Revisiting superconductivity in the extended one-band Hubbard model: Pairing via spin and charge fluctuations

Roig, Mercè; Rømer, Astrid T.; Hirschfeld, P. J.; Andersen, Brian M.

doi:10.1103/physrevb.106.214530

Revisiting superconductivity in the extended one-band Hubbard model: Pairing via spin and charge fluctuations

Journal Article · Fri Dec 30 00:00:00 EST 2022 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.106.214530· OSTI ID:1991755

^[1]; Rømer, Astrid T. ^[2]; ^[3]; ^[4]

University of Copenhagen (Denmark); U. Florida
University of Copenhagen (Denmark); Danish Fundamental Metrology, Hørsholm (Denmark)
University of Florida, Gainesville, FL (United States)
University of Copenhagen (Denmark)

The leading superconducting instabilities of the two-dimensional extended repulsive one-band Hubbard model within spin-fluctuation pairing theory depend sensitively on electron density, band, and interaction parameters. We map out the phase diagrams within a random-phase-approximation spin- and charge-fluctuation approach, and find that while B_1g (d_x²–y²) and B_2g (d_xy) pairing dominates in the absence of repulsive longer-range Coulomb interactions V_NN, the latter induces pairing in other symmetry channels, including, e.g., A_2g (g-wave), nodal A_1g (extended s-wave), or nodal E_u (p-wave) spin-triplet superconductivity. At the lowest temperatures, transition boundaries in the phase diagrams between symmetry-distinct spin-singlet orders generate complex time-reversal symmetry broken superpositions. By contrast, we find that boundaries between singlet and triplet regions are characterized by first-order transitions. Finally, motivated by recent photoemission experiments, we have determined the influence of an additional explicitly attractive nearest-neighbor interaction, V_NN < 0, on the superconducting gap structure. Furthermore, depending on the electronic filling, such an attraction boosts E_u (p-wave) spin-triplet or B_1g (d_x²–y²) spin-singlet ordering.

View Accepted Manuscript (DOE)

Research Organization:: University of Florida, Gainesville, FL (United States)

Sponsoring Organization:: Independent Research Fund Denmark; Novo Nordisk Foundation; USDOE

Grant/Contract Number:: FG02-05ER46236

OSTI ID:: 1991755

Alternate ID(s):: OSTI ID: 1907196

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 21 Vol. 106; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (77)

