Quantum and thermal spin fluctuations in itinerant-electron magnets

Physical Review B - Condensed Matter and Materials Physics

Volumn 57, Issue 1, 1998, Pages 412-425

  Ohkawa, Fusayoshi J ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040103896     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.57.412     Document Type: Article

References (33)

1. J. Kanamori, Prog. Theor. Phys. 30, 275 (1963).
2. M. C. Gutzwiller, Phys. Rev. 134, A293 (1963).
3. J. Hubbard, Proc. R. Soc. London, Ser. A 276, 238 (1963).
4. F. J. Ohkawa, J. Phys. Soc. Jpn. 58, 4156 (1989).
5. F. J. Ohkawa and N. Matsumoto, J. Phys. Soc. Jpn. 63, 602 (1994).
6. Y. Kuramoto and T. Watanabe, Physica B 148, 80 (1987).
7. W. Metzner and D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989).
8. F. J. Ohkawa, Phys. Rev. B 46, 11 965 (1992). As was discussed in this reference, the response function for specific (Formula presented) and the mean fields, which relate to magnetic instability in repulsive systems or to charge-density-wave instability or the Bardeen-Cooper-Schrieffer type superconductivity in attractive systems, are of leading order in (Formula presented) or (Formula presented). Unless these properties are discussed, the SSA or the RSSA is rigorous in the large (Formula presented) limit because no fluctuations for these types of instability exist.
9. F. J. Ohkawa, Phys. Rev. B 44, 6812 (1991).
10. F. J. Ohkawa, J. Phys. Soc. Jpn. 60, 3218 (1991).
11. F. J. Ohkawa, J. Phys. Soc. Jpn. 61, 1615 (1992).
12. F. J. Ohkawa, J. Phys. Soc. Jpn. 61, 4490 (1992). The RSSA is reduced to the SSA in the large (Formula presented) limit.
13. K. Yosida, Phys. Rev. 147, 223 (1966).
14. K. K. Murata and S. Doniach, Phys. Rev. Lett. 29, 285 (1972).
15. T. Moriya and A. Kawabata, J. Phys. Soc. Jpn. 34, 639 (1973).
16. T. Moriya and A. Kawabata, J. Phys. Soc. Jpn. 34, 669 (1973).
17. A. Kawabata, J. Phys. F 4, 1477 (1974).
18. F. J. Ohkawa, Phys. Rev. B 54, 15 388 (1996).
19. K. G. Wilson, Rev. Mod. Phys. 47, 773 (1975).
20. F. J. Ohkawa (unpublished).
21. W. F. Brinkman and T. M. Rice, Phys. Rev. B 2, 4302 (1970).
22. P. W. Anderson, Phys. Rev. 124, 41 (1961).
23. A. Georges and G. Kotliar, Phys. Rev. B 45, 6479 (1992). When the density of states for unrenormalized electrons, (Formula presented), is of a Lorentzian shape in the large (Formula presented) limit, the hybridization energy of the MAM is constant as a function of energies as was discussed in this reference. It follows that (Formula presented) for such a model in the large (Formula presented) limit.
24. H. Shiba, Prog. Theor. Phys. 54, 967 (1975).
25. J. C. Ward, Phys. Rev. 78, 182 (1950).
26. T. Yamamoto and F. J. Ohkawa, J. Phys. Soc. Jpn. 57, 3562 (1988).
27. F. J. Ohkawa, K. Onoue, and H. Satoh (unpublished).
28. K. Miyake and O. Narikiyo, J. Phys. Soc. Jpn. 63, 3821 (1994).
29. Y. Kuramoto, Physica B 156-157, 789 (1989).
30. Y. Kuramoto and K. Miyake, J. Phys. Soc. Jpn. 59, 2831 (1990).
31. K. Miyake and Y. Kuramoto, Physica B 171, 20 (1991).
32. See, for example, T. Shimizu, H. Aoki, H. Yasuoka, T. Tsuda, Y. Ueda, K. Yoshimura, and K. Kosuge, J. Phys. Soc. Jpn. 62, 3710 (1993).
33. C. H. Pennington and C. P. Slichter, Phys. Rev. Lett. 66, 381 (1991).