Role of vertex corrections in the matrix formulation of the random phase approximation for the multiorbital Hubbard model

Altmeyer, Michaela; Guterding, Daniel; Hirschfeld, P. J.; Maier, Thomas A.; Valenti, Roser; Scalapino, Douglas J.

doi:10.1103/PhysRevB.94.214515

Title: Role of vertex corrections in the matrix formulation of the random phase approximation for the multiorbital Hubbard model

Journal Article · Wed Dec 21 00:00:00 EST 2016 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.94.214515· OSTI ID:1399530

Altmeyer, Michaela ^[1]; Guterding, Daniel ^[1]; Hirschfeld, P. J. ^[2];

^[3]; Valenti, Roser ^[1]; Scalapino, Douglas J. ^[4]

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)

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.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC05-00OR22725; FG02-05ER46236

OSTI ID:: 1399530

Alternate ID(s):: OSTI ID: 1336968

Journal Information:: Physical Review B, Vol. 94, Issue 21; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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References (30)

Superconducting gap in LiFeAs from three-dimensional spin-fluctuation pairing calculations Wang, Y.; Kreisel, A.; Zabolotnyy, V. B. Physical Review B, Vol. 88, Issue 17 https://doi.org/10.1103/PhysRevB.88.174516	journal	November 2013
Functional Renormalization-Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs-Based High-Temperature Superconductor Wang, Fa; Zhai, Hui; Ran, Ying Physical Review Letters, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevLett.102.047005	journal	January 2009
Strong-coupling theory of superconductivity in a degenerate Hubbard model Takimoto, Tetsuya; Hotta, Takashi; Ueda, Kazuo Physical Review B, Vol. 69, Issue 10 https://doi.org/10.1103/PhysRevB.69.104504	journal	March 2004
Organic superconductors Saito, Gunzi; Yoshida, Yukihiro The Chemical Record, Vol. 11, Issue 3 https://doi.org/10.1002/tcr.201000039	journal	May 2011
Using gap symmetry and structure to reveal the pairing mechanism in Fe-based superconductors Hirschfeld, Peter J. Comptes Rendus Physique, Vol. 17, Issue 1-2 https://doi.org/10.1016/j.crhy.2015.10.002	journal	January 2016
Orbital fluctuation-induced triplet superconductivity: Mechanism of superconductivity in ${Sr}_{2} {RuO}_{4}$ Takimoto, Tetsuya Physical Review B, Vol. 62, Issue 22 https://doi.org/10.1103/PhysRevB.62.R14641	journal	December 2000
Pnictogen height as a possible switch between high- $T_{c}$ nodeless and low- $T_{c}$ nodal pairings in the iron-based superconductors Kuroki, Kazuhiko; Usui, Hidetomo; Onari, Seiichiro Physical Review B, Vol. 79, Issue 22 https://doi.org/10.1103/PhysRevB.79.224511	journal	June 2009
Theoretical study of correlation between spin fluctuations and $T_{c}$ in isovalent-doped 1111 iron-based superconductors Arai, Hayato; Usui, Hidetomo; Suzuki, Katsuhiro Physical Review B, Vol. 91, Issue 13 https://doi.org/10.1103/PhysRevB.91.134511	journal	April 2015
Near-degeneracy of several pairing channels in multiorbital models for the Fe pnictides Graser, S.; Maier, T. A.; Hirschfeld, P. J. New Journal of Physics, Vol. 11, Issue 2 https://doi.org/10.1088/1367-2630/11/2/025016	journal	February 2009
Iron-based superconductors: Current status of materials and pairing mechanism Hosono, Hideo; Kuroki, Kazuhiko Physica C: Superconductivity and its Applications, Vol. 514 https://doi.org/10.1016/j.physc.2015.02.020	journal	July 2015
On the multi-orbital band structure and itinerant magnetism of iron-based superconductors Andersen, O. K.; Boeri, L. Annalen der Physik, Vol. 523, Issue 1-2 https://doi.org/10.1002/andp.201000149	journal	January 2011
Unified picture of the doping dependence of superconducting transition temperatures in alkali metal/ammonia intercalated FeSe Guterding, Daniel; Jeschke, Harald O.; Hirschfeld, P. J. Physical Review B, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevB.91.041112	journal	January 2015
Relativistic Band-Structure Calculations for CeTIn ₅ (T = Ir and Co) and Analysis of the Energy Bands by Using Tight-Binding Method Maehira, Takahiro; Hotta, Takashi; Ueda, Kazuo Journal of the Physical Society of Japan, Vol. 72, Issue 4 https://doi.org/10.1143/JPSJ.72.854	journal	April 2003
