Role of vertex corrections in the matrix formulation of the random phase approximation for the multiorbital Hubbard model
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 particlehole 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. Furthermore we examine these terms and discuss the relationship between the matrixRPA superconducting pairing interaction and the Feynman diagrams that it sums.
 Authors:

^{[1]};
^{[1]};
^{[2]};
^{[3]}
;
^{[1]};
^{[4]}
 GoetheUniv. Frankfurt, Frankfurt am Main (Germany)
 Univ. of Florida, Gainesville, FL (United States)
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Univ. of California, Santa Barbara, CA (United States)
 Publication Date:
 Grant/Contract Number:
 AC0500OR22725; FG0205ER46236
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 94; Journal Issue: 21; Journal ID: ISSN 24699950
 Publisher:
 American Physical Society (APS)
 Research Org:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
 OSTI Identifier:
 1399530
 Alternate Identifier(s):
 OSTI ID: 1336968
Altmeyer, Michaela, Guterding, Daniel, Hirschfeld, P. J., Maier, Thomas A., Valenti, Roser, and Scalapino, Douglas J.. Role of vertex corrections in the matrix formulation of the random phase approximation for the multiorbital Hubbard model. United States: N. p.,
Web. doi:10.1103/PhysRevB.94.214515.
Altmeyer, Michaela, Guterding, Daniel, Hirschfeld, P. J., Maier, Thomas A., Valenti, Roser, & Scalapino, Douglas J.. Role of vertex corrections in the matrix formulation of the random phase approximation for the multiorbital Hubbard model. United States. doi:10.1103/PhysRevB.94.214515.
Altmeyer, Michaela, Guterding, Daniel, Hirschfeld, P. J., Maier, Thomas A., Valenti, Roser, and Scalapino, Douglas J.. 2016.
"Role of vertex corrections in the matrix formulation of the random phase approximation for the multiorbital Hubbard model". United States.
doi:10.1103/PhysRevB.94.214515. https://www.osti.gov/servlets/purl/1399530.
@article{osti_1399530,
title = {Role of vertex corrections in the matrix formulation of the random phase approximation for the multiorbital Hubbard model},
author = {Altmeyer, Michaela and Guterding, Daniel and Hirschfeld, P. J. and Maier, Thomas A. and Valenti, Roser and Scalapino, Douglas J.},
abstractNote = {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 particlehole 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. Furthermore we examine these terms and discuss the relationship between the matrixRPA superconducting pairing interaction and the Feynman diagrams that it sums.},
doi = {10.1103/PhysRevB.94.214515},
journal = {Physical Review B},
number = 21,
volume = 94,
place = {United States},
year = {2016},
month = {12}
}
Works referenced in this record:
Pairing symmetry in cuprate superconductors
journal, October 2000
journal, October 2000
 Tsuei, C. C.; Kirtley, J. R.
 Reviews of Modern Physics, Vol. 72, Issue 4, p. 9691016