Slave-rotor mean-field theories of strongly correlated systems and the Mott transition in finite dimensions

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 3, 2004, Pages

  Florens, Serge ^a,b   Georges, Antoine ^b,c  

^a UNIVERSITY OF KARLSRUHE   (Germany)

^b ECOLE NORMALE SUPÉRIEURE   (France)

^c CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BOSON; CHEMICAL REACTION; ELECTRON TRANSPORT; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; MOLECULAR MODEL; PHASE TRANSITION; QUANTUM MECHANICS; REACTION ANALYSIS;

EID: 37649027828     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.035114     Document Type: Article

References (40)

1. M. Imada, A. Fujimori, and Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998), and references therein.
2. A. Georges, G. Kotliar, W. Krauth, and M. Rozenberg, Rev. Mod. Phys. 68, 13 (1996), and references therein.
3. K. Held, I. A. Nekrasov, N. Blümer, V. I. Anisimov, and D. Vollhardt, Int. J. Mod. Phys. B 15, 2611 (2001), cond-mat/0010395, and references therein.
4. A. I. Lichtenstein, M. I. Katsnelson, and G. Kotliar, in Electron Correlations and Materials Properties 2, edited by A. Gonis (Kluwer, New York, 2002), cond-mat/0211076, and references therein.
5. A. Georges, in Lectures on the Physics of Highly Correlated Electron Systems, edited by A. Avella and F. Mancini (American Institute of Physics, New York, 2004), cond-mat/0403123, and references therein.
6. T. Maier, M. Jarrell, T. Pruschke, and M. H. Hettler, Report No. cond-mat/0404055, 2004 (unpublished), and references therein.
7. S. Florens and A. Georges, Phys. Rev. B 66, 165111 (2002).
8. S. Florens, P. S. Jose, F. Guinea, and A. Georges, Phys. Rev. B 68, 245311 (2003).
9. G. Kotliar and A. E. Ruckenstein, Phys. Rev. Lett. 57, 1362 (1986).
10. H. Hasegawa, Phys. Rev. B 56, 1196 (1997).
11. S. Florens, A. Georges, G. Kotliar, and O. Parcollet, Phys. Rev. B 66, 205102 (2002).
12. L. Perfetti, A. Georges, S. Florens, S. Biermann, S. Mitrovic, H. Berger, Y. Tomm, H. Höchst, and M. Grioni, Phys. Rev. Lett. 90, 166401 (2003).
13. S. Florens, Ph.D. thesis, Université Paris 6 and Ecole Normale Supérieure, Paris (2003), http://www.lpt.ens.fr/~florens
14. R. Fresard and G. Kotliar, Phys. Rev. B 56, 12909 (1997).
15. J. Bünemann, W. Weber, and F. Gebhard, Phys. Rev. B 57, 6896 (1998).
16. H. Grabert, Phys. Rev. B 50, 17364 (1994).
17. H. Schoeller and G. Schön, Phys. Rev. B 50, 18436 (1994).
18. E. Lebanon, A. Schiller, and F. B. Anders, Phys. Rev. B 68, 041311 (2003).
19. C. P. Herrero, G. Schön, and A. D. Zaikin, Phys. Rev. B 59, 5728 (1999).
20. P. Coleman, Phys. Rev. B 29, 3035 (1984).
21. G. Kotliar, The Large N Expansion in the Strong Correlation Problem (Elsevier, New York, 1991), les Houches Summer School.
22. S. Florens, L. de' Medici, and A. Georges (unpublished).
23. A. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, 1996).
24. G. Kotliar and J. Liu, Phys. Rev. B 38, 5142 (1988).
25. J. B. Marston and I. Affleck, Phys. Rev. B 39, 11538 (1989).
26. J. P. Lu, Phys. Rev. B 49, 5687 (1994).
27. W. F. Brinkman and T. M. Rice, Phys. Rev. B 2, 4302 (1970).
28. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B 40, 546 (1989).
29. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 2000).
30. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).
31. D. P. Arovas and A. Auerbach, Phys. Rev. B 38, 316 (1988).
32. J. Hubbard, Proc. R. Soc. London, Ser. A 281, 401 (1964).
33. C. Castellani, G. Kotliar, R. Raimondi, M. Grilli, Z. Wang, and M. Rozenberg, Phys. Rev. Lett. 69, 2009 (1992).
34. P. Coleman, Phys. Rev. B 35, 5072 (1987).
35. N. F. Mott, Philos. Mag. 6, 287 (1961).
36. M. Capone, M. Fabrizio, C. Castellani, and E. Tosatti, Report No. cond-mat/0401090, 2004 (unpublished).
37. J. J. Garcia-Ripoll, J. I. Cirac, P. Zoller, C. Kollath, U. Schollwoeck, and J. von Delft, Report No. cond-mat/0306162, 2003 (unpublished).
38. R. Assaraf, P. Azaria, M. Caffarel, and P. Lecheminant, Phys. Rev. B 60, 2299 (1999).
39. A rescaling of the Coulomb repulsion U → U/2 was used in order to preserve the exact atomic limit, as discussed in Ref. 7.
40. c is possible in d=1, as indeed found for larger orbital degeneracy, see, e.g., the analysis of the case N=4 in Ref. 38.