Critical behaviour near the metal-insulator transition of a doped Mott insulator

European Physical Journal B

Volumn 22, Issue 3, 2001, Pages 283-290

  Ono, Y ^a   Bulla, R ^b   Hewson, A C ^c   Potthoff, M ^d  

^a NAGOYA UNIVERSITY   (Japan)

^b UNIVERSITY OF AUGSBURG   (Germany)

^c IMPERIAL COLLEGE LONDON   (United Kingdom)

^d NONE

Author keywords

71.10.Fd Lattice fermion models (Hubbard model, etc.); 71.27.+a Strongly correlated electron systems; heavy fermions; 71.30.+h Metal insulator transitions and other electronic transitions

Indexed keywords

EID: 0012307090     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00011147     Document Type: Article

References (27)

1. F. Gebhard, The Mott Metal-Insulator Transition, Springer Tracts in Modern Physics, Vol. 137 (Springer, Berlin, 1994).
2. For a review, see A. Georges, G. Kotliar, W. Krauth, M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).
3. W. Metzner, D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989).
4. Th. Pruschke, M. Jarrell, J.K. Freericks, Adv. Phys. 44, 187 (1995).
5. D.S. Fisher, G. Kotliar, G. Moeller, Phys. Rev. B 52, 17112 (1995).
6. M. Jarrell, Phys. Rev. Lett. 69, 168 (1992).
7. M. Caffarel, W. Krauth, Phys. Rev. Lett. 72, 1545 (1994).
8. O. Sakai, Y. Kuramoto, Solid State Commun. 89, 307 (1994).
9. R. Bulla, A.C. Hewson, Th. Pruschke, J. Phys. Cond. Matt. 10, 8365 (1998).
10. J. Schlipf, M. Jarrell, P.G.J. van Dongen, N. Blümer, S. Kehrein, Th. Pruschke, D. Vollhardt, Phys. Rev. Lett. 82, 4890 (1999).
11. M.J. Rozenberg, R. Chitra, G. Kotliar, Phys. Rev. Lett. 83, 3498 (1999).
12. R.M. Noack, F. Gebhard, Phys. Rev. Lett. 82, 1915 (1999).
13. R. Bulla, Phys. Rev. Lett. 83, 136 (1999).
14. W. Krauth, Phys. Rev. B 62, 6860 (2000).
15. R. Bulla, T.A. Costi, D. Vollhardt, Phys. Rev. B 64, 045103 (2001), cond-mat/0012329.
16. H. Kajueter, G. Kotliar, Phys. Rev. Lett. 77, 131 (1996); M. Potthoff, T. Wegner, W. Nolting, Phys. Rev. B 55, 16132 (1997).
17. H. Kajueter, G. Kotliar, Phys. Rev. Lett. 77, 131 (1996); M. Potthoff, T. Wegner, W. Nolting, Phys. Rev. B 55, 16132 (1997).
18. R. Bulla, M. Potthoff, Eur. Phys. J. B 13, 257 (2000).
19. Y. Ōno, R. Bulla, A.C. Hewson, Eur. Phys. J. B 19, 375 (2001).
20. This simplification is not essential. The general case for the single-band Hubbard model and for the two-band Hubbard model are discussed in references [17, 18].
21. One could start with a guess for the self-energy as well.
22. A.C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, 1993).
23. In the limit U = ∞, equation (26) yields μ_ = √5/2t. This underestimates the numerical value obtained from the PSCM μ_ ≈ 2.036* [5]. The latter is consistent with a quasiparticle peak separated from the lower Hubbard band with half-bandwidth 2t for U = ∞.
24. D. Vollhardt, Rev. Mod. Phys. 56, 99 (1984).
25. D. Vollhardt, P. Wöffle, P. W. Anderson, Phys. Rev. B 35, 6703 (1987).
26. M. Imada, A. Fujimori, Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998).
27. Y. Ōno, K. Sano, Proceedings of CREST International Workshop, J. Phys. Chem. Solids 62, 285 (2001).