Density-matrix functional theory of the Hubbard model: An exact numerical study

Physical Review B - Condensed Matter and Materials Physics

Volumn 61, Issue 3, 2000, Pages 1764-1772

  Lopez Sandoval R ^a   Pastor, G ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1842569032     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.61.1764     Document Type: Article

References (33)

1. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).
2. W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).
3. R. G. Parr and W. Yang, Density-Functional Theory of Atoms and Molecules (Oxford University Press, New York, 1989).
4. R. M. Dreizler and E. K. U. Gross, Density Functional Theory (Springer, Berlin, 1990).
5. U. von Barth and L. Hedin, J. Phys. C 5, 1629 (1972).
6. D. C. Langreth and M. J. Mehl, Phys. Rev. B 28, 1809 (1983).
7. A. D. Becke, Phys. Rev. A 38, 3098 (1988).
8. J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996), and references therein.
9. R. Pariser and R. G. Parr, J. Chem. Phys. 21, 466 (1953).
10. J. Chem. Phys.R. PariserR. G. Parr21, 767 (1953).
11. J. A. Pople, Trans. Faraday Soc. 49, 1375 (1953).
12. J. Hubbard, Proc. R. Soc. London, Ser. A 276, 238 (1963).
13. Proc. R. Soc. London, Ser. AJ. Hubbard281, 401 (1964).
14. J. Kanamori, Prog. Theor. Phys. 30, 275 (1963).
15. M. C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963).
16. P. W. Anderson, Phys. Rev. 124, 41 (1961).
17. See, for instance, P. Fulde, Electron Correlations in Molecules and Solids (Springer, Berlin, 1991).
18. O. Gunnarsson and K. Schönhammer, Phys. Rev. Lett. 56, 1968 (1986).
19. K. Schönhammer and O. Gunnarsson, Phys. Rev. B 37, 3128 (1988).
20. A. Schindlmayr and R. W. Godby, Phys. Rev. B 51, 10 427 (1995).
21. K. Schönhammer, O. Gunnarsson, and R. M. Noack, Phys. Rev. B 52, 2504 (1995).
22. T. L. Gilbert, Phys. Rev. B 12, 2111 (1975).
23. R. A. Donnelly and R. G. Parr, J. Chem. Phys. 69, 4431 (1978).
24. J. Chem. Phys.R. A. Donnelly, 71, 2874 (1979).See also, Density-Functional Theory of Atoms and Molecules (Ref. 3), p. 213ff, and references therein.
25. S. M. Valone, J. Chem. Phys. 73, 1344 (1980).
26. J. Chem. Phys.S. M. Valone73, 4653 (1980).
27. M. Levy, Proc. Natl. Acad. Sci. USA 76, 6062 (1979).
28. C. Lanczos, J. Res. Natl. Bur. Stand. 45, 255 (1950).
29. B. N. Parlett, The Symmetric Eigenvalue Problem (Prentice-Hall, Engelwood Cliffs, NJ, 1980).
30. J. K. Collum and R. A. Willoughby, Lanczos Algorithms for Large Symmetric Eigenvalue Computations (Birkhauser, Boston, 1985), Vol. I.
31. L. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).
32. H. Shiba, Phys. Rev. B 6, 930 (1972).
33. R. López-Sandoval and G. M. Pastor (unpublished).