Hund's coupling and the metal-insulator transition in the two-band Hubbard model

European Physical Journal B

Volumn 44, Issue 2, 2005, Pages 217-224

  Pruschke, Th ^a   Bulla, R ^b  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b Theor Phys III Inst Phys U   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BAND STRUCTURE; ELECTRON ENERGY LEVELS; ELECTRONIC DENSITY OF STATES; FERMIONS; HAMILTONIANS; IMPURITIES; LANTHANUM COMPOUNDS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; THERMODYNAMICS;

COULOMB INTERACTIONS; HEAVY FERMIONS; HUBBARD MODELS; LATTICE FERMION MODELS; METAL-INSULATOR TRANSITIONS AND OTHER ELECTRONIC TRANSITIONS; STRONGLY CORRELATED ELECTRON SYSTEMS; TWO-BAND SINGLE-IMPURITY ANDERSON MODEL;

METAL INSULATOR TRANSITION;

EID: 17744380424     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2005-00117-4     Document Type: Article

References (51)

1. M. Imada, A. Fujimori, Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998)
2. J. Hubbard, Proc. R. Soc. London A 276, 238 (1963);
3. M.C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963);
4. J. Kanamori, Prog. Theor. Phys. 30, 275 (1963)
5. W. Metzner, D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989)
6. T. Pruschke, M. Jarrell, J.K. Freericks, Adv. Phys. 42, 187 (1995)
7. A. Georges, G. Kotliar, W. Krauth, M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996)
8. M. Jarrell, Th. Pruschke, Z. Phys. B 90, 187 (1993)
9. R. Bulla, Phys. Rev. Lett. 83, 136 (1999)
10. R. Bulla, T.A. Costi, D. Vollhardt, Phys. Rev. B 64, 045103 (2001)
11. D.B. McWhan, J.P. Remeika, Phys. Rev. B 2, 3734 (1970); D.B. McWhan et al., Phys. Rev. B 7, 1920 (1973)
12. D.B. McWhan, J.P. Remeika, Phys. Rev. B 2, 3734 (1970); D.B. McWhan et al., Phys. Rev. B 7, 1920 (1973)
13. M.J. Rozenberg et al., Phys. Rev. Lett. 75, 105 (1995)
14. P. Limelette, A. Georges, D. Jerome, P. Wzietek, P. Metcalf, J.M. Honig, Science 302, 89 (2003)
15. C. Castellani, C.R. Natoli, J. Ranninger, Phys. Rev. B 18, 4967 (1978); C. Castellani, C.R. Natoli, J. Ranninger, Phys. Rev. B 18, 5001 (1978)
16. C. Castellani, C.R. Natoli, J. Ranninger, Phys. Rev. B 18, 4967 (1978); C. Castellani, C.R. Natoli, J. Ranninger, Phys. Rev. B 18, 5001 (1978)
17. S. Yu. Ezhov, V.I. Anisimov, D.I. Khomskii, G.A. Sawatzky, Phys. Rev. Lett. 83, 4136 (1999)
18. M.J. Rozenberg, Phys. Rev. B 55, R4855 (1997)
19. J.E. Han, M. Jarrell, D.L. Cox, Phys. Rev. B 58, 4100 (1998)
20. A. Koga, Y. Imai, N. Kawakami, Phys. Rev. B 66, 165107 (2002)
21. S. Florens, A. Georges, G. Kotliar, O. Pacollet, Phys. Rev. B 66, 205102 (2002)
22. Y. Ōno, M. Potthoff, R. Bulla, Phys. Rev. B 67, 035119 (2003)
23. G. Kotliar, D. Vollhardt, Physics Today 57, No. 3 (March), 53 (2004);. K. Held, I.A. Nekrasov, G. Keller, V. Eyert, N. Blümer, A.K. McMahan, R.T. Scalettar, Th. Pruschke, V.I. Anisimov, D. Vollhardt, Psi-k Newsletter #56, 65 (2003) [psi-k.dl.ac.uk/newsletters/News_56/Highlight.56.pdf]
24. G. Kotliar, D. Vollhardt, Physics Today 57, No. 3 (March), 53 (2004);. K. Held, I.A. Nekrasov, G. Keller, V. Eyert, N. Blümer, A.K. McMahan, R.T. Scalettar, Th. Pruschke, V.I. Anisimov, D. Vollhardt, Psi-k Newsletter #56, 65 (2003) [psi-k.dl.ac.uk/newsletters/News_56/Highlight.56.pdf]
