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Magnetism of Transition Metal Clusters: Overview and Perspectives

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Current Problems in Condensed Matter

Abstract

Recent theoretical work on itinerant magnetism and electron correlations in small clusters is reviewed. First, self-consistent tight-binding results of free and embedded clusters are discussed. The environment dependence of the magnetic behavior resulting from surface and interface proximity-effects, bond-length relaxations and changes in structure is analyzed concisely within this framework. A rigorous study of electron correlations, magnetism and cluster structure within the topological Hubbard model is then surveyed. Current perspectives are discussed giving emphasis to finite temperature phenomena.

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References

  1. D. R. Salahub and R. P. Messmer, Surf. Sci. 106, 415 (1981);

    Article  CAS  Google Scholar 

  2. C. Y. Yang, Phys. Rev. B 24, 5673 (1981).

    Google Scholar 

  3. K. Lee, J. Callaway, and S. Dhar, Phys. Rev. B 30, 1724 (1985);

    Article  Google Scholar 

  4. K. Lee et al., ibid. 31, 1796 (1985);

    Google Scholar 

  5. K. Lee and J. Callaway, ibid. 48, 15 358 (1993).

    Google Scholar 

  6. G. M. Pastor, J. Dorantes-Davila, and K. H. Bennemann, Physica B 149, 22 (1988);

    Article  CAS  Google Scholar 

  7. G. M. Pastor, J. Dorantes-Davila, and K. H. Bennemann, Phys. Rev. B 40, 7642 (1989).

    Article  CAS  Google Scholar 

  8. R. H. Victora, L. M. Falicov, and S. Ishida, Phys. Rev. B 30, 3896 (1989).

    Article  Google Scholar 

  9. H. Haydock, Solid State Physics,(Academic, London, 1980), Vol. 35, p. 215 ff.

    Google Scholar 

  10. J. Dorantes-Davila, H. Dreyssé, and G. M. Pastor, Phys. Rev. B 46, 10432 (1992).

    Article  CAS  Google Scholar 

  11. A. Vega, J. Dorantes-Davila, L. C. Balbas, and G. M. Pastor, Phys. Rev. B 47, 4742 (1993).

    Article  CAS  Google Scholar 

  12. A. Vega, J. Dorantes-Davila, G. M. Pastor, and L. C. Balbas, Z. Phys. D 19, 263 (1991).

    Article  CAS  Google Scholar 

  13. A. Vega, L. C. Balbas, J. Dorantes-Davila, and G. M. Pastor, Phys. Rev. B 50, 3899 (1994);

    Article  CAS  Google Scholar 

  14. A. Vega, L. C. Balbas, J. Dorantes-Davila, and G. M. Pastor, Computational Materials Science 2, 463 (1994).

    Article  CAS  Google Scholar 

  15. G. M. Pastor, J. Dorantes-Davila, S. Pick, and H. Dreyssé, Phys. Rev. Lett. 75, 326 (1995).

    Article  CAS  Google Scholar 

  16. See also the contributions by J. Dorantes-Davila and H. Dreyssé to this volume.

    Google Scholar 

  17. W. A. de Heer, P. Milani, and A. Châtelain, Phys. Rev. Lett. 65, 488 (1990).

    Article  Google Scholar 

  18. J. P. Bucher, D. C. Douglass, and L. A. Bloomfield, Phys. Rev. Lett. 66, 3052 (1991).

    Article  CAS  Google Scholar 

  19. See, for instance, B. I. Dunlap, Z. Phys. D 19, 255 (1991);

    Google Scholar 

  20. J. L. Chen, C. S. Wang, K. A. Jackson, and M. R. Perderson, Phys. Rev. B 44, 6558 (1991);

    Article  CAS  Google Scholar 

  21. M. Castro and D. R. Salahub, Phys. Rev. B 49, 11 842 (1994);

    Google Scholar 

  22. P. Ballone and R. O. Jones, Chem. Phys. Lett. 233, 632 (1995).

    Article  CAS  Google Scholar 

  23. D. M. Cox et al., Phys. Rev. B 32, 7290 (1985).

    Google Scholar 

  24. S. N. Khanna and S. Linderoth, Phys. Rev. Lett. 67, 742 (1991).

    Article  CAS  Google Scholar 

