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Ground-states of the three-dimensional Falicov-Kimball model

  • Solid and Condensed State Physics
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Abstract.

A systematic study of ground-state properties of the three-dimensional Falicov-Kimball model is performed by a well-controlled numerical method. The results obtained are used to categorize the ground-state configurations according to common features for weak, intermediate and strong interactions. It is shown that only a few configuration types form the basic structure of the phase diagram. In particular, the largest regions of stability correspond to phase segregated configurations, striped configurations and configurations in which electrons are distributed in diagonal planes with incomplete chessboard structure. Near half-filling, mixtures of two phases with complete and incomplete chessboard structure are determined. The relevance of these results for a description of real materials is discussed.

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References

  • L.M. Falicov, J.C. Kimball, Phys. Rev. Lett. 22, 997 (1969); K. Ramirez, L.M. Falicov, Phys. Rev. B 3, 2455 (1971)

    Article  Google Scholar 

  • D.L. Khomskii, Quantum Theory of Solids, edited by I.M. Lifshitz (Mir, Moscow 1982)

  • Ch. Gruber, M. Macris, Helv. Phys. Acta B 69 851 (1996)

    Google Scholar 

  • J.K. Freericks, E.H. Lieb, D. Ueltschi, Phys. Rev. Lett. 88, 106401 (2002)

    Article  PubMed  Google Scholar 

  • J.K. Freericks, V. Zlatić, Rev. Mod. Phys. 75, 1333 (2003)

    Article  Google Scholar 

  • G.I. Watson, R. Lemanski, J. Phys.: Condens. Matter 7, 9521 (1995); R. Lemanski, J.K. Freericks, G. Banach, Phys. Rev. Lett. 89, 196403 (2002); R. Lemanski, J.K. Freericks, G. Banach, J. Stat. Phys. 116, 699 (2004)

    Article  Google Scholar 

  • P. Farkašovský, Phys. Rev. B 51, 1507 (1995); P. Farkašovský, Phys. Rev. B 52, R5463 (1995)

    Article  Google Scholar 

  • P. Farkašovský, Phys. Rev. B 54, 7856 (1996)

    Google Scholar 

  • P. Farkašovský, Eur. J. Phys. B 20, 209 (2001)

    Google Scholar 

  • C. Gruber, D. Ueltschi, J. Jedrzejewski, J. Stat. Phys. 76, 125 (1994)

    Google Scholar 

  • P. Farkašovský, Phys. Rev. B 60, 10776 (1999)

    Google Scholar 

  • P. Wachter, in Handbook on the Physics and Chemistry of Rare Earth, edited by K.A. Gschneider, L.R. Eyring (North-Holland, Amsterdam, 1994), Vol. 19

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Authors and Affiliations

  1. Institute of Experimental Physics, Slovak Academy of Sciences Watsonova 47, 043 53, Košice, Slovakia

    P. Farkašovský, H. Čenčariková & N. Tomašovičová

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  1. P. Farkašovský
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  2. H. Čenčariková
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  3. N. Tomašovičová
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Correspondence to P. Farkašovský.

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Farkašovský, P., Čenčariková, H. & Tomašovičová, N. Ground-states of the three-dimensional Falicov-Kimball model. Eur. Phys. J. B 45, 479–484 (2005). https://doi.org/10.1140/epjb/e2005-00217-1

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  • DOI: https://doi.org/10.1140/epjb/e2005-00217-1

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