A Vertex Correction in the Gap Equation for the High Temperature Superconductors

Details A Vertex Correction in the Gap Equation for the High Temperature Superconductors A Vertex Correction in the Gap Equation for the High Temperature Superconductors

1998-07-29

arxiv.org/abs/cond-mat/9807378v2

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 2 figures

Scientific paper

10.1103/PhysRevB.60.7458

We show that the Migdal theorem is obviously violated in the high Tc cuprates and the vertex correction should be included, in particular, in the gap equation, in order to be consistent with the anomalously strong inelastic scattering in the ``hot spots'', which is observed from the various normal state experiments. The vertex correction is obtained by utilizing the generalized Ward identity, which is shown to hold in the important scattering channel for the pairing interaction in the high Tc cuprates. As a result, we find a strong enhancement of Tc from the vertex correction despite of the strong pair breaking effect due to the inelastic scattering.

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