Spinless two-band model in infinite dimensions

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 23, 1999, Pages 14837-14840

  Craco, Luis ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0342798302     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.14837     Document Type: Article

References (27)

1. B. Batlogg, in The Los Alamos Symposium, edited by R. Coffey et al. (Addison-Wesley, Reading, MA, 1991); see also Proceedings of 10th Anniversary HTS Workshop on Physics, Materials and Applications, edited by B. Batlogg, W. K. Chu, and D. Gubser (World Scientific, Singapore, 1996).
2. C. L. Seaman, et al., Phys. Rev. Lett. 67, 2882 (1991);
3. Phys. Rev. Lett.H. V. Löhneysen, et al., 72, 3262 (1994);
4. L. Degiorgi, et al., Phys. Rev. B 52, 42 (1995);
5. M. B. Maple, et al., Physica B 223-224, 447 (1996).
6. J. Voit, Rep. Prog. Phys. 58, 977 (1995).
7. R. Consiglio and M. A. Gusma̋o, Phys. Rev. B 55, 6825 (1997).
8. M. S. Laad and L. Craco, cond-mat/9806076 (unpublished).
9. Q. Si, et al., Phys. Rev. Lett. 72, 2761 (1994).
10. The problem is related with the semimetallic nature of Kondo insulators (Ref. 8), more precisely, whether interactions are able to provide a metallic phase in hybridization gap alloys.
11. T. Kasuya, Physica B 223-224, 402 (1996);
12. Physica BZ. Fisk, et al., 223-224, 409 (1996);
13. H. Ikeda and K. Miyake, J. Phys. Soc. Jpn. 65, 1769 (1996).
14. W. Metzner and D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989); see also,
15. E. Müller-Hartmann, Z. Phys. B 74, 507 (1989).
16. A. Georges, et al., Rev. Mod. Phys. 68, 13 (1996).
17. A. Georges and G. Kotliar, Phys. Rev. B 45, 6479 (1992).
18. L. Craco and M. A. Gusma̋o, Phys. Rev. B 54, 1629 (1996).
19. The transformation of the two-band electrons into up and down ones maps the SLTB model onto the SH model in the presence of a transverse magnetic field.
20. U. Brandt and C. Mielsch, Z. Phys. B 75, 365 (1989).
21. L. Craco and M. A. Gusma̋o, Phys. Rev. B 52, 17 135 (1995).
22. V. Janiš, Z. Phys. B 83, 227 (1991).
23. Equations (4) and (5) are the diagonal (Formula presented) and d Green’s functions, respectively) components of the matrix Green’s function for the SLTB model.
24. This relation is completely general and has been applied to other multiband systems. For example, one can find Eq. (8) in the two-channel Anderson lattice [F. B. Anders, et al., Phys. Rev. Lett. 78, 2000 (1997)] and in the Hubbard model with orbital degeneracy [
25. T. Momoi and K. Kubo, Phys. Rev. B 58, 567 (1998).
26. Q. Si, et al., Phys. Rev. B 46, 1261 (1992).
27. In the case of semicircular uncorrelated conduction band, the DOS at Fermi level is (Formula presented).