. Hansen and B.R. Mottelson, Phys. Rev. B 42, 9377 (1990).
35. G.M. Pastor, R. Hirsch and B. Mühlschlegel, Phys. Rev. Lett. 72, 3879 (1994).
36. C. Lanczos, J. Res. Natl. Bur. Stand. 45, 255 (1950).
37. B.N. Parlett, The Symmetric Eigenvalue Problem (Prentice-Hall, Engelwood Cliffs, 1980).
38. J.K. Collum and R.A. Willoughby, Lanczos Algorithms for Large Symmetric Eigenvalue Computations (Birkhauser, Boston, 1985), Vol. I.
39. J.P. Malrieu, D. Maynau and J.P. Daudey, Phys. Rev. B 30, 1817 (1984), and references therein.
40. F. Spiegelmann, P. Blaise, J.P. Malrieu and D. Maynau, Z. Phys. D 12, 341 (1989).
41. F. Spiegelmann, P. Blaise, J.P. Malrieu and D. Maynau, Phys. Rev. B 41, 5566 (1990).
42. F. Illas, J. Casanovas, M.A. García-Bach, R. Caballol and O. Castell, Phys. Rev. Lett. 71, 3549 (1993).
43. C. Herring, in Magnetism, edited by G.T. Rado and H. Suhl (Academic, New York, 1966), Vol. 4, p. 167ff.
44. J.L. Martins, R. Car and J. Buttet, J. Chem. Phys. 78, 5646 (1983).
45. J.L. Martins, J. Buttet and R. Car, Phys. Rev. B 31, 1804 (1985).
46. I. Boustani, W. Pewestorf, P. Fantucci, V. Bonacić-Koutecký and J. Koutecký, Phys. Rev. B 35, 9437 (1987).
47. V. Bonacić-Koutecký, P. Fantucci and J. Koutecký, Phys. Rev. B 37, 4369 (1988).
48. F. Spiegelmann and D. Pavolini, J. Chem. Phys. 89, 4954 (1988).
49. U. Röthlisberger and W. Andreoni, J. Chem. Phys. 94, 8129 (1991).
50. V. Bonacić-Koutecký, P. Fantucci and J. Koutecký, Chem. Rev. 91, 1035 (1991), and references therein.
51. For the study of multiply charged clusters it is of course indispensable to take into account the interatomic Coulomb interactions. See, for example, S.L. Reindl and G.M. Pastor, Phys. Rev. B 47, 4680 (1993), and references therein.
52. J. Friedel, J. Phys. (Paris) 51, 2023 (1990).
53. E.H. Lieb, Phys. Rev. Lett. 62, 1201 (1989).
54. Y. Nagaoka, Solid State Comunn. 3, 409 (1965).
55. D.J. Thouless, Proc. Phys. Soc. London 86, 893 (1965).
56. Y. Nagaoka, Phys. Rev. 147, 392 (1966).
57. H. Tasaki, Phys. Rev. B 40, 9192 (1989).