Role of vertex corrections in the matrix formulation of the random phase approximation for the multiorbital Hubbard model
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. Furthermore we examine these terms and discuss the relationship between the matrix-RPA superconducting pairing interaction and the Feynman diagrams that it sums.
- Authors:
-
- Goethe-Univ. 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:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1399530
- Alternate Identifier(s):
- OSTI ID: 1336968
- Grant/Contract Number:
- AC05-00OR22725; FG02-05ER46236
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 94; Journal Issue: 21; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
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., 2016.
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. https://doi.org/10.1103/PhysRevB.94.214515
Altmeyer, Michaela, Guterding, Daniel, Hirschfeld, P. J., Maier, Thomas A., Valenti, Roser, and Scalapino, Douglas J. Wed .
"Role of vertex corrections in the matrix formulation of the random phase approximation for the multiorbital Hubbard model". United States. https://doi.org/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 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. Furthermore we examine these terms and discuss the relationship between the matrix-RPA 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 = {Wed Dec 21 00:00:00 EST 2016},
month = {Wed Dec 21 00:00:00 EST 2016}
}
Web of Science
Works referenced in this record:
Superconducting gap in LiFeAs from three-dimensional spin-fluctuation pairing calculations
journal, November 2013
- Wang, Y.; Kreisel, A.; Zabolotnyy, V. B.
- Physical Review B, Vol. 88, Issue 17
Functional Renormalization-Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs-Based High-Temperature Superconductor
journal, January 2009
- Wang, Fa; Zhai, Hui; Ran, Ying
- Physical Review Letters, Vol. 102, Issue 4
Strong-coupling theory of superconductivity in a degenerate Hubbard model
journal, March 2004
- Takimoto, Tetsuya; Hotta, Takashi; Ueda, Kazuo
- Physical Review B, Vol. 69, Issue 10
Organic superconductors
journal, May 2011
- Saito, Gunzi; Yoshida, Yukihiro
- The Chemical Record, Vol. 11, Issue 3
Using gap symmetry and structure to reveal the pairing mechanism in Fe-based superconductors
journal, January 2016
- Hirschfeld, Peter J.
- Comptes Rendus Physique, Vol. 17, Issue 1-2
Orbital fluctuation-induced triplet superconductivity: Mechanism of superconductivity in
journal, December 2000
- Takimoto, Tetsuya
- Physical Review B, Vol. 62, Issue 22
Pnictogen height as a possible switch between high- nodeless and low- nodal pairings in the iron-based superconductors
journal, June 2009
- Kuroki, Kazuhiko; Usui, Hidetomo; Onari, Seiichiro
- Physical Review B, Vol. 79, Issue 22
Theoretical study of correlation between spin fluctuations and in isovalent-doped 1111 iron-based superconductors
journal, April 2015
- Arai, Hayato; Usui, Hidetomo; Suzuki, Katsuhiro
- Physical Review B, Vol. 91, Issue 13
Near-degeneracy of several pairing channels in multiorbital models for the Fe pnictides
journal, February 2009
- Graser, S.; Maier, T. A.; Hirschfeld, P. J.
- New Journal of Physics, Vol. 11, Issue 2
Iron-based superconductors: Current status of materials and pairing mechanism
journal, July 2015
- Hosono, Hideo; Kuroki, Kazuhiko
- Physica C: Superconductivity and its Applications, Vol. 514
On the multi-orbital band structure and itinerant magnetism of iron-based superconductors
journal, January 2011
- Andersen, O. K.; Boeri, L.
- Annalen der Physik, Vol. 523, Issue 1-2
Unified picture of the doping dependence of superconducting transition temperatures in alkali metal/ammonia intercalated FeSe
journal, January 2015
- Guterding, Daniel; Jeschke, Harald O.; Hirschfeld, P. J.
