Abstract
In the framework of a multiorbital Hubbard model description of superconductivity, a matrix formulation of the superconducting pairing interaction that has been widely used is designed to treat spin, charge, and orbital fluctuations within a random phase approximation (RPA). In terms of Feynman diagrams, this takes into account particle-hole ladder and bubble contributions as expected. It turns out, however, that this matrix formulation also generates additional terms which have the diagrammatic structure of vertex corrections. Here we examine these terms and discuss the relationship between the matrix-RPA superconducting pairing interaction and the Feynman diagrams that it sums.
| Original language | English |
|---|---|
| Article number | 214515 |
| Journal | Physical Review B |
| Volume | 94 |
| Issue number | 21 |
| DOIs | |
| State | Published - Dec 21 2016 |
Funding
M.A., D.G., and R.V. thank the German Research Foundation (Deutsche Forschungsgemeinschaft) for support through Grants No. SFB/TR49 and No. SPP1458. P.J.H. acknowledges support through Department of Energy Grant No. DE-FG02-05ER46236. T.A.M. and D.J.S. acknowledge support through the Center for Nanophase Materials Science at ORNL, which is sponsored by the Division of Scientific User Facilities, U.S. DOE. M.A. and R.V. further acknowledge partial support by the Kavli Institute for Theoretical Physics at the University of California, Santa Barbara, under Grant No. NSF PHY-1125915.