25. S. Sakai, R. Arita, H. Aoki, Phys. Rev. B 70, 172504 (2004)
26. A.N. Rubtsov, V.V. Savkin, A.I. Lichtenstein, cond-mat/0411344 (2004)
27. K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975); H.R. Krishna-Murthy, J.W. Wilkins, K.G. Wilson, Phys. Rev. B 21, 1003 (1980); H.R. Krishna-Murthy, J.W. Wilkins, K.G. Wilson, Phys. Rev. B 21, 1044 (1980)
28. K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975); H.R. Krishna-Murthy, J.W. Wilkins, K.G. Wilson, Phys. Rev. B 21, 1003 (1980); H.R. Krishna-Murthy, J.W. Wilkins, K.G. Wilson, Phys. Rev. B 21, 1044 (1980)
29. K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975); H.R. Krishna-Murthy, J.W. Wilkins, K.G. Wilson, Phys. Rev. B 21, 1003 (1980); H.R. Krishna-Murthy, J.W. Wilkins, K.G. Wilson, Phys. Rev. B 21, 1044 (1980)
30. R. Bulla, A.C. Hewson, Th. Pruschke, J. Phys.: Condens. Matter 10, 8365 (1998)
31. W.C. Oliveira, L.N. Oliveira, Phys. Rev. B 49, 11986 (1994)
32. O. Sakai, Y. Shimizu, T. Kasuya, J. Phys. Soc. Jpn 58, 3666 (1989); W. Izumida, O. Sakai, Y. Shimizu, J. Phys. Soc. Jpn 67, 2444 (1998)
33. O. Sakai, Y. Shimizu, T. Kasuya, J. Phys. Soc. Jpn 58, 3666 (1989); W. Izumida, O. Sakai, Y. Shimizu, J. Phys. Soc. Jpn 67, 2444 (1998)
34. M. Kojima, S. Yotsuhashi, K. Miyake, Acta Phys. Pol. B 22, 1331 (2003); L. De Leo, M. Fabrizio, Phys. Rev. B 69, 245114 (2004)
35. M. Kojima, S. Yotsuhashi, K. Miyake, Acta Phys. Pol. B 22, 1331 (2003); L. De Leo, M. Fabrizio, Phys. Rev. B 69, 245114 (2004)
36. A.K. Zhuravlev, V.Y. Irkhin, M.I. Katsnelson, A.I. Lichtenstein, Phys. Rev. Lett. 93, 236403 (2004)
37. The quarter-filled case is, as far as Hund's coupling is concerned, of little interest here. However, interesting physics can be found in the presence of a magnetic field (see, for example, Ref. [27])
38. A.C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, 1993)
39. R. Bulla, M. Vojta, in Concepts in Electron Correlations, edited by A.C. Hewson, V. Zlatic (Kluwer Academic Publishers, Dordrecht, 2003), p. 209; and references therein
40. G. Kotliar, H. Kajueter, Phys. Rev. B 54, 14221 (1999)
41. A. Koga, T. Ohashi, Y. Imai, S. Suga, N. Kawakami, J. Phys. Soc. Jpn 72, 1306 (2003)
42. J.P. Lu, Phys. Rev. B 49, 5687 (1994)
43. R. Frésard, G. Kotliar, Phys. Rev. B 56, 12909 (1997); R. Frésard, M. Lamboley, J. Low Temp. Phys. 126, 1091 (2002)
44. R. Frésard, G. Kotliar, Phys. Rev. B 56, 12909 (1997); R. Frésard, M. Lamboley, J. Low Temp. Phys. 126, 1091 (2002)
45. E. Koch, O. Gunnarsson, R.M. Martin, Phys. Rev. B 60, 15714 (1999)
46. J. Bünemann, W. Weber, Phys. Rev. B 55, 4011 (1997); J. Bünemann, W. Weber, F. Gebhard, Phys. Rev. B 57, 6896 (1998)
47. J. Bünemann, W. Weber, Phys. Rev. B 55, 4011 (1997); J. Bünemann, W. Weber, F. Gebhard, Phys. Rev. B 57, 6896 (1998)
48. A. Koga, N. Kawakami, T.M. Rice, M. Sigrist, Phys. Rev. Lett. 92, 216402 (2004)
49. A. Liebsch, Phys. Rev. Lett. 91, 226401 (2003)
50. We have chosen a fixed ration for J/U, because in typical experiments we expect the bandwidth to be the control parameter (through the variation of pressure); this means it is more natural to change U/W and J/W, but keep J/U fixed
51. Neglect of last term in (2) in fact appears to be non-critical. We therefore concentrate of the spin-flip terms in Hund's coupling