Beyond-Hubbard Pairing in a Cuprate Ladder

Padma, Hari; Thomas, Jinu; TenHuisen, Sophia F. R.; He, Wei; Guan, Ziqiang; Li, Jiemin; Lee, Byungjune; Wang, Yu; Lee, Seng Huat; Mao, Zhiqiang; Jang, Hoyoung; Bisogni, Valentina; Pelliciari, Jonathan; Dean, Mark P. M.; Johnston, Steven; Mitrano, Matteo

doi:10.1103/physrevx.15.021049

Beyond-Hubbard Pairing in a Cuprate Ladder

Journal Article · Mon May 12 00:00:00 EDT 2025 · Physical Review. X

DOI:https://doi.org/10.1103/physrevx.15.021049· OSTI ID:2565499

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Harvard Univ., Cambridge, MA (United States)
Univ. of Tennessee, Knoxville, TN (United States)
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of); Max Planck POSTECH/Korea Research Initiative, Pohang (Korea, Republic of)
Pennsylvania State Univ., University Park, PA (United States)
Pohang Accelerator Lab. (PAL) (Korea, Republic of)

The Hubbard model is believed to capture the essential physics of cuprate superconductors. However, recent theoretical studies suggest that it fails to reproduce a robust and homogeneous superconducting ground state. Here, using resonant inelastic x-ray scattering and density matrix renormalization group calculations, we show that magnetic excitations in the prototypical cuprate ladder Sr₁₄⁢Cu₂₄⁢O₄₁ are inconsistent with those of a simple Hubbard model. The magnetic response of hole carriers, contributing to an emergent branch of spin-flip excitations, is strongly suppressed. This effect is the consequence of strong 𝑑-wavelike pairing, enhanced by nearly an order of magnitude through a large nearest-neighbor attractive interaction and persisting up to at least 260 K. The close connection between the physics of cuprate ladders and that of the two-dimensional compounds suggests that such an enhanced hole pairing may be a universal feature of superconducting cuprates.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States). National Synchrotron Light Source II (NSLS-II)

Sponsoring Organization:: Korea government (MSIT); National Research Foundation of Korea (MSIT); National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)

Grant/Contract Number:: SC0012704; SC0022311; SC0022883

OSTI ID:: 2565499

Alternate ID(s):: OSTI ID: 2570110

Report Number(s):: BNL--228307-2025-JAAM

Journal Information:: Physical Review. X, Journal Name: Physical Review. X Journal Issue: 2 Vol. 15; ISSN 2160-3308

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (57)

