Luther-Emery liquid and dominant singlet superconductivity in the hole-doped Haldane spin-1 chain

Laurell, Pontus; Herbrych, Jacek; Alvarez, Gonzalo; Dagotto, Elbio

doi:10.1103/physrevb.110.064515

Luther-Emery liquid and dominant singlet superconductivity in the hole-doped Haldane spin-1 chain

Journal Article · Mon Aug 26 00:00:00 EDT 2024 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.110.064515· OSTI ID:2474747

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Univ. of Tennessee, Knoxville, TN (United States)
Wroclaw Univ. of Science and Technology (Poland)
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

We investigate the pairing tendencies in the hole-doped Haldane spin-1 chain. To allow for doping, we extend the original spin chain Hamiltonian into a fermionic model involving a two-orbital Hubbard chain at intermediate or strong repulsive interaction strengths U and for degenerate orbitals. At half filling and large U, the ferromagnetic Hund's coupling, J_H, generates effective spin-1 moments, with antiferromagnetic correlations between sites. Using large-scale density matrix renormalization group calculations, we accurately study the system's behavior under light hole-doping. For U = 1.6 in units of the noninteracting bandwidth and for J_H/U ≳ 0.275, we find that singlet pairing dominates the long-distance physics, establishing this system as a promising platform for repulsively mediated superconductivity. We provide concrete examples of materials that could realize the physics described here. We also provide evidence that the system approaches a Luther-Emery liquid state at large system sizes, reminiscent of the behavior of doped one-orbital two-leg ladders at weak coupling, which also have superconducting tendencies. The numerically calculated central charge approaches one in the thermodynamic limit, indicating a single gapless mode as is expected for the Luther-Emery state. Exponents characterizing the power-law decays of singlet pair-pair and charge density-density correlations are determined, and found to approximately satisfy the Luther-Emery identity.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 2474747

Alternate ID(s):: OSTI ID: 2474039

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 6 Vol. 110; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (69)