Superconducting instability in the large-U limit of the two-dimensional Hubbard model Gros, C.; Joynt, R.; Rice, T. M. Zeitschrift f�r Physik B Condensed Matter, Vol. 68, Issue 4 https://doi.org/10.1007/BF01471072	journal	December 1987
Superconducting Phase Diagram of the Paramagnetic One-Band Hubbard Model Kreisel, Andreas; Rømer, Astrid T.; Hirschfeld, P. J. Journal of Superconductivity and Novel Magnetism, Vol. 30, Issue 1 https://doi.org/10.1007/s10948-016-3758-x	journal	September 2016
Spin-triplet pairing induced by near-neighbor attraction in the extended Hubbard model for cuprate chain Qu, Dai-Wei; Chen, Bin-Bin; Jiang, Hong-Chen Communications Physics, Vol. 5, Issue 1 https://doi.org/10.1038/s42005-022-01030-x	journal	October 2022
Exotic superconducting states in the extended attractive Hubbard model Nayak, Swagatam; Kumar, Sanjeev Journal of Physics: Condensed Matter, Vol. 30, Issue 13 https://doi.org/10.1088/1361-648X/aaaefe	journal	March 2018
Mixed temperature-dependent order parameters in the extended Hubbard model Hutchinson, Joel; Marsiglio, Frank Journal of Physics: Condensed Matter, Vol. 33, Issue 6 https://doi.org/10.1088/1361-648X/abc801	journal	November 2020
d-Wave superconductivity as a catalyst for antiferromagnetism in underdoped cuprates Schmid, Markus; Andersen, Brian M.; Kampf, Arno P. New Journal of Physics, Vol. 12, Issue 5 https://doi.org/10.1088/1367-2630/12/5/053043	journal	May 2010
Plaquette versus ordinary d -wave pairing in the t ′ -Hubbard model on a width-4 cylinder Chung, Chia-Min; Qin, Mingpu; Zhang, Shiwei Physical Review B, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevB.102.041106	journal	July 2020
Superconducting state of Sr 2 RuO 4 in the presence of longer-range Coulomb interactions Rømer, Astrid T.; Hirschfeld, P. J.; Andersen, Brian M. Physical Review B, Vol. 104, Issue 6 https://doi.org/10.1103/PhysRevB.104.064507	journal	August 2021
Supercurrents and spontaneous time-reversal symmetry breaking by nonmagnetic disorder in unconventional superconductors Breiø, Clara N.; Hirschfeld, P. J.; Andersen, Brian M. Physical Review B, Vol. 105, Issue 1 https://doi.org/10.1103/PhysRevB.105.014504	journal	January 2022
Enhancing d -wave superconductivity with nearest-neighbor attraction in the extended Hubbard model Jiang, Mi Physical Review B, Vol. 105, Issue 2 https://doi.org/10.1103/PhysRevB.105.024510	journal	January 2022
Spin-triplet superconductivity driven by finite-momentum spin fluctuations Kreisel, Andreas; Quan, Yundi; Hirschfeld, P. J. Physical Review B, Vol. 105, Issue 10 https://doi.org/10.1103/PhysRevB.105.104507	journal	March 2022
Superconductivity from repulsive interactions on the kagome lattice Rømer, Astrid T.; Bhattacharyya, Shinibali; Valentí, Roser Physical Review B, Vol. 106, Issue 17 https://doi.org/10.1103/PhysRevB.106.174514	journal	November 2022
Superconductivity in multiorbital systems with repulsive interactions: Hund's pairing versus spin-fluctuation pairing Roig, Mercè; Rømer, Astrid T.; Kreisel, Andreas Physical Review B, Vol. 106, Issue 10 https://doi.org/10.1103/PhysRevB.106.L100501	journal	September 2022
Spin-fluctuation-mediated even-parity pairing in heavy-fermion superconductors Miyake, K.; Schmitt-Rink, S.; Varma, C. M. Physical Review B, Vol. 34, Issue 9 https://doi.org/10.1103/PhysRevB.34.6554	journal	November 1986
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
Fermi-surface instabilities and superconducting d -wave pairing Scalapino, D. J.; Loh, E.; Hirsch, J. E. Physical Review B, Vol. 35, Issue 13 https://doi.org/10.1103/PhysRevB.35.6694	journal	May 1987
