Kinks and d-waves from phonons: The intermediate coupling story
| dc.creator | Hague, J. P. | |
| dc.date | 2009-01-08 | |
| dc.date.accessioned | 2026-07-07T12:27:38Z | |
| dc.date.available | 2026-07-07T12:27:38Z | |
| dc.description | I present results from an approach that extends the Eliashberg theory by systematic expansion in the vertex function; an essential extension at large phonon frequencies, even for weak coupling. In order to deal with computationally expensive double sums over momenta, a dynamical cluster approximation (DCA) approach is used to incorporate momentum dependence into the Eliashberg equations. First, I consider the effects of introducing partial momentum dependence on the standard Eliashberg theory using a quasi-local approximation; which I use to demonstrate that it is essential to include corrections beyond the standard theory when investigating d-wave states. Using the extended theory with vertex corrections, I compute electron and phonon spectral functions. A kink in the electronic dispersion is found in the normal state along the major symmetry directions, similar to that found in photo-emission from cuprates. The phonon spectral function shows that for weak coupling $Wλ< ω_0$, the dispersion for phonons has weak momentum dependence, with consequences for the theory of optical phonon mediated d-wave superconductivity, which is shown to be 2nd order in $λ$. In particular, examination of the order parameter vs. filling shows that vertex corrections lead to d-wave superconductivity mediated via simple optical phonons. I map out the order parameters in detail, showing that there is significant induced anisotropy in the superconducting pairing in quasi-2D systems. | |
| dc.description | Proceedings of SNS 2007 | |
| dc.identifier | https://arxiv.org/abs/0901.1047 | |
| dc.identifier | http://arxiv.org/abs/0901.1047 | |
| dc.identifier | Journal of Physics and Chemistry of Solids, VOL. 69, 2982-2985 (2008) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215270 | |
| dc.subject | Superconductivity | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Kinks and d-waves from phonons: The intermediate coupling story | |
| dc.type | text |