Hidden symmetry breaking and the Haldane phase inS=1 quantum spin chains Kennedy, Tom; Tasaki, Hal Communications in Mathematical Physics, Vol. 147, Issue 3 https://doi.org/10.1007/BF02097239	journal	July 1992
The ground state of the two-leg Hubbard ladder a density-matrix renormalization group study Noack, R. M.; White, S. R.; Scalapino, D. J. Physica C: Superconductivity, Vol. 270, Issue 3-4 https://doi.org/10.1016/S0921-4534(96)00515-1	journal	October 1996
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
Spin-triplet superconductivity in the double-chain Hubbard model with ferromagnetic exchange interaction Shirakawa, T.; Ohta, Y.; Nishimoto, S. Journal of Magnetism and Magnetic Materials, Vol. 310, Issue 2 https://doi.org/10.1016/j.jmmm.2006.10.188	journal	March 2007
Spin-triplet superconductivity in the Hubbard chains coupled with ferromagnetic exchange interaction Nishimoto, S.; Shirakawa, T.; Ohta, Y. Physica C: Superconductivity, Vol. 460-462 https://doi.org/10.1016/j.physc.2007.03.216	journal	September 2007
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
Symmetry protected topological Luttinger liquids and the phase transition between them Jiang, Hong-Chen; Li, Zi-Xiang; Seidel, Alexander Science Bulletin, Vol. 63, Issue 12 https://doi.org/10.1016/j.scib.2018.05.010	journal	June 2018
Strongly Correlated Ladders in K-Doped p-Terphenyl Crystals Sous, John; Gadjieva, Natalia A.; Nuckolls, Colin Nano Letters, Vol. 21, Issue 22 https://doi.org/10.1021/acs.nanolett.1c03236	journal	November 2021
Pressure-induced superconductivity in the iron-based ladder material BaFe2S3 Takahashi, Hiroki; Sugimoto, Akira; Nambu, Yusuke Nature Materials, Vol. 14, Issue 10 https://doi.org/10.1038/nmat4351	journal	July 2015
Magnetism and its microscopic origin in iron-based high-temperature superconductors Dai, Pengcheng; Hu, Jiangping; Dagotto, Elbio Nature Physics, Vol. 8, Issue 10 https://doi.org/10.1038/nphys2438	journal	October 2012
Transition to the Haldane phase driven by electron-electron correlations Jażdżewska, A.; Mierzejewski, M.; Środa, M. Nature Communications, Vol. 14, Issue 1 https://doi.org/10.1038/s41467-023-44135-9	journal	December 2023
Emergence of superconductivity in doped multiorbital Hubbard chains Patel, Niravkumar D.; Kaushal, Nitin; Nocera, Alberto npj Quantum Materials, Vol. 5, Issue 1 https://doi.org/10.1038/s41535-020-0228-2	journal	May 2020
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
Magnetically mediated hole pairing in fermionic ladders of ultracold atoms Hirthe, Sarah; Chalopin, Thomas; Bourgund, Dominik Nature, Vol. 613, Issue 7944 https://doi.org/10.1038/s41586-022-05437-y	journal	January 2023
Cleavable magnetic materials from van der Waals layered transition metal halides and chalcogenides McGuire, Michael A. Journal of Applied Physics, Vol. 128, Issue 11 https://doi.org/10.1063/5.0023729	journal	September 2020
Electronic and magnetic properties of quasi-one-dimensional osmium halide OsCl ₄ Zhang, Yang; Lin, Ling-Fang; Moreo, Adriana Applied Physics Letters, Vol. 120, Issue 2 https://doi.org/10.1063/5.0079570	journal	January 2022
Ground-state phase diagram of the t-t ′ -J model Jiang, Shengtao; Scalapino, Douglas J.; White, Steven R. Proceedings of the National Academy of Sciences, Vol. 118, Issue 44 https://doi.org/10.1073/pnas.2109978118	journal	October 2021
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
Quantum spin chains and the Haldane gap Affleck, I. Journal of Physics: Condensed Matter, Vol. 1, Issue 19 https://doi.org/10.1088/0953-8984/1/19/001	journal	May 1989
Exact diagonalisations of open spin-1 chains Kennedy, T. Journal of Physics: Condensed Matter, Vol. 2, Issue 26 https://doi.org/10.1088/0953-8984/2/26/010	journal	July 1990
Entanglement entropy and quantum field theory Calabrese, Pasquale; Cardy, John Journal of Statistical Mechanics: Theory and Experiment, Vol. 2004, Issue 06 https://doi.org/10.1088/1742-5468/2004/06/p06002	journal	June 2004
Magnetic phase transitions in quantum spin-orbital liquids Feng, Shi; Patel, Niravkumar D.; Kim, Panjin Physical Review B, Vol. 101, Issue 15 https://doi.org/10.1103/PhysRevB.101.155112	journal	April 2020
Hubbard ladders at small U revisited Gannot, Yuval; Jiang, Yi-Fan; Kivelson, Steven A. Physical Review B, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevB.102.115136	journal	September 2020