Superexchange mechanism and d -wave superconductivity Kotliar, Gabriel; Liu, Jialin Physical Review B, Vol. 38, Issue 7 https://doi.org/10.1103/PhysRevB.38.5142	journal	September 1988
Pairing instabilities in the two-dimensional Hubbard model Chubukov, Andrey V.; Lu, Jian Ping Physical Review B, Vol. 46, Issue 17 https://doi.org/10.1103/PhysRevB.46.11163	journal	November 1992
Superconducting instabilities of the non-half-filled Hubbard model in two dimensions Zanchi, D.; Schulz, H. J. Physical Review B, Vol. 54, Issue 13 https://doi.org/10.1103/PhysRevB.54.9509	journal	October 1996
Fluctuation-exchange theory for general lattice Hamiltonians Esirgen, Gökhan; Bickers, N. E. Physical Review B, Vol. 55, Issue 4 https://doi.org/10.1103/PhysRevB.55.2122	journal	January 1997
Fluctuation exchange analysis of superconductivity in the standard three-bandCuO2model Esirgen, Gökhan; Bickers, N. E. Physical Review B, Vol. 57, Issue 9 https://doi.org/10.1103/PhysRevB.57.5376	journal	March 1998
Phase diagram of the weak-coupling two-dimensional t − t ′ Hubbard model at low and intermediate electron density Hlubina, Richard Physical Review B, Vol. 59, Issue 14 https://doi.org/10.1103/PhysRevB.59.9600	journal	April 1999
Antiferromagnetism and d -wave superconductivity in cuprates: A cluster dynamical mean-field theory Lichtenstein, A. I.; Katsnelson, M. I. Physical Review B, Vol. 62, Issue 14 https://doi.org/10.1103/PhysRevB.62.R9283	journal	October 2000
Local magnetic moments around a nonmagnetic impurity in the two-dimensional t-J model Tsuchiura, Hiroki; Tanaka, Yukio; Ogata, Masao Physical Review B, Vol. 64, Issue 14 https://doi.org/10.1103/PhysRevB.64.140501	journal	September 2001
Superconductivity in electron-doped cuprates: Gap shape change and symmetry crossover with doping Guinea, Francisco; Markiewicz, Robert S.; Vozmediano, María A. H. Physical Review B, Vol. 69, Issue 5 https://doi.org/10.1103/PhysRevB.69.054509	journal	February 2004
Phase diagram of the two-dimensional extended Hubbard model: Phase transitions between different pairing symmetries when charge and spin fluctuations coexist Onari, Seiichiro; Arita, Ryotaro; Kuroki, Kazuhiko Physical Review B, Vol. 70, Issue 9 https://doi.org/10.1103/PhysRevB.70.094523	journal	September 2004
Antiferromagnetic correlations and impurity broadening of NMR linewidths in cuprate superconductors Harter, J. W.; Andersen, B. M.; Bobroff, J. Physical Review B, Vol. 75, Issue 5 https://doi.org/10.1103/PhysRevB.75.054520	journal	February 2007
Anomalous superconductivity and its competition with antiferromagnetism in doped Mott insulators Kancharla, S. S.; Kyung, B.; Sénéchal, D. Physical Review B, Vol. 77, Issue 18 https://doi.org/10.1103/PhysRevB.77.184516	journal	May 2008
Superconductivity in the repulsive Hubbard model: An asymptotically exact weak-coupling solution Raghu, S.; Kivelson, S. A.; Scalapino, D. J. Physical Review B, Vol. 81, Issue 22 https://doi.org/10.1103/PhysRevB.81.224505	journal	June 2010
Effects of longer-range interactions on unconventional superconductivity Raghu, S.; Berg, E.; Chubukov, A. V. Physical Review B, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevB.85.024516	journal	January 2012
Resilience of d -wave superconductivity to nearest-neighbor repulsion Sénéchal, D.; Day, A. G. R.; Bouliane, V. Physical Review B, Vol. 87, Issue 7 https://doi.org/10.1103/PhysRevB.87.075123	journal	February 2013
Unconventional superconducting phases for the two-dimensional extended Hubbard model on a square lattice Huang, Wen-Min; Lai, Chen-Yen; Shi, Chuntai Physical Review B, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevB.88.054504	journal	August 2013
