Electron-phonon vertex in the two-dimensional one-band Hubbard model

Physical Review B - Condensed Matter and Materials Physics

Volumn 68, Issue 22, 2003, Pages

  Huang, Z B ^a   Hanke, W ^a   Arrigoni, E ^a   Scalapino, D J ^b  

^a UNIVERSITY OF WÜRZBURG   (Germany)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CONDUCTOR; ELECTRON; ENERGY; MATHEMATICAL ANALYSIS; MODEL; MONTE CARLO METHOD; PHONON; QUANTUM THEORY; SUPERCONDUCTOR;

EID: 0742287794     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.68.220507     Document Type: Article

References (23)

1. M. Imada et al., Rev. Mod. Phys. 70, 1039 (1998).
2. P.W. Anderson, Phys. Ser., T T102, 10 (2002).
3. V.G. Hadjiev et al., Phys. Rev. B 58, 1043 (1998);
4. for a review, see also M.L. Kulic, Phys. Rep. 338, 1 (2000).
5. J.P. Franck et al., Phys. Rev. Lett. 71, 283 (1993).
6. D. Shimada et al., Phys. Rev. B 51, R16 495 (1995).
7. A. Lanzara et al., Nature (London) 412, 510 (2001).
8. J.H. Kim, and Z. Tesanovic, Phys. Rev. Lett. 71, 4218 (1993).
9. M. Grilli and C. Castellani, Phys. Rev. B 50, 16 880 (1994).
10. R. Zeyher and M.L. Kulic, Phys. Rev. B 53, 2850 (1996).
11. N. Bulut and D.J. Scalapino, Phys. Rev. B 54, 14 971 (1996).
12. R. Blankenbecler et al., Phys. Rev. D 24, 2278 (1981).
13. 0 is set to be zero.
14. B. Cerruti et al., cond-mat/0307190 (unpublished).
15. The imaginary-time-dependent perturbation (2) has a well-defined meaning within a functional-integral formulation, where it leads to the linear-response result (5). Details will be given elsewhere.
16. This method could, of course, be extended to take into account phonon vertex corrections, but here we are interested in understanding the effects of the Hubbard interaction U on the vertex.
17. 0.
18. A. Deppeler and A.J. Millis, Phys. Rev. B 65, 100301 (2002);
19. Phys. Rev. B A. Deppeler A.J. Millis 65, 224301 (2002);
20. Phys. Rev. B S. Blawid et al., 67, 165105 (2003);
21. Phys. Rev. B J.K. Freericks, 50, 403 (1994);
22. Phys. Rev. B J.K. Freericks and M. Jarrell, 50, 6939 (1994).
23. C. Gröber et al., Phys. Rev. B 62, 4336 (2000), and references therein.