Sum-rules for Raman scattering off strongly correlated electron systems
| dc.creator | Medici, L. de' | |
| dc.creator | Georges, A. | |
| dc.creator | Kotliar, G. | |
| dc.date | 2008-03-05 | |
| dc.date.accessioned | 2026-07-07T10:03:23Z | |
| dc.date.available | 2026-07-07T10:03:23Z | |
| dc.description | We investigate sum-rules applying to the Raman intensity in a strongly correlated system close to the Mott transition. Quite generally, it can be shown that, provided the frequency integration is performed up to a cutoff smaller than the upper Hubbard band, a sum-rule applies to the non-resonant Raman signal of a doped Mott insulator, resulting in an integrated intensity which is proportional to the doping level. We provide a detailed derivation of this sum-rule for the t-J model, for which the frequency cutoff can be taken to infinity and an unrestricted sum-rule applies. A quantitative analysis of the sum-rule is also presented for the d-wave superconducting phase of the t-J model, using slave boson methods. The case of the Hubbard model is studied in the framework of dynamical mean-field theory, with special attention to the cutoff dependence of the restricted sum-rule, and also to the intermediate coupling regime. The sum-rule investigated here is shown to be consistent with recent experimental data on cuprate superconductors, reporting measurements of Raman scattering intensities on an absolute scale. | |
| dc.description | 11 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/0803.0752 | |
| dc.identifier | http://arxiv.org/abs/0803.0752 | |
| dc.identifier | Phys. Rev. B 77, 245128 (2008) | |
| dc.identifier | doi:10.1103/PhysRevB.77.245128 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169268 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Superconductivity | |
| dc.title | Sum-rules for Raman scattering off strongly correlated electron systems | |
| dc.type | text |