- Physical Review B, Vol. 91, Issue 4
Relativistic Band-Structure Calculations for CeTIn 5 (T = Ir and Co) and Analysis of the Energy Bands by Using Tight-Binding Method
journal, April 2003
- Maehira, Takahiro; Hotta, Takashi; Ueda, Kazuo
- Journal of the Physical Society of Japan, Vol. 72, Issue 4
Superconductivity in Ce- and U-Based “122” Heavy-Fermion Compounds
journal, January 2012
- Stockert, Oliver; Kirchner, Stefan; Steglich, Frank
- Journal of the Physical Society of Japan, Vol. 81, Issue 1
Origin of the superconducting state in the collapsed tetragonal phase of
journal, April 2015
- Guterding, Daniel; Backes, Steffen; Jeschke, Harald O.
- Physical Review B, Vol. 91, Issue 14
Effective single-band Hubbard model for the cuprates: Coulomb interactions and apical oxygen
journal, February 1995
- Feiner, L. F.; Jefferson, J. H.; Raimondi, R.
- Physica B: Condensed Matter, Vol. 206-207
Sensitivity of the superconducting state and magnetic susceptibility to key aspects of electronic structure in ferropnictides
journal, July 2010
- Kemper, A. F.; Maier, T. A.; Graser, S.
- New Journal of Physics, Vol. 12, Issue 7
Recent Topics of Organic Superconductors
journal, January 2012
- Ardavan, Arzhang; Brown, Stuart; Kagoshima, Seiichi
- Journal of the Physical Society of Japan, Vol. 81, Issue 1
Evidence for Eight-Node Mixed-Symmetry Superconductivity in a Correlated Organic Metal
journal, June 2016
- Guterding, Daniel; Diehl, Sandra; Altmeyer, Michaela
- Physical Review Letters, Vol. 116, Issue 23
Spin-fluctuation-induced superconductivity controlled by orbital fluctuation
journal, May 2002
- Takimoto, T.; Hotta, T.; Maehira, T.
- Journal of Physics: Condensed Matter, Vol. 14, Issue 21
CONDENSED MATTER PHYSICS: Similarities Between Organic and Cuprate Superconductors
journal, October 1997
- McKenzie, R. H.
- Science, Vol. 278, Issue 5339
Model of the Electronic Structure of Electron-Doped Iron-Based Superconductors: Evidence for Enhanced Spin Fluctuations by Diagonal Electron Hopping
journal, July 2014
- Suzuki, Katsuhiro; Usui, Hidetomo; Iimura, Soshi
- Physical Review Letters, Vol. 113, Issue 2
Orbital-Controlled Superconductivity in f -Electron Systems
journal, August 2006
- Kubo, Katsunori; Hotta, Takashi
- Journal of the Physical Society of Japan, Vol. 75, Issue 8
Pairing symmetry in a two-orbital Hubbard model on a square lattice
journal, June 2007
- Kubo, Katsunori
- Physical Review B, Vol. 75, Issue 22
A common thread: The pairing interaction for unconventional superconductors
journal, October 2012
- Scalapino, D. J.
- Reviews of Modern Physics, Vol. 84, Issue 4
-wave pairing near a spin-density-wave instability
journal, December 1986
- Scalapino, D. J.; Loh, E.; Hirsch, J. E.
- Physical Review B, Vol. 34, Issue 11
Strong electronic correlations in superconducting organic charge transfer salts
journal, October 2006
- Powell, B. J.; McKenzie, Ross H.
- Journal of Physics: Condensed Matter, Vol. 18, Issue 45
Orbital-Fluctuation-Mediated Superconductivity in Iron Pnictides: Analysis of the Five-Orbital Hubbard-Holstein Model
journal, April 2010
- Kontani, Hiroshi; Onari, Seiichiro
- Physical Review Letters, Vol. 104, Issue 15
Spin fluctuations and superconductivity in K Fe Se
journal, September 2013
- Kreisel, A.; Wang, Y.; Maier, T. A.
- Physical Review B, Vol. 88, Issue 9
Near-degeneracy of extended and order parameters in quasi-two-dimensional organic superconductors
journal, July 2016
- Guterding, Daniel; Altmeyer, Michaela; Jeschke, Harald O.
- Physical Review B, Vol. 94, Issue 2
Works referencing / citing this record:
Orbital selective pairing and gap structures of iron-based superconductors
journal, May 2017
- Kreisel, Andreas; Andersen, Brian M.; Sprau, P. O.
- Physical Review B, Vol. 95, Issue 17