Cited by 91Cold Atom Physics and Bose-Einstein CondensatesPhysics of Superconductivity and MagnetismQuantum many-body systems

Magnetically mediated hole pairing in fermionic ladders of ultracold atoms

Open access
Hirthe, Sarah, Chalopin, Thomas, Bourgund, Dominik, Bojović, Petar, Bohrdt, Annabelle, Demler, Eugene, Grusdt, Fabian, Bloch, Immanuel +1 more·2023·Nature

Abstract

Conventional superconductivity emerges from pairing of charge carriers—electrons or holes—mediated by phonons 1 . In many unconventional superconductors, the pairing mechanism is conjectured to be mediated by magnetic correlations 2 , as captured by models of mobile charges in doped antiferromagnets 3 . However, a precise understanding of the underlying mechanism in real materials is still lacking and has been driving experimental and theoretical research for the past 40 years. Early theoretical studies predicted magnetic-mediated pairing of dopants in ladder systems 4–8 , in which idealized theoretical toy models explained how pairing can emerge despite repulsive interactions 9 . Here we experimentally observe this long-standing theoretical prediction, reporting hole pairing due to magnetic correlations in a quantum gas of ultracold atoms. By engineering doped antiferromagnetic ladders with mixed-dimensional couplings 10 , we suppress Pauli blocking of holes at short length scales. This results in a marked increase in binding energy and decrease in pair size, enabling us to observe pairs of holes predominantly occupying the same rung of the ladder. We find a hole–hole binding energy of the order of the superexchange energy and, upon increased doping, we observe spatial structures in the pair distribution, indicating repulsion between bound hole pairs. By engineering a configuration in which binding is strongly enhanced, we delineate a strategy to increase the critical temperature for superconductivity.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1038/s41586-022-05437-y

Cites

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Analogue quantum simulation with ultra-cold neutral atoms has been performed in research labs for many years and is being used for various applications ranging from statistical physics and material science to high-energy physics and astrophysics.

    “Analogue quantum simulation with ultra-cold neutral atoms has been performed in research labs since many years and is being used for various applications ranging from statistical physics [78] and material science, such as the investigation of high-temperature superconductors [79][80][81][82][83][84], or simulation of spin systems [85][86][87][88][89] to high-energy physics and astrophysics [90][91”

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

The citation lists haven’t been fetched yet

References 57 · Cited by 91

Research works printed but not linked: 53

  1. [1]Bardeen J Cooper LN Schrieffer JR Microscopic theory of superconductivity Phys. Rev. 1957 106 162 164 10.1103/PhysRev.106.162 · DOI
  2. [2]Scalapino DJ Superconductivity and spin fluctuations J. Low Temp. Phys. 1999 117 179 188 10.1023/A:1022559920049 · DOI
  3. [3]Lee PA Nagaosa N Wen X-G Doping a Mott insulator: physics of high-temperature superconductivity Rev. Mod. Phys. 2006 78 17 85 10.1103/RevModPhys.78.17 · DOI
  4. [4]Dagotto E Riera J Scalapino D Superconductivity in ladders and coupled planes Phys. Rev. B 1992 45 5744 5747 10.1103/PhysRevB.45.5744 10000307 · DOI
  5. [5]Sigrist M Rice TM Zhang FC Superconductivity in a quasi-one-dimensional spin liquid Phys. Rev. B 1994 49 12058 12061 10.1103/PhysRevB.49.12058 10010079 · DOI
  6. [6]Troyer M Tsunetsugu H Rice TM Properties of lightly doped t-J two-leg ladders Phys. Rev. B 1996 53 251 267 10.1103/PhysRevB.53.251 9981971 · DOI
  7. [7]Schulz HJ Metal-insulator transition in the two-chain model of correlated fermions Phys. Rev. B 1999 59 R2471 R2473 10.1103/PhysRevB.59.R2471 · DOI
  8. [8]Giamarchi, T. Quantum Physics in One Dimension. International Series of Monographs on Physics, vol. 121 (Clarendon Press, 2004).
  9. [9]Kohn W Luttinger JM New mechanism for superconductivity Phys. Rev. Lett. 1965 15 524 526 10.1103/PhysRevLett.15.524 · DOI
  10. [10]Bohrdt A Homeier L Bloch I Demler E Grusdt F Strong pairing in mixed dimensional bilayer antiferromagnetic Mott insulators Nat. Phys. 2021 18 651 656 10.1038/s41567-022-01561-8 · DOI
  11. [11]White B Thompson J Maple M Unconventional superconductivity in heavy-fermion compounds Phys. C: Supercond. Appl. 2015 514 246 278 10.1016/j.physc.2015.02.044 · DOI
  12. [12]Wen H-H Li S Materials and novel superconductivity in iron pnictide superconductors Annu. Rev. Condens. Matter Phys. 2011 2 121 140 10.1146/annurev-conmatphys-062910-140518 · DOI
  13. [13]Wosnitza J Superconductivity in layered organic metals Crystals 2012 2 248 265 10.3390/cryst2020248 · DOI
  14. [14]Keimer B Kivelson SA Norman MR Uchida S Zaanen J From quantum matter to high-temperature superconductivity in copper oxides Nature 2015 518 179 186 10.1038/nature14165 25673411 · DOI
  15. [15]Cao Y Unconventional superconductivity in magic-angle graphene superlattices Nature 2018 556 43 50 10.1038/nature26160 29512651 · DOI
  16. [17]Chiu CS String patterns in the doped Hubbard model Science 2019 365 251 256 10.1126/science.aav3587 31320533 · DOI
  17. [18]Brown PT Bad metallic transport in a cold atom Fermi-Hubbard system Science 2019 363 379 382 10.1126/science.aat4134 30523078 · DOI
  18. [19]Koepsell J Imaging magnetic polarons in the doped Fermi-Hubbard model Nature 2019 572 358 362 10.1038/s41586-019-1463-1 31413377 · DOI
  19. [21]Koepsell J Microscopic evolution of doped Mott insulators from polaronic metal to Fermi liquid Science 2021 374 82 86 10.1126/science.abe7165 34591626 · DOI
  20. [22]Bohrdt A Homeier L Reinmoser C Demler E Grusdt F Exploration of doped quantum magnets with ultracold atoms Ann. Phys. 2021 435 168651 10.1016/j.aop.2021.168651 · DOI
  21. [25]Chernyshev AL Leung PW Gooding RJ Comprehensive numerical and analytical study of two holes doped into the two-dimensional t − J model Phys. Rev. B 1998 58 13594 13613 10.1103/PhysRevB.58.13594 · DOI
  22. [26]White SR Density matrix formulation for quantum renormalization groups Phys. Rev. Lett. 1992 69 2863 2866 10.1103/PhysRevLett.69.2863 10046608 · DOI · Paper page
  23. [27]Uehara M Superconductivity in the ladder material Sr0.4Ca13.6Cu24O41.84 J. Phys. Soc. Jpn. 1996 65 2764 2767 10.1143/JPSJ.65.2764 · DOI
  24. [28]Nagata T Pressure-induced dimensional crossover and superconductivity in the hole-doped two-leg ladder compound Sr14−xCaxCu24O41 Phys. Rev. Lett. 1998 81 1090 1093 10.1103/PhysRevLett.81.1090 · DOI
  25. [29]Dagotto E Experiments on ladders reveal a complex interplay between a spin-gapped normal state and superconductivity Rep. Prog. Phys. 1999 62 1525 1571 10.1088/0034-4885/62/11/202 · DOI
  26. [30]Chakravarty S Kivelson SA Electronic mechanism of superconductivity in the cuprates, C60, and polyacenes Phys. Rev. B 2001 64 064511 10.1103/PhysRevB.64.064511 · DOI
  27. [31]Kantian A Dolfi M Troyer M Giamarchi T Understanding repulsively mediated superconductivity of correlated electrons via massively parallel density matrix renormalization group Phys. Rev. B 2019 100 075138 10.1103/PhysRevB.100.075138 · DOI
  28. [32]Leung PW Low-energy states with different symmetries in the t − J model with two holes on a 32-site lattice Phys. Rev. B 2002 65 205101 10.1103/PhysRevB.65.205101 · DOI
  29. [33]Blomquist E Carlström J Evidence of attraction between charge carriers in a doped Mott insulator Phys. Rev. Res. 2021 3 013272 10.1103/PhysRevResearch.3.013272 · DOI
  30. [34]White SR Scalapino DJ Hole and pair structures in the t-J model Phys. Rev. B 1997 55 6504 6517 10.1103/PhysRevB.55.6504 · DOI
  31. [35]Duan L-M Demler E Lukin MD Controlling spin exchange interactions of ultracold atoms in optical lattices Phys. Rev. Lett. 2003 91 090402 10.1103/PhysRevLett.91.090402 14525163 · DOI
  32. [36]Trotzky S Time-resolved observation and control of superexchange interactions with ultracold atoms in optical lattices Science 2008 319 295 299 10.1126/science.1150841 18096767 · DOI · Paper page
  33. [37]Sompet P Realizing the symmetry-protected haldane phase in Fermi-Hubbard ladders Nature 2020 606 484 488 10.1038/s41586-022-04688-z PMC9200636 35650440 · DOI
  34. [38]Koepsell J Robust bilayer charge pumping for spin- and density-resolved quantum gas microscopy Phys. Rev. Lett. 2020 125 010403 10.1103/PhysRevLett.125.010403 32678648 · DOI
  35. [39]Fradkin E Kivelson SA Tranquada JM Colloquium: theory of intertwined orders in high temperature superconductors Rev. Mod. Phys. 2015 87 457 482 10.1103/RevModPhys.87.457 · DOI · Paper page
  36. [40]Friedel J The distribution of electrons round impurities in monovalent metals Philos. Mag. J. Sci. 1952 43 153 189 10.1080/14786440208561086 · DOI
  37. [41]White SR Affleck I Scalapino DJ Friedel oscillations and charge density waves in chains and ladders Phys. Rev. B 2002 65 165122 10.1103/PhysRevB.65.165122 · DOI
  38. [42]Zhang S-S Zhu W Batista CD Pairing from strong repulsion in triangular lattice Hubbard model Phys. Rev. B 2018 97 140507 10.1103/PhysRevB.97.140507 · DOI
  39. [43]Song, Z.-D. & Bernevig, B. A. MATBG as topological heavy fermion: I. exact mapping and correlated insulators. Preprint at https://arxiv.org/abs/2111.05865 (2021). · arXiv
  40. [44]Chaudhary S Hsieh D Refael G Orbital floquet engineering of exchange interactions in magnetic materials Phys. Rev. B 2019 100 220403 10.1103/PhysRevB.100.220403 · DOI
  41. [45]Preiss PM Ma R Tai ME Simon J Greiner M Quantum gas microscopy with spin, atom-number, and multilayer readout Phys. Rev. A 2015 91 041602 10.1103/PhysRevA.91.041602 · DOI
  42. [46]Hartke T Oreg B Jia N Zwierlein M Doublon-hole correlations and fluctuation thermometry in a Fermi-Hubbard gas Phys. Rev. Lett. 2020 125 113601 10.1103/PhysRevLett.125.113601 32975995 · DOI
  43. [47]Grusdt F Zhu Z Shi T Demler E Meson formation in mixed-dimensional t-J models SciPost Phys. 2018 5 057 10.21468/SciPostPhys.5.6.057 · DOI
  44. [48]Rey AM Controlled preparation and detection of d-wave superfluidity in two-dimensional optical superlattices Europhys. Lett. 2009 87 60001 10.1209/0295-5075/87/60001 · DOI
  45. [49]Trebst S Schollwöck U Troyer M Zoller P d-Wave resonating valence bond states of fermionic atoms in optical lattices Phys. Rev. Lett. 2006 96 250402 10.1103/PhysRevLett.96.250402 16907290 · DOI
  46. [50]Omran A Microscopic observation of Pauli blocking in degenerate Fermionic lattice gases Phys. Rev. Lett. 2015 115 263001 10.1103/PhysRevLett.115.263001 26764988 · DOI
  47. [53]Verstraete F García-Ripoll JJ Cirac JI Matrix product density operators: simulation of finite-temperature and dissipative systems Phys. Rev. Lett. 2004 93 207204 10.1103/PhysRevLett.93.207204 15600964 · DOI · Paper page
  48. [54]Schollwöck U The density-matrix renormalization group in the age of matrix product states Ann. Phys. 2011 326 96 192 10.1016/j.aop.2010.09.012 · DOI · Paper page
  49. [55]Nocera A Alvarez G Symmetry-conserving purification of quantum states within the density matrix renormalization group Phys. Rev. B 2016 93 045137 10.1103/PhysRevB.93.045137 · DOI
  50. [56]Zaletel MP Mong RSK Karrasch C Moore JE Pollmann F Time-evolving a matrix product state with long-ranged interactions Phys. Rev. B 2015 91 165112 10.1103/PhysRevB.91.165112 · DOI
  51. [57]Ferris AJ Vidal G Perfect sampling with unitary tensor networks Phys. Rev. B 2012 85 165146 10.1103/PhysRevB.85.165146 · DOI
  52. [58]Auerbach, A. Interacting Electrons and Quantum Magnetism Graduate Texts in Contemporary Physics (Springer, 1994).
  53. [59]Karakonstantakis G Berg E White SR Kivelson SA Enhanced pairing in the checkerboard Hubbard ladder Phys. Rev. B 2011 83 054508 10.1103/PhysRevB.83.054508 · DOI

Authors
Hirthe, S., Chalopin, T., Bourgund, D., Bojović, P., Bohrdt, A., Demler, E., Grusdt, F., Bloch, I., & Hilker, T. A.
Affiliations
  • Max Planck Institute of Quantum Optics (DE)
  • Harvard University (US)
  • ETH Zurich (CH)
  • Munich Center for Quantum Science and Technology (DE)
Corresponding author
Hirthe, Sarah
Venue
Nature
Published
2023-01-18
Volume
613
Issue
7944
Pages
463-467
ISSN
  • 0028-0836 (ISSN-L)
  • 1476-4687
OpenAlex
W4221154123
Cited by
91
References
57
Citations by year
2026: 16 · 2025: 21 · 2024: 37 · 2023: 15 · 2022: 2
FWCI
10.33
Type
journal article
Language
en
Open access
Locations
  • Nature (publishedVersion, cc-by)
  • PubMed Central (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • Strathprints: The University of Strathclyde institutional repository (University of Strathclyde) (acceptedVersion, other-oa)
  • arXiv (Cornell University) (submittedVersion)
  • Repository for Publications and Research Data (ETH Zurich) (submittedVersion, cc-by)
  • RePