Density-matrix functional theory of strongly correlated lattice fermions

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 15, 2002, Pages 1-6

  Lopez Sandoval R ^a   Pastor, G M ^b  

^a INSTITUTO POTOSINO DE INVESTIGACIÓN CIENTÍFICA Y TECNOLÓGICA   (Mexico)

^b UNIVERSITÉ PAUL SABATIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84890592646     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.155118     Document Type: Article

References (24)

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14. For more recent studies see, for example, S. Goedecker and C.J. Umrigar, Phys. Rev. Lett. 81, 866 (1998), and references therein.
15. A formulation of DFT on a lattice only in terms of the diagonal (formula presented) is possible only if one restricts oneself to models with constant (formula presented) for (formula presented) In this case the functional (formula presented) depends on the values of (formula presented) for (formula presented) and in particular on (formula presented) (see Ref. 3).
16. M. Levy, Proc. Natl. Acad. Sci. U.S.A. 76, 6062 (1979).
17. The LDFT formalism can be readily extended to arbitrary interactions (formula presented) by replacing (formula presented) by (formula presented) in Eq. (4). However, note that such a general functional (formula presented) depends crucially on (formula presented) See also Ref. 6.
18. L.H. Lieb and F.Y. Wu, Phys. Rev. Lett. 20, 1445 (1968);
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20. R. López-Sandoval and G. M. Pastor (unpublished).
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23. For (formula presented) and (formula presented) (formula presented) where (formula presented) Here, (formula presented) and (formula presented) refer, respectively, to the ground-state values of the kinetic and correlation energies (formula presented)
24. J.E. Hirsch, Phys. Rev. B 35, 1851 (1987).