Impurity states and cooperative magnetic order in Fe-based superconductors Gastiasoro, Maria N.; Hirschfeld, P. J.; Andersen, Brian M. Physical Review B, Vol. 88, Issue 22 https://doi.org/10.1103/PhysRevB.88.220509	journal	December 2013
Two-particle correlations in a dynamic cluster approximation with continuous momentum dependence: Superconductivity in the two-dimensional Hubbard model Staar, Peter; Maier, Thomas; Schulthess, Thomas C. Physical Review B, Vol. 89, Issue 19 https://doi.org/10.1103/PhysRevB.89.195133	journal	May 2014
Spontaneous currents in a superconductor with s + i s symmetry Maiti, Saurabh; Sigrist, Manfred; Chubukov, Andrey Physical Review B, Vol. 91, Issue 16 https://doi.org/10.1103/PhysRevB.91.161102	journal	April 2015
Fidelity study of superconductivity in extended Hubbard models Plonka, N.; Jia, C. J.; Wang, Y. Physical Review B, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevB.92.024503	journal	July 2015
Pairing symmetry of the one-band Hubbard model in the paramagnetic weak-coupling limit: A numerical RPA study Rømer, A. T.; Kreisel, A.; Eremin, I. Physical Review B, Vol. 92, Issue 10 https://doi.org/10.1103/PhysRevB.92.104505	journal	September 2015
Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory Zheng, Bo-Xiao; Chan, Garnet Kin-Lic Physical Review B, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevB.93.035126	journal	January 2016
Superconducting phase diagram of itinerant antiferromagnets Rømer, A. T.; Eremin, I.; Hirschfeld, P. J. Physical Review B, Vol. 93, Issue 17 https://doi.org/10.1103/PhysRevB.93.174519	journal	May 2016
Distinguishing between s + i d and s + i s pairing symmetries in multiband superconductors through spontaneous magnetization pattern induced by a defect Lin, Shi-Zeng; Maiti, Saurabh; Chubukov, Andrey Physical Review B, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevB.94.064519	journal	August 2016
Ground-state phase diagram of the repulsive fermionic t − t ′ Hubbard model on the square lattice from weak coupling Šimkovic, Fedor; Liu, Xuan-Wen; Deng, Youjin Physical Review B, Vol. 94, Issue 8 https://doi.org/10.1103/PhysRevB.94.085106	journal	August 2016
Antagonistic effects of nearest-neighbor repulsion on the superconducting pairing dynamics in the doped Mott insulator regime Reymbaut, A.; Charlebois, M.; Asiani, M. Fellous Physical Review B, Vol. 94, Issue 15 https://doi.org/10.1103/PhysRevB.94.155146	journal	October 2016
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. Physical Review B, Vol. 94, Issue 21 https://doi.org/10.1103/PhysRevB.94.214515	journal	December 2016
d -wave superconductivity in the presence of nearest-neighbor Coulomb repulsion Jiang, M.; Hähner, U. R.; Schulthess, T. C. Physical Review B, Vol. 97, Issue 18 https://doi.org/10.1103/PhysRevB.97.184507	journal	May 2018
Ab initio effective Hamiltonians for cuprate superconductors Hirayama, Motoaki; Yamaji, Youhei; Misawa, Takahiro Physical Review B, Vol. 98, Issue 13 https://doi.org/10.1103/PhysRevB.98.134501	journal	October 2018
Superconductivity in the doped t − J model: Results for four-leg cylinders Jiang, Hong-Chen; Weng, Zheng-Yu; Kivelson, Steven A. Physical Review B, Vol. 98, Issue 14 https://doi.org/10.1103/PhysRevB.98.140505	journal	October 2018
Unconventional superconductivity in the extended Hubbard model: Weak-coupling renormalization group Wolf, Sebastian; Schmidt, Thomas L.; Rachel, Stephan Physical Review B, Vol. 98, Issue 17 https://doi.org/10.1103/PhysRevB.98.174515	journal	November 2018
Theoretical study of impurity-induced magnetism in FeSe Martiny, Johannes H. J.; Kreisel, Andreas; Andersen, Brian M. Physical Review B, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevB.99.014509	journal	January 2019
Pairing State with a Time-Reversal Symmetry Breaking in FeAs-Based Superconductors Lee, Wei-Cheng; Zhang, Shou-Cheng; Wu, Congjun Physical Review Letters, Vol. 102, Issue 21 https://doi.org/10.1103/PhysRevLett.102.217002	journal	May 2009
Disorder-Induced Freezing of Dynamical Spin Fluctuations in Underdoped Cuprate Superconductors Andersen, Brian M.; Graser, Siegfried; Hirschfeld, P. J. Physical Review Letters, Vol. 105, Issue 14 https://doi.org/10.1103/PhysRevLett.105.147002	journal	September 2010
Superconductivity and the Pseudogap in the Two-Dimensional Hubbard Model Gull, Emanuel; Parcollet, Olivier; Millis, Andrew J. Physical Review Letters, Vol. 110, Issue 21 https://doi.org/10.1103/PhysRevLett.110.216405	journal	May 2013
Competing States in the t - J Model: Uniform d -Wave State versus Stripe State Corboz, Philippe; Rice, T. M.; Troyer, Matthias Physical Review Letters, Vol. 113, Issue 4 https://doi.org/10.1103/PhysRevLett.113.046402	journal	July 2014
Superconducting Fluctuations in the Normal State of the Two-Dimensional Hubbard Model Chen, Xi; LeBlanc, J. P. F.; Gull, Emanuel Physical Review Letters, Vol. 115, Issue 11 https://doi.org/10.1103/PhysRevLett.115.116402	journal	September 2015
Unconventional Disorder Effects in Correlated Superconductors Gastiasoro, Maria N.; Bernardini, Fabio; Andersen, Brian M. Physical Review Letters, Vol. 117, Issue 25 https://doi.org/10.1103/PhysRevLett.117.257002	journal	December 2016
Knight Shift and Leading Superconducting Instability from Spin Fluctuations in Sr 2 RuO 4 Rømer, A. T.; Scherer, D. D.; Eremin, I. M. Physical Review Letters, Vol. 123, Issue 24 https://doi.org/10.1103/PhysRevLett.123.247001	journal	December 2019
Robust d -Wave Superconductivity in the Square-Lattice t − J Model Gong, Shoushu; Zhu, W.; Sheng, D. N. Physical Review Letters, Vol. 127, Issue 9 https://doi.org/10.1103/PhysRevLett.127.097003	journal	August 2021
Phonon-Mediated Long-Range Attractive Interaction in One-Dimensional Cuprates Wang, Yao; Chen, Zhuoyu; Shi, Tao Physical Review Letters, Vol. 127, Issue 19 https://doi.org/10.1103/PhysRevLett.127.197003	journal	November 2021
New Mechanism for Superconductivity Kohn, W.; Luttinger, J. M. Physical Review Letters, Vol. 15, Issue 12 https://doi.org/10.1103/PhysRevLett.15.524	journal	September 1965
d -Wave Superconductivity in the Hubbard Model Maier, Th.; Jarrell, M.; Pruschke, Th. Physical Review Letters, Vol. 85, Issue 7 https://doi.org/10.1103/PhysRevLett.85.1524	journal	August 2000
d -Wave Superconductivity and Pomeranchuk Instability in the Two-Dimensional Hubbard Model Halboth, Christoph J.; Metzner, Walter Physical Review Letters, Vol. 85, Issue 24 https://doi.org/10.1103/PhysRevLett.85.5162	journal	December 2000
Magnetic and Superconducting Instabilities of the Hubbard Model at the Van Hove Filling Honerkamp, Carsten; Salmhofer, Manfred Physical Review Letters, Vol. 87, Issue 18 https://doi.org/10.1103/PhysRevLett.87.187004	journal	October 2001
Spin and Charge Order around Vortices and Impurities in High- T c Superconductors Zhu, Jian-Xin; Martin, Ivar; Bishop, A. R. Physical Review Letters, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevLett.89.067003	journal	July 2002
Local Moment Formation in the Superconducting State of a Doped Mott Insulator Wang, Ziqiang; Lee, Patrick A. Physical Review Letters, Vol. 89, Issue 21 https://doi.org/10.1103/PhysRevLett.89.217002	journal	November 2002
Increasing d -Wave Superconductivity by On-Site Repulsion Plekhanov, E.; Sorella, S.; Fabrizio, M. Physical Review Letters, Vol. 90, Issue 18 https://doi.org/10.1103/PhysRevLett.90.187004	journal	May 2003
States of Local Moment Induced by Nonmagnetic Impurities in Cuprate Superconductors Chen, Yan; Ting, C. S. Physical Review Letters, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevLett.92.077203	journal	February 2004
Competition between Antiferromagnetism and Superconductivity in High- T c Cuprates Sénéchal, David; Lavertu, P. -L.; Marois, M. -A. Physical Review Letters, Vol. 94, Issue 15 https://doi.org/10.1103/PhysRevLett.94.156404	journal	April 2005
Disorder-Induced Static Antiferromagnetism in Cuprate Superconductors Andersen, Brian M.; Hirschfeld, P. J.; Kampf, Arno P. Physical Review Letters, Vol. 99, Issue 14 https://doi.org/10.1103/PhysRevLett.99.147002	journal	October 2007
Pairing in the two-dimensional Hubbard model from weak to strong coupling Rømer, Astrid T.; Maier, Thomas A.; Kreisel, Andreas Physical Review Research, Vol. 2, Issue 1 https://doi.org/10.1103/PhysRevResearch.2.013108	journal	January 2020
Impurity-induced magnetic ordering in Sr2RuO4 Zinkl, Bastian; Sigrist, Manfred Physical Review Research, Vol. 3, Issue 2 https://doi.org/10.1103/PhysRevResearch.3.023067	journal	April 2021
Leading superconducting instabilities in three-dimensional models for Sr2RuO4 Rømer, Astrid T.; Maier, T. A.; Kreisel, Andreas Physical Review Research, Vol. 4, Issue 3 https://doi.org/10.1103/PhysRevResearch.4.033011	journal	July 2022
Absence of Superconductivity in the Pure Two-Dimensional Hubbard Model Qin, Mingpu; Chung, Chia-Min; Shi, Hao Physical Review X, Vol. 10, Issue 3 https://doi.org/10.1103/PhysRevX.10.031016	journal	July 2020
Superconductivity in narrow-band systems with local nonretarded attractive interactions Micnas, R.; Ranninger, J.; Robaszkiewicz, S. Reviews of Modern Physics, Vol. 62, Issue 1 https://doi.org/10.1103/RevModPhys.62.113	journal	January 1990
Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t ′ Jiang, Hong-Chen; Devereaux, Thomas P. Science, Vol. 365, Issue 6460 https://doi.org/10.1126/science.aal5304	journal	September 2019
Anomalously strong near-neighbor attraction in doped 1D cuprate chains Chen, Zhuoyu; Wang, Yao; Rebec, Slavko N. Science, Vol. 373, Issue 6560 https://doi.org/10.1126/science.abf5174	journal	September 2021
Superconductivity and Spin Density Wave in Two Dimensional Hubbard Model Shimahara, Hiroshi; Takada, Satoshi Journal of the Physical Society of Japan, Vol. 57, Issue 3 https://doi.org/10.1143/JPSJ.57.1044	journal	March 1988
Spin-Triplet Superconductivity Induced by Charge Fluctuations in Extended Hubbard Model Onari, Seiichiro; Arita, Ryotaro; Kuroki, Kazuhiko Journal of the Physical Society of Japan, Vol. 74, Issue 9 https://doi.org/10.1143/JPSJ.74.2579	journal	September 2005
Emergent BCS regime of the two-dimensional fermionic Hubbard model: Ground-state phase diagram Deng, Youjin; Kozik, Evgeny; Prokof'ev, Nikolay V. EPL (Europhysics Letters), Vol. 110, Issue 5 https://doi.org/10.1209/0295-5075/110/57001	journal	June 2015

Figures / Tables (6)

Similar Records

Superconducting classes in the extended Hubbard model

Journal Article · Thu May 30 00:00:00 EDT 1996 · International Journal of Modern Physics B · OSTI ID:413346

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Hubbard model
Impurities in superconductors
Pairing mechanisms
Superconducting order parameter
Superconducting phase transition
Superconductivity

Revisiting superconductivity in the extended one-band Hubbard model: Pairing via spin and charge fluctuations

Citation Formats

References (77)

Figures / Tables (6)

Similar Records

Related Subjects