Superconductivity in Ce- and U-Based “122” Heavy-Fermion Compounds Stockert, Oliver; Kirchner, Stefan; Steglich, Frank Journal of the Physical Society of Japan, Vol. 81, Issue 1 https://doi.org/10.1143/JPSJ.81.011001	journal	January 2012
Origin of the superconducting state in the collapsed tetragonal phase of ${KFe}_{2} {As}_{2}$ Guterding, Daniel; Backes, Steffen; Jeschke, Harald O. Physical Review B, Vol. 91, Issue 14 https://doi.org/10.1103/PhysRevB.91.140503	journal	April 2015
Effective single-band Hubbard model for the cuprates: Coulomb interactions and apical oxygen Feiner, L. F.; Jefferson, J. H.; Raimondi, R. Physica B: Condensed Matter, Vol. 206-207 https://doi.org/10.1016/0921-4526(94)00552-7	journal	February 1995
Sensitivity of the superconducting state and magnetic susceptibility to key aspects of electronic structure in ferropnictides Kemper, A. F.; Maier, T. A.; Graser, S. New Journal of Physics, Vol. 12, Issue 7 https://doi.org/10.1088/1367-2630/12/7/073030	journal	July 2010
Recent Topics of Organic Superconductors Ardavan, Arzhang; Brown, Stuart; Kagoshima, Seiichi Journal of the Physical Society of Japan, Vol. 81, Issue 1 https://doi.org/10.1143/JPSJ.81.011004	journal	January 2012
Evidence for Eight-Node Mixed-Symmetry Superconductivity in a Correlated Organic Metal Guterding, Daniel; Diehl, Sandra; Altmeyer, Michaela Physical Review Letters, Vol. 116, Issue 23 https://doi.org/10.1103/PhysRevLett.116.237001	journal	June 2016
Spin-fluctuation-induced superconductivity controlled by orbital fluctuation Takimoto, T.; Hotta, T.; Maehira, T. Journal of Physics: Condensed Matter, Vol. 14, Issue 21 https://doi.org/10.1088/0953-8984/14/21/101	journal	May 2002
CONDENSED MATTER PHYSICS: Similarities Between Organic and Cuprate Superconductors McKenzie, R. H. Science, Vol. 278, Issue 5339 https://doi.org/10.1126/science.278.5339.820	journal	October 1997
Model of the Electronic Structure of Electron-Doped Iron-Based Superconductors: Evidence for Enhanced Spin Fluctuations by Diagonal Electron Hopping Suzuki, Katsuhiro; Usui, Hidetomo; Iimura, Soshi Physical Review Letters, Vol. 113, Issue 2 https://doi.org/10.1103/PhysRevLett.113.027002	journal	July 2014
Orbital-Controlled Superconductivity in f -Electron Systems Kubo, Katsunori; Hotta, Takashi Journal of the Physical Society of Japan, Vol. 75, Issue 8 https://doi.org/10.1143/JPSJ.75.083702	journal	August 2006
Pairing symmetry in a two-orbital Hubbard model on a square lattice Kubo, Katsunori Physical Review B, Vol. 75, Issue 22 https://doi.org/10.1103/PhysRevB.75.224509	journal	June 2007
A common thread: The pairing interaction for unconventional superconductors Scalapino, D. J. Reviews of Modern Physics, Vol. 84, Issue 4 https://doi.org/10.1103/RevModPhys.84.1383	journal	October 2012
$d$ -wave pairing near a spin-density-wave instability Scalapino, D. J.; Loh, E.; Hirsch, J. E. Physical Review B, Vol. 34, Issue 11 https://doi.org/10.1103/PhysRevB.34.8190	journal	December 1986
Strong electronic correlations in superconducting organic charge transfer salts Powell, B. J.; McKenzie, Ross H. Journal of Physics: Condensed Matter, Vol. 18, Issue 45 https://doi.org/10.1088/0953-8984/18/45/R03	journal	October 2006
Orbital-Fluctuation-Mediated Superconductivity in Iron Pnictides: Analysis of the Five-Orbital Hubbard-Holstein Model Kontani, Hiroshi; Onari, Seiichiro Physical Review Letters, Vol. 104, Issue 15 https://doi.org/10.1103/PhysRevLett.104.157001	journal	April 2010
Spin fluctuations and superconductivity in K $_{x}$ Fe $_{2 - y}$ Se $_{2}$ Kreisel, A.; Wang, Y.; Maier, T. A. Physical Review B, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevB.88.094522	journal	September 2013
Near-degeneracy of extended $s + d_{x^{2} - y^{2}}$ and $d_{x y}$ order parameters in quasi-two-dimensional organic superconductors Guterding, Daniel; Altmeyer, Michaela; Jeschke, Harald O. Physical Review B, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevB.94.024515	journal	July 2016

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