Sum-rules for Raman scattering off strongly correlated electron systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 24, 2008, Pages

  De Medici, Luca ^a   Georges, Antoine ^b   Kotliar, Gabriel ^a  

^a RUTGERS UNIVERSITY   (United States)

^b CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 45749130990     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.245128     Document Type: Article

References (23)

1. R. Kubo, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.12.570 12, 570 (1957).
2. M. R. Norman and C. Pepin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.100506 66, 100506 (R) (2002).
3. A. Millis, in Strong Interactions in Low Dimensions, edited by, D. Baeriswyl, and, L. Degiorgi, (Springer-Verlag, Berlin, 2004).
4. D. van der Marel, Strong Interactions in Low Dimensions (Ref.).
5. G. Deutscher, A.-F. Santander-Syro, and N. Bontemps, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.092504 72, 092504 (2005), and references therein.
6. J. Kosztin and A. Zawadowski, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(91)90123-D 78, 1029 (1991).
7. J. K. Freericks, T. P. Devereaux, M. Moraghebi, and S. L. Cooper, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.216401 94, 216401 (2005).
8. B. S. Shastry and B. I. Shraiman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.1068 65, 1068 (1990).
9. M. Le Tacon, A. Sacuto, A. Georges, G. Kotliar, Y. Gallais, D. Colson, and A. Forget, Nat. Phys. ZZZZZZ 1745-2473 2, 537 (2006).
10. A. J. Millis, Science SCIEAS 0036-8075 10.1126/science.1137173 314, 1888 (2006).
11. W. Guyard, M. LeTacon, M. Cazayous, A. Sacuto, A. Georges, D. Colson, and A. Forget, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.77.024524 77, 024524 (2008).
12. A. V. Chubukov and M. Norman, arXiv:0802.4241, Phys. Rev. B (to be published).
13. W. Guyard, A. Sacuto, M. Cazayous, Y. Gallais, M. L. Tacon, D. Colson, and A. Forget, arXiv:0802.3166 (unpublished).
14. T. Devereaux and R. Hackl, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.79.175 79, 175 (2007), and references therein.
15. G. Mahan, Many-Particle Physics (Plenum, New York, 1981).
16. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.68.13 68, 13 (1996).
17. We are interested here in the Raman response of a bidimensional cubic lattice, so in the calculation of the response function we will make use of a form factor obtained by integrating functions of the cubic dispersion [Eq. 5] over the bidimensional Brillouin zone. Hence, DMFT here has to be thought as a local self-energy approximation of the finite dimensional lattice rather than the solution of the ∞-dimensional counterpart of the model under investigation. In this light the choice of a semicircular DOS (see the footnote on DMFT technical data) for the impurity model (which facilitates the numerical solution) is not a severe inconsistency with the cubic dispersion used in the response function.
18. The real-axis self-energies are calculated for ω=ω+i Γbr, with Γbr =0.1 in order to smoothen out the spikes due to the discretization of the bath.
19. M. Opel, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.9752 61, 9752 (2000).
20. L. Tassini, W. Prestel, A. Erb, M. Lambacher, and R. Hackl, arXiv:0705.3635 (unpublished).
21. A. Comanac, L. de'Medici, M. Capone, and A. Millis, Nat. Phys. ZZZZZZ 1745-2473 4, 287 (2008).
22. G. Kotliar and J. Liu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38. 5142 38, 5142 (R) (1988).
23. G. Biroli, O. Parcollet, and G. Kotliar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.205108 69, 205108 (2004).