  25. P. J. Jensen, S. Mukherjee, and K. H. Bennemann, Z. Phys. D 21, 349 (1991).

    Article  CAS  Google Scholar 

  26. D. C. Douglass, A. J. Cox, J. P. Bucher, and L. A. Bloomfield, Phys. Rev. B 47, 12874 (1993).

    Article  CAS  Google Scholar 

  27. D. C. Douglass, J. P. Bucher, and L. A. Bloomfield, Phys. Rev. B 45, 6341 (1992).

    Article  Google Scholar 

  28. A. J. Cox, J. G. Louderback, and L. A. Bloomfield, Phys. Rev. Lett. 71, 923 (1993);

    Article  CAS  Google Scholar 

  29. A. J. Cox, J. G. Louderback, S. E. Apsel, and L. A. Bloomfield, Phys. Rev. B 49, 12295 (1994).

    Article  CAS  Google Scholar 

  30. I. M. L. Billas, J. A. Becker, A. Châtelain, and W. A. de Heer, Phys. Rev. Lett. 71, 4067 (1993).

    Article  CAS  Google Scholar 

  31. I. M. L. Billas, A. Châtelain, and W. A. de Heer, Science 265, 1682 (1994).

    Article  CAS  Google Scholar 

  32. S. E. Apsel, J. W. Emert, J. Deng, and L. A. Bloomfield, Phys. Rev. Lett. 76, 1441 (1996).

    Article  CAS  Google Scholar 

  33. R. Galicia, Rev. Mex. Fis. 32, 51 (1985).

    CAS  Google Scholar 

  34. P. J. Jensen and K. H. Bennemann, Z. Phys. D 26, 246 (1993);

    Article  CAS  Google Scholar 

  35. A. Maiti and L. M. Falicov, Phys. Rev. B 48, 13 596 (1993).

    Google Scholar 

  36. B. V. Reddy, S. N. Khanna, and B. I. Dunlap, Phys. Rev. Lett. 70, 3323 (1993);

    Article  CAS  Google Scholar 

  37. Y. Jinlong, F. Toigo, and W. Kelin, Phys. Rev. B 50, 7915 (1994);

    Article  CAS  Google Scholar 

  38. Z. Q. Li, J. Z. Yu, K. Ohno, and Y. Kawazoe, J. Phys. Cond. Matter 7, 47 (1995);

    Article  Google Scholar 

  39. B. Piveteau, M. C. Desjonquéres, A. M. Olés, and D. Spanjaard, Phys. Rev. B 53, 9251 (1996);

    Article  CAS  Google Scholar 

  40. J. Dorantes-Davila, P. Villasenor-Gonzalez, H. Dreyssé, and G. M. Pastor, Phys. Rev. B 55 15084 (1997).

    Article  Google Scholar 

  41. M. A. Ojeda-López, J. Dorantes-Davila, and G. M. Pastor, J. Appl. Plzys. 81, 4170 (1997), and in this volume.

    Google Scholar 

  42. J. Unguris, R. J. Celotta, and D. T. Pierce, Phys. Rev. Lett. 69, 1125 (1992);

    Article  CAS  Google Scholar 

  43. T.G. Walker, A. W. Pang, H. Hopster, and S. F. Alvarado, Phys. Rev. Lett. 69, 1121 (1992);

    Article  CAS  Google Scholar 

  44. F. U. Hillebrecht et al., Europhys. Lett. 19, 711 (1992);

    Google Scholar 

  45. R. W. Wang et al. Phys. Rev. Lett. 72, 920 (1994).

    Article  CAS  Google Scholar 

  46. P. Grünberg et al., Phys. Rev. Lett. 57, 2442 (1986);

    Google Scholar 

  47. C. Carbone and S. F. Alvarado, Phys. Rev. B 36, 2433 (1987);

    Article  CAS  Google Scholar 

  48. M. N. Baibich et al., Phys. Rev. Lett. 61, 2472 (1988);

    Google Scholar 

  49. J. J. Krebs, P. Lubitz, A. Chaiken, and G. Prinz, Phys. Rev. Lett. 63, 4828 (1989);

    Article  Google Scholar 

  50. S. S. P. Parkin, N. More, and K. P. Roche, Phys. Rev. Lett. 64, 2304 (1990);

    Article  CAS  Google Scholar 

  51. S. Demokritov, J. A. Wolf, and P. Grünberg, Europhys. Lett. 15, 881 (1991).

    Article  CAS  Google Scholar 

  52. P. M. Levy et al., J. Appl. Phys. 67, 5914 (1990);

    Google Scholar 

  53. F. Herman, J. Sticht, and M. van Schilfgaarde, J. Appl. Phys. 69, 4783 (1991);

    Article  CAS  Google Scholar 

  54. K. Ounadjela et al., Europhys. Lett. 15, 875 (1991);

    Google Scholar 

  55. D. Stoeffler, and F. Gautier, Phys. Rev. B 44, 10 389 (1991);

    Google Scholar 

  56. Z. P. Shi, P. M. Levy, and J. L. Fry, Phys. Rev. Lett. 69, 3678 (1992);