Gapless to gapless phase transitions in quantum spin chains Feng, Shi; Alvarez, Gonzalo; Trivedi, Nandini Physical Review B, Vol. 105, Issue 1 https://doi.org/10.1103/PhysRevB.105.014435	journal	January 2022
Strongly anisotropic electronic and magnetic structures in oxide dichlorides RuOCl2 and OsOCl2 Zhang, Yang; Lin, Ling-Fang; Moreo, Adriana Physical Review B, Vol. 105, Issue 17 https://doi.org/10.1103/PhysRevB.105.174410	journal	May 2022
Pair-density-wave superconductor from doping Haldane chain and rung-singlet ladder Zhang, Ya-Hui; Vishwanath, Ashvin Physical Review B, Vol. 106, Issue 4 https://doi.org/10.1103/PhysRevB.106.045103	journal	July 2022
Reexamining doped two-legged Hubbard ladders Shen, Yang; Zhang, Guang-Ming; Qin, Mingpu Physical Review B, Vol. 108, Issue 16 https://doi.org/10.1103/PhysRevB.108.165113	journal	October 2023
Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains den Nijs, Marcel; Rommelse, Koos Physical Review B, Vol. 40, Issue 7 https://doi.org/10.1103/PhysRevB.40.4709	journal	September 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
Edge states in open antiferromagnetic Heisenberg chains Qin, Shaojin; Ng, Tai-Kai; Su, Zhao-Bin Physical Review B, Vol. 52, Issue 17 https://doi.org/10.1103/PhysRevB.52.12844	journal	November 1995
Weak-coupling approach to hole-dopedS=1 Haldane systems Fujimoto, Satoshi; Kawakami, Norio Physical Review B, Vol. 52, Issue 9 https://doi.org/10.1103/PhysRevB.52.6189	journal	September 1995
Superconductivity in a spin liquid: A one-dimensional example Shelton, D. G.; Tsvelik, A. M. Physical Review B, Vol. 53, Issue 21 https://doi.org/10.1103/PhysRevB.53.14036	journal	June 1996
Phases of two coupled Luttinger liquids Schulz, H. J. Physical Review B, Vol. 53, Issue 6 https://doi.org/10.1103/PhysRevB.53.R2959	journal	February 1996
Y 2 BaNi O 5 : A nearly ideal realization of the S = 1 Heisenberg chain with antiferromagnetic interactions Xu, Guangyong; DiTusa, J. F.; Ito, T. Physical Review B, Vol. 54, Issue 10 https://doi.org/10.1103/PhysRevB.54.R6827	journal	September 1996
Enhanced d x 2 − y 2 pairing correlations in the two-leg Hubbard ladder Noack, R. M.; Bulut, N.; Scalapino, D. J. Physical Review B, Vol. 56, Issue 12 https://doi.org/10.1103/PhysRevB.56.7162	journal	September 1997
Friedel oscillations and charge density waves in chains and ladders White, Steven R.; Affleck, Ian; Scalapino, Douglas J. Physical Review B, Vol. 65, Issue 16 https://doi.org/10.1103/PhysRevB.65.165122	journal	April 2002
Hole redistribution in Sr 14 − x Ca x Cu 24 O 41 ( x = 0 , 12 ) spin ladder compounds: Cu 63 and O 17 NMR studies under pressure Piskunov, Y.; Jérome, D.; Auban-Senzier, P. Physical Review B, Vol. 72, Issue 6 https://doi.org/10.1103/PhysRevB.72.064512	journal	August 2005
Superconductivity in a model of two Hubbard chains coupled with ferromagnetic exchange interaction Shirakawa, T.; Nishimoto, S.; Ohta, Y. Physical Review B, Vol. 77, Issue 22 https://doi.org/10.1103/PhysRevB.77.224510	journal	June 2008
Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order Gu, Zheng-Cheng; Wen, Xiao-Gang Physical Review B, Vol. 80, Issue 15 https://doi.org/10.1103/PhysRevB.80.155131	journal	October 2009
Entanglement spectrum of a topological phase in one dimension Pollmann, Frank; Turner, Ari M.; Berg, Erez Physical Review B, Vol. 81, Issue 6 https://doi.org/10.1103/PhysRevB.81.064439	journal	February 2010
Neutron and ARPES constraints on the couplings of the multiorbital Hubbard model for the iron pnictides Luo, Qinlong; Martins, George; Yao, Dao-Xin Physical Review B, Vol. 82, Issue 10 https://doi.org/10.1103/PhysRevB.82.104508	journal	September 2010
Symmetry protection of topological phases in one-dimensional quantum spin systems Pollmann, Frank; Berg, Erez; Turner, Ari M. Physical Review B, Vol. 85, Issue 7 https://doi.org/10.1103/PhysRevB.85.075125	journal	February 2012
One-dimensional physics in transition-metal nanowires: Renormalization group and bosonization analysis Okamoto, Jun-ichi; Millis, A. J. Physical Review B, Vol. 85, Issue 11 https://doi.org/10.1103/PhysRevB.85.115406	journal	March 2012
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
Pressure-driven phase transition from antiferromagnetic semiconductor to nonmagnetic metal in the two-leg ladders A Fe 2 X 3 ( A = Ba , K ; X = S , Se ) Zhang, Yang; Lin, Lingfang; Zhang, Jun-Jie Physical Review B, Vol. 95, Issue 11 https://doi.org/10.1103/PhysRevB.95.115154	journal	March 2017
Interplay of magnetism and superconductivity in the compressed Fe-ladder compound BaFe 2 Se 3 Ying, Jianjun; Lei, Hechang; Petrovic, Cedomir Physical Review B, Vol. 95, Issue 24 https://doi.org/10.1103/PhysRevB.95.241109	journal	June 2017
Pairing tendencies in a two-orbital Hubbard model in one dimension Patel, N. D.; Nocera, A.; Alvarez, G. Physical Review B, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRevB.96.024520	journal	July 2017
Renormalization group analysis for the quasi-one-dimensional superconductor BaFe 2 S 3 König, Elio J.; Tsvelik, Alexei M.; Coleman, Piers Physical Review B, Vol. 98, Issue 18 https://doi.org/10.1103/PhysRevB.98.184517	journal	November 2018
Emergence of dxy -wave superconductivity in a doped two-leg diagonal ladder Hou, Jie; Lee, Ting-Kuo; Lou, Jie Physical Review B, Vol. 99, Issue 9 https://doi.org/10.1103/PhysRevB.99.094510	journal	March 2019
Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States Li, Hui; Haldane, F. D. M. Physical Review Letters, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRevLett.101.010504	journal	July 2008
Pressure-Induced Mott Transition Followed by a 24-K Superconducting Phase in BaFe 2 S 3 Yamauchi, Touru; Hirata, Yasuyuki; Ueda, Yutaka Physical Review Letters, Vol. 115, Issue 24 https://doi.org/10.1103/PhysRevLett.115.246402	journal	December 2015
Backward Scattering in the One-Dimensional Electron Gas Luther, A.; Emery, V. J. Physical Review Letters, Vol. 33, Issue 10 https://doi.org/10.1103/PhysRevLett.33.589	journal	September 1974
Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State Haldane, F. D. M. Physical Review Letters, Vol. 50, Issue 15 https://doi.org/10.1103/PhysRevLett.50.1153	journal	April 1983
Rigorous results on valence-bond ground states in antiferromagnets Affleck, Ian; Kennedy, Tom; Lieb, Elliott H. Physical Review Letters, Vol. 59, Issue 7 https://doi.org/10.1103/PhysRevLett.59.799	journal	August 1987
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
Phase Diagram of Electronic Models for Transition Metal Oxides in One Dimension Riera, Jose; Hallberg, Karen; Dagotto, Elbio Physical Review Letters, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevLett.79.713	journal	July 1997
Topological superconductivity by doping symmetry-protected topological states Ning, Shang-Qiang; Liu, Zheng-Xin; Jiang, Hong-Chen Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.023184	journal	May 2020
Correlated electrons in high-temperature superconductors Dagotto, Elbio Reviews of Modern Physics, Vol. 66, Issue 3 https://doi.org/10.1103/RevModPhys.66.763	journal	July 1994
Doping a Mott insulator: Physics of high-temperature superconductivity Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang Reviews of Modern Physics, Vol. 78, Issue 1 https://doi.org/10.1103/RevModPhys.78.17	journal	January 2006
Colloquium : The unexpected properties of alkali metal iron selenide superconductors Dagotto, Elbio Reviews of Modern Physics, Vol. 85, Issue 2 https://doi.org/10.1103/RevModPhys.85.849	journal	May 2013
Surprises on the Way from One- to Two-Dimensional Quantum Magnets: The Ladder Materials Dagotto, E.; Rice, T. M. Science, Vol. 271, Issue 5249 https://doi.org/10.1126/science.271.5249.618	journal	February 1996
Holes in a Quantum Spin Liquid Xu, G. Science, Vol. 289, Issue 5478 https://doi.org/10.1126/science.289.5478.419	journal	July 2000
Chiral Anomaly and Spin Gap in One-Dimensional Interacting Fermions Nagaosa, Naoto; Oshikawa, Masaki Journal of the Physical Society of Japan, Vol. 65, Issue 7 https://doi.org/10.1143/JPSJ.65.2241	journal	July 1996
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
Effect of the Orbital Level Difference in Doped Spin-1 Chains Ammon, Beat; Imada, Masatoshi Journal of the Physical Society of Japan, Vol. 69, Issue 7 https://doi.org/10.1143/JPSJ.69.1946	journal	July 2000
Doped Two Orbital Chains with Strong Hund's Rule Couplings - Ferromagnetism, Spin Gap, Singlet and Triplet Pairings Ammon, Beat; Imada, Masatoshi Journal of the Physical Society of Japan, Vol. 70, Issue 2 https://doi.org/10.1143/JPSJ.70.547	journal	February 2001
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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