The density matrix renormalization group for strongly correlated electron systems: A generic implementation Alvarez, G. Computer Physics Communications, Vol. 180, Issue 9 https://doi.org/10.1016/j.cpc.2009.02.016	journal	September 2009
EDRIXS: An open source toolkit for simulating spectra of resonant inelastic x-ray scattering Wang, Y. L.; Fabbris, G.; Dean, M. P. M. Computer Physics Communications, Vol. 243 https://doi.org/10.1016/j.cpc.2019.04.018	journal	October 2019
Crystal growth and characterization of two-leg spin ladder compounds: Sr14Cu24O41 and Sr2Ca12Cu24O41 Vanishri, S.; Marin, C.; Bhat, H. L. Journal of Crystal Growth, Vol. 311, Issue 15 https://doi.org/10.1016/j.jcrysgro.2009.06.043	journal	July 2009
Structural aspects of the spin-ladder compound Sr14Cu24O41 Etrillard, J.; Braden, M.; Gukasov, A. Physica C: Superconductivity, Vol. 403, Issue 4 https://doi.org/10.1016/j.physc.2004.01.003	journal	April 2004
The spin-ladder and spin-chain system (La,Y,Sr,Ca)14Cu24O41: Electronic phases, charge and spin dynamics Vuletic, T.; Korinhamzic, B.; Ivek, T. Physics Reports, Vol. 428, Issue 4 https://doi.org/10.1016/j.physrep.2006.01.005	journal	May 2006
Evidence for ubiquitous strong electron–phonon coupling in high-temperature superconductors Lanzara, A.; Bogdanov, P. V.; Zhou, X. J. Nature, Vol. 412, Issue 6846 https://doi.org/10.1038/35087518	journal	August 2001
Quantum magnetic excitations from stripes in copper oxide superconductors Tranquada, J. M.; Woo, H.; Perring, T. G. Nature, Vol. 429, Issue 6991 https://doi.org/10.1038/nature02574	journal	June 2004
Crystallization of charge holes in the spin ladder of Sr14Cu24O41 Abbamonte, P.; Blumberg, G.; Rusydi, A. Nature, Vol. 431, Issue 7012 https://doi.org/10.1038/nature02925	journal	October 2004
Spin–orbital separation in the quasi-one-dimensional Mott insulator Sr2CuO3 Schlappa, J.; Wohlfeld, K.; Zhou, K. J. Nature, Vol. 485, Issue 7396 https://doi.org/10.1038/nature10974	journal	April 2012
Stripe order from the perspective of the Hubbard model Huang, Edwin W.; Mendl, Christian B.; Jiang, Hong-Chen npj Quantum Materials, Vol. 3, Issue 1 https://doi.org/10.1038/s41535-018-0097-0	journal	April 2018
Crossover of high-energy spin fluctuations from collective triplons to localized magnetic excitations in Sr14−xCaxCu24O41 ladders Tseng, Y.; Thomas, J.; Zhang, W. npj Quantum Materials, Vol. 7, Issue 1 https://doi.org/10.1038/s41535-022-00502-1	journal	September 2022
Quantifying the role of antiferromagnetic fluctuations in the superconductivity of the doped Hubbard model Dong, Xinyang; Gull, Emanuel; Millis, Andrew J. Nature Physics, Vol. 18, Issue 11 https://doi.org/10.1038/s41567-022-01710-z	journal	August 2022
Signatures of two gaps in the spin susceptibility of a cuprate superconductor Zhou, Rui; Vinograd, Igor; Hirata, Michihiro Nature Physics, Vol. 21, Issue 1 https://doi.org/10.1038/s41567-024-02692-w	journal	December 2024
Particle-hole asymmetry in the dynamical spin and charge responses of corner-shared 1D cuprates Li, Shaozhi; Nocera, Alberto; Kumar, Umesh Communications Physics, Vol. 4, Issue 1 https://doi.org/10.1038/s42005-021-00718-w	journal	September 2021
The Jahn-Teller effect and magnetism: transition metal compounds Kugel', Kliment I.; Khomskiĭ, D. I. Soviet Physics Uspekhi, Vol. 25, Issue 4 https://doi.org/10.1070/PU1982v025n04ABEH004537	journal	April 1982
Stripe order enhanced superconductivity in the Hubbard model Jiang, Hong-Chen; Kivelson, Steven A. Proceedings of the National Academy of Sciences, Vol. 119, Issue 1 https://doi.org/10.1073/pnas.2109406119	journal	December 2021
Cuprate superconductors as viewed through a striped lens Tranquada, J. M. Advances in Physics, Vol. 69, Issue 4 https://doi.org/10.1080/00018732.2021.1935698	journal	October 2020
Experiments on ladders reveal a complex interplay between a spin-gapped normal state and superconductivity Dagotto, Elbio Reports on Progress in Physics, Vol. 62, Issue 11 https://doi.org/10.1088/0034-4885/62/11/202	journal	November 1999
Analogies of phonon anomalies and electronic gap features in the infrared response of Sr 14−x Ca_xCu₂₄O₄₁ and underdoped YBa₂Cu₃O 6+x Adamus, Petr; Xu, Bing; Marsik, Premysl Reports on Progress in Physics, Vol. 86, Issue 4 https://doi.org/10.1088/1361-6633/acbe4f	journal	March 2023
Energy and symmetry of dd excitations in undoped layered cuprates measured by Cu L ₃ resonant inelastic x-ray scattering Moretti Sala, M.; Bisogni, V.; Aruta, C. New Journal of Physics, Vol. 13, Issue 4 https://doi.org/10.1088/1367-2630/13/4/043026	journal	April 2011
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
Enhancement of 𝑑-wave pairing in the striped phase with nearest neighbor attraction Zhang, Lufeng; Guo, Ting; Mou, Yingping Physical Review B, Vol. 105, Issue 15 https://doi.org/10.1103/PhysRevB.105.155154	journal	April 2022
Enhanced superconductivity by near-neighbor attraction in the doped extended Hubbard model Peng, Cheng; Wang, Yao; Wen, Jiajia Physical Review B, Vol. 107, Issue 20 https://doi.org/10.1103/PhysRevB.107.L201102	journal	May 2023
Robust superconducting correlation against intersite interactions in the extended two-leg Hubbard ladder Zhou, Zongsheng; Ye, Weinan; Luo, Hong-Gang Physical Review B, Vol. 108, Issue 19 https://doi.org/10.1103/PhysRevB.108.195136	journal	November 2023
Numerical study of the two-dimensional Hubbard model White, S. R.; Scalapino, D. J.; Sugar, R. L. Physical Review B, Vol. 40, Issue 1 https://doi.org/10.1103/PhysRevB.40.506	journal	July 1989
Superconductivity in ladders and coupled planes Dagotto, E.; Riera, J.; Scalapino, D. Physical Review B, Vol. 45, Issue 10 https://doi.org/10.1103/PhysRevB.45.5744	journal	March 1992
Density-matrix algorithms for quantum renormalization groups White, Steven R. Physical Review B, Vol. 48, Issue 14 https://doi.org/10.1103/PhysRevB.48.10345	journal	October 1993
Properties of lightly doped t - J two-leg ladders Troyer, Matthias; Tsunetsugu, Hirokazu; Rice, T. M. Physical Review B, Vol. 53, Issue 1 https://doi.org/10.1103/PhysRevB.53.251	journal	January 1996
Hole distribution in ( Sr , Ca , Y , La ) 14 Cu 24 O 41 ladder compounds studied by x-ray absorption spectroscopy Nücker, N.; Merz, M.; Kuntscher, C. A. Physical Review B, Vol. 62, Issue 21 https://doi.org/10.1103/PhysRevB.62.14384	journal	December 2000
Mechanism of high-temperature superconductivity in a striped Hubbard model Arrigoni, E.; Fradkin, E.; Kivelson, S. A. Physical Review B, Vol. 69, Issue 21 https://doi.org/10.1103/PhysRevB.69.214519	journal	June 2004
Systematic study of electron-phonon coupling to oxygen modes across the cuprates Johnston, S.; Vernay, F.; Moritz, B. Physical Review B, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevB.82.064513	journal	August 2010
Momentum-space anisotropy and pseudogaps: A comparative cluster dynamical mean-field analysis of the doping-driven metal-insulator transition in the two-dimensional Hubbard model Gull, E.; Ferrero, M.; Parcollet, O. Physical Review B, Vol. 82, Issue 15 https://doi.org/10.1103/PhysRevB.82.155101	journal	October 2010
Microscopic origin of spin-orbital separation in Sr 2 CuO 3 Wohlfeld, Krzysztof; Nishimoto, Satoshi; Haverkort, Maurits W. Physical Review B, Vol. 88, Issue 19 https://doi.org/10.1103/PhysRevB.88.195138	journal	November 2013
Pair correlations in doped Hubbard ladders Dolfi, Michele; Bauer, Bela; Keller, Sebastian Physical Review B, Vol. 92, Issue 19 https://doi.org/10.1103/PhysRevB.92.195139	journal	November 2015
Nature of a single doped hole in two-leg Hubbard and t − J ladders Liu, Shenxiu; Jiang, Hong-Chen; Devereaux, Thomas P. Physical Review B, Vol. 94, Issue 15 https://doi.org/10.1103/PhysRevB.94.155149	journal	October 2016
Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and FLEX results Nocera, A.; Wang, Y.; Patel, N. D. Physical Review B, Vol. 97, Issue 19 https://doi.org/10.1103/PhysRevB.97.195156	journal	May 2018
Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering Kumar, Umesh; Nocera, Alberto; Dagotto, Elbio Physical Review B, Vol. 99, Issue 20 https://doi.org/10.1103/PhysRevB.99.205130	journal	May 2019
Spectral functions with the density matrix renormalization group: Krylov-space approach for correction vectors Nocera, A.; Alvarez, G. Physical Review E, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevE.94.053308	journal	November 2016
Collective Magnetic Excitations in the Spin Ladder Sr 14 Cu 24 O 41 Measured Using High-Resolution Resonant Inelastic X-Ray Scattering Schlappa, J.; Schmitt, T.; Vernay, F. Physical Review Letters, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevLett.103.047401	journal	July 2009
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
Orbital Control of Effective Dimensionality: From Spin-Orbital Fractionalization to Confinement in the Anisotropic Ladder System CaCu 2 O 3 Bisogni, Valentina; Wohlfeld, Krzysztof; Nishimoto, Satoshi Physical Review Letters, Vol. 114, Issue 9 https://doi.org/10.1103/PhysRevLett.114.096402	journal	March 2015
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
Collective Nature of Orbital Excitations in Layered Cuprates in the Absence of Apical Oxygens Martinelli, Leonardo; Wohlfeld, Krzysztof; Pelliciari, Jonathan Physical Review Letters, Vol. 132, Issue 6 https://doi.org/10.1103/PhysRevLett.132.066004	journal	February 2024
Density matrix formulation for quantum renormalization groups White, Steven R. Physical Review Letters, Vol. 69, Issue 19 https://doi.org/10.1103/PhysRevLett.69.2863	journal	November 1992
Optical Study of the Sr 1 4 − x Ca x Cu 24 O 41 System: Evidence for Hole-Doped Cu 2 O 3 Ladders Osafune, T.; Motoyama, N.; Eisaki, H. Physical Review Letters, Vol. 78, Issue 10 https://doi.org/10.1103/PhysRevLett.78.1980	journal	March 1997
Pressure-Induced Dimensional Crossover and Superconductivity in the Hole-Doped Two-Leg Ladder Compound Sr14-xCaxCu24O41 Nagata, T.; Uehara, M.; Goto, J. Physical Review Letters, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevLett.81.1090	journal	August 1998
One- and Two-Triplon Spectra of a Cuprate Ladder Notbohm, S.; Ribeiro, P.; Lake, B. Physical Review Letters, Vol. 98, Issue 2 https://doi.org/10.1103/PhysRevLett.98.027403	journal	January 2007
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
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
The Challenge of Unconventional Superconductivity Norman, M. R. Science, Vol. 332, Issue 6026 https://doi.org/10.1126/science.1200181	journal	April 2011
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
Stripe order in the underdoped region of the two-dimensional Hubbard model Zheng, Bo-Xiao; Chung, Chia-Min; Corboz, Philippe Science, Vol. 358, Issue 6367 https://doi.org/10.1126/science.aam7127	journal	November 2017
Rapid change of superconductivity and electron-phonon coupling through critical doping in Bi-2212 He, Y.; Hashimoto, M.; Song, D. Science, Vol. 362, Issue 6410 https://doi.org/10.1126/science.aar3394	journal	October 2018
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 in the Ladder Material Sr _0.4 Ca _13.6 Cu ₂₄ O _41.84 Uehara, Masatomo; Nagata, Takashi; Akimitsu, Jun Journal of the Physical Society of Japan, Vol. 65, Issue 9 https://doi.org/10.1143/JPSJ.65.2764	journal	September 1996
The Hubbard Model Arovas, Daniel P.; Berg, Erez; Kivelson, Steven A. Annual Review of Condensed Matter Physics, Vol. 13, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031620-102024	journal	November 2021
The Hubbard Model: A Computational Perspective Qin, Mingpu; Schäfer, Thomas; Andergassen, Sabine Annual Review of Condensed Matter Physics, Vol. 13, Issue 1 https://doi.org/10.1146/annurev-conmatphys-090921-033948	journal	November 2021

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