    Article  CAS  Google Scholar 

  57. J-h. Xu and A. J. Freeman, Phys. Rev. B 47, 165 (1993).

    Article  CAS  Google Scholar 

  58. P. G. Watson, Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green, ( Academic, London, 1972 ), p. 101;

    Google Scholar 

  59. M. N. Barber, ibid. Vol. 8, edited by C. Domb and J. L. Lebowitz, (Academic, London, 1983), Vol. 2 p. 145.

    Google Scholar 

  60. G. M. Pastor, R. Hirsch, and B. Mühlschlegel, Phys. Rev. Lett. 72, 3879 (1994);

    Article  CAS  Google Scholar 

  61. G. M. Pastor, R. Hirsch, and B. Mühlschlegel, Phys. Rev. B 53, 10382 (1996).

    Article  CAS  Google Scholar 

  62. J. Dorantes-Davila, G. M. Pastor, and K. H. Bennemann, Solid State Commun. 59, 159 (1986);

    Article  CAS  Google Scholar 

  63. J. Dorantes-Davila, G. M. Pastor, and K. H. Bennemann, ibid. 60, 465 (1986).

    CAS  Google Scholar 

  64. J. Dorantes-Davila and G. M. Pastor, to be published.

    Google Scholar 

  65. G. M. Pastor and J. Dorantes-Davila, Phys. Rev. B 52, 13 799 (1995).

    Google Scholar 

  66. E. M. Haines, R. Clauberg, and R. Feder, Phys. Rev. Lett. 54, 932 (1985).

    Article  CAS  Google Scholar 

  67. V. Korenman and R. E. Prange, Phys. Rev. Lett. 53, 186 (1984).

    Article  CAS  Google Scholar 

  68. J. Hubbard, Phys. Rev. B 19, 2626 (1979);

    Article  CAS  Google Scholar 

  69. J. Hubbard, ibid. 20, 4584 (1979);

    Google Scholar 

  70. H. Hasegawa, J. Phys. Soc. Jpn. 49, 178 (1980);

    Article  CAS  Google Scholar 

  71. H. Hasegawa, ibid. 49, 963 (1980).

    Google Scholar 

  72. Electron Correlation and Magnetism in Narrow-Band Systems, edited by T. Moriya, Springer Series in Solid State Sciences 29, ( Springer, Heidelberg, 1981 ).

    Google Scholar 

  73. Y. Kakehashi, J. Phys. Soc. Jpn. 50, 2251 (1981).

    Article  CAS  Google Scholar 

  74. From bulk calculations one estimates.

    Google Scholar 

  75. L. M. Falicov and R. H. Victora, Phys. Rev. B 30, 1695 (1984).

    Article  Google Scholar 

  76. Y. Ishii and S. Sugano, J. Phys. Soc. Jpn. 53, 3895 (1984).

    Article  CAS  Google Scholar 

  77. J. Callaway, D. P. Chen, and R. Tang, Z. Phys D 3, 91 (1986);

    Article  CAS  Google Scholar 

  78. J. Callaway, D. P. Chen, and R. Tang, Phys. Rev. B 35, 3705 (1987).

    Article  Google Scholar 

  79. Y. Wang, T. F. George, D. M. Lindsay, and A. C. Beni, J. Chem. Phys. 86, 3493 (1987).

    Article  CAS  Google Scholar 

  80. J. Hubbard, Proc. R. Soc. London Ser. A 276, 238 (1963);

    Article  Google Scholar 

  81. ; J. Kanamori, Prog. Theor. Phys. 30, 275 (1963);

    Google Scholar 

  82. M. C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963).

    Google Scholar 

  83. Y. Nagaoka, Solid State Commun. 3, 409 (1965);

    Article  CAS  Google Scholar 

  84. D. J. Thouless, Proc. Phys. Soc. London 86, 893 (1965);

    Google Scholar 

  85. Y. Nagaoka, Phys. Rev. 147, 392 (1966);

    Article  CAS  Google Scholar 

  86. H. Tasaki, Phys. Rev. B 40, 9192 (1989).

    Article  Google Scholar 

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Pastor, G.M. (1998). Magnetism of Transition Metal Clusters: Overview and Perspectives. In: Morán-López, J.L. (eds) Current Problems in Condensed Matter. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9924-8_15

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  • DOI: https://doi.org/10.1007/978-1-4757-9924-8_15

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