Similarities between the Hubbard and periodic Anderson models at finite temperatures

Physical Review Letters

Volumn 85, Issue 2, 2000, Pages 373-376

  Held, K ^a   Huscroft, C ^b   Scalettar, R T ^c   McMahan, A K ^d  

^a UNIVERSITY OF AUGSBURG   (Germany)

^b UNIVERSITY OF CINCINNATI   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BAND STRUCTURE; ELECTRON SCATTERING; MAGNETIC PROPERTIES; MAGNETISM; MATHEMATICAL MODELS; PHASE DIAGRAMS; PHASE TRANSITIONS; PROBABILITY DENSITY FUNCTION;

HUBBARD MODELS; ITINERANT MAGNETISM; MOTT TRANSITION; PERIODIC ANDERSON MODELS;

ELECTRON TRANSITIONS;

EID: 0034227110     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.373     Document Type: Article

References (39)

1. F. Gebhard, The Mott Metal-Insulator Transition (Springer-Verlag, Berlin, 1997).
2. A. Georges et al., Rev. Mod. Phys. 68, 13 (1996).
3. J. Hubbard, Proc. R. Soc. London A 281, 281 (1964).
4. D. M. Newns and N. Read, Adv. Phys. 36, 799 (1987).
5. C. Huscroft et al., Phys. Rev. Lett. 82, 2342 (1999).
6. D. Vollhardt, in Correlated Electron Systems, edited by V. J. Emery (World Scientific, Singapore, 1993), p. 57; Th. Pruschke et al., Adv. Phys. 44, 187 (1995).
7. D. Vollhardt, in Correlated Electron Systems, edited by V. J. Emery (World Scientific, Singapore, 1993), p. 57; Th. Pruschke et al., Adv. Phys. 44, 187 (1995).
8. M. Ulmke et al., Phys. Rev. B 54, 16 523 (1996).
9. B. Johansson, Philos. Mag. 30, 469 (1974); B. Johansson et al., Phys. Rev. Lett. 74, 2335 (1995).
10. B. Johansson, Philos. Mag. 30, 469 (1974); B. Johansson et al., Phys. Rev. Lett. 74, 2335 (1995).
11. J. W. Allen and R. M. Martin, Phys. Rev. Lett. 49, 1106 (1982); J. W. Allen and L. Z. Liu, Phys. Rev. B 46, 5047 (1992); M. Lavagna et al., Phys. Lett. 90A, 210 (1982); J. Phys. F 13, 1007 (1983).
12. J. W. Allen and R. M. Martin, Phys. Rev. Lett. 49, 1106 (1982); J. W. Allen and L. Z. Liu, Phys. Rev. B 46, 5047 (1992); M. Lavagna et al., Phys. Lett. 90A, 210 (1982); J. Phys. F 13, 1007 (1983).
13. J. W. Allen and R. M. Martin, Phys. Rev. Lett. 49, 1106 (1982); J. W. Allen and L. Z. Liu, Phys. Rev. B 46, 5047 (1992); M. Lavagna et al., Phys. Lett. 90A, 210 (1982); J. Phys. F 13, 1007 (1983).
14. J. W. Allen and R. M. Martin, Phys. Rev. Lett. 49, 1106 (1982); J. W. Allen and L. Z. Liu, Phys. Rev. B 46, 5047 (1992); M. Lavagna et al., Phys. Lett. 90A, 210 (1982); J. Phys. F 13, 1007 (1983).
15. See, e.g., U. Benedict et al., Physica (Amsterdam) 144B, 14 (1986).
16. A. K. McMahan et al., J. Comput.-Aided Mater. Design 5, 131 (1998).
17. DMFT studies of the on-site hybridization model include the following: M. Jarrell et al., Phys. Rev. Lett. 70, 1670 (1993); M. Jarrell, Phys. Rev. B 51, 7429 (1995); A. N. Tahvildar-Zadeh et al., Phys. Rev. B 55, 3332 (1997); M. J. Rozenberg, Phys. Rev. B 52, 7369 (1995).
18. DMFT studies of the on-site hybridization model include the following: M. Jarrell et al., Phys. Rev. Lett. 70, 1670 (1993); M. Jarrell, Phys. Rev. B 51, 7429 (1995); A. N. Tahvildar-Zadeh et al., Phys. Rev. B 55, 3332 (1997); M. J. Rozenberg, Phys. Rev. B 52, 7369 (1995).
19. DMFT studies of the on-site hybridization model include the following: M. Jarrell et al., Phys. Rev. Lett. 70, 1670 (1993); M. Jarrell, Phys. Rev. B 51, 7429 (1995); A. N. Tahvildar-Zadeh et al., Phys. Rev. B 55, 3332 (1997); M. J. Rozenberg, Phys. Rev. B 52, 7369 (1995).
20. DMFT studies of the on-site hybridization model include the following: M. Jarrell et al., Phys. Rev. Lett. 70, 1670 (1993); M. Jarrell, Phys. Rev. B 51, 7429 (1995); A. N. Tahvildar-Zadeh et al., Phys. Rev. B 55, 3332 (1997); M. J. Rozenberg, Phys. Rev. B 52, 7369 (1995).
21. R. Blankenbecler et al., Phys. Rev. D 24, 2278 (1981).
22. QMC studies of the on-site hybridization model include the following: J. Bonča and J. E. Gubernatis, Phys. Rev. B 58, 6992 (1998); Y. Zhang and J. Callaway, Phys. Rev. B 38, 641 (1988); M. Vekic et al., Phys. Rev. Lett. 74, 2367 (1995).
23. QMC studies of the on-site hybridization model include the following: J. Bonča and J. E. Gubernatis, Phys. Rev. B 58, 6992 (1998); Y. Zhang and J. Callaway, Phys. Rev. B 38, 641 (1988); M. Vekic et al., Phys. Rev. Lett. 74, 2367 (1995).
24. QMC studies of the on-site hybridization model include the following: J. Bonča and J. E. Gubernatis, Phys. Rev. B 58, 6992 (1998); Y. Zhang and J. Callaway, Phys. Rev. B 38, 641 (1988); M. Vekic et al., Phys. Rev. Lett. 74, 2367 (1995).
25. The DMFT single site problem is solved numerically following J. E. Hirsch and R. M. Fye, Phys. Rev. Lett. 56, 2521 (1986).
26. While the transition observed is not first order (at the temperatures considered), it is very difficult to decide numerically whether it is a second-order phase transition or noncritical. We use the word "crossover" to express our expectation that it is noncritical without excluding the possibility that it is second order.
27. W. F. Brinkman and T. M. Rice, Phys. Rev. B 2, 4302 (1970).
28. J. Schlipf et al., Phys. Rev. Lett. 82, 4890 (1999).
29. R. M. Noack and F. Gebhard, Phys. Rev. Lett. 82, 1915 (1999); R. Bulla, Phys. Rev. Lett. 83, 136 (1999).
30. R. M. Noack and F. Gebhard, Phys. Rev. Lett. 82, 1915 (1999); R. Bulla, Phys. Rev. Lett. 83, 136 (1999).
31. N. Bulut et al., Phys. Rev. Lett. 72, 705 (1994); M. Ulmke et al., Phys. Rev. B 51, 10 411 (1995).
32. N. Bulut et al., Phys. Rev. Lett. 72, 705 (1994); M. Ulmke et al., Phys. Rev. B 51, 10 411 (1995).
33. fd ∼ 0.4 eV for both on-site and even-parity nearest-neighbor hybridizations (the only two tested), which as noted in that paper are in order of magnitude agreement with experiment.
34. O. Eriksson et al., Phys. Rev. B 41, 7311 (1990); A. Svane et al., Phys. Rev. B 56, 7143 (1997); Z. Szotek et al., Phys. Rev. Lett. 72, 1244 (1994); A. Svane, Phys. Rev. Lett. 72, 1248 (1994); Phys. Rev. B 53, 4275 (1996).
35. O. Eriksson et al., Phys. Rev. B 41, 7311 (1990); A. Svane et al., Phys. Rev. B 56, 7143 (1997); Z. Szotek et al., Phys. Rev. Lett. 72, 1244 (1994); A. Svane, Phys. Rev. Lett. 72, 1248 (1994); Phys. Rev. B 53, 4275 (1996).
36. O. Eriksson et al., Phys. Rev. B 41, 7311 (1990); A. Svane et al., Phys. Rev. B 56, 7143 (1997); Z. Szotek et al., Phys. Rev. Lett. 72, 1244 (1994); A. Svane, Phys. Rev. Lett. 72, 1248 (1994); Phys. Rev. B 53, 4275 (1996).
37. O. Eriksson et al., Phys. Rev. B 41, 7311 (1990); A. Svane et al., Phys. Rev. B 56, 7143 (1997); Z. Szotek et al., Phys. Rev. Lett. 72, 1244 (1994); A. Svane, Phys. Rev. Lett. 72, 1248 (1994); Phys. Rev. B 53, 4275 (1996).
38. O. Eriksson et al., Phys. Rev. B 41, 7311 (1990); A. Svane et al., Phys. Rev. B 56, 7143 (1997); Z. Szotek et al., Phys. Rev. Lett. 72, 1244 (1994); A. Svane, Phys. Rev. Lett. 72, 1248 (1994); Phys. Rev. B 53, 4275 (1996).
39. P. Söderlind, Adv. Phys. 47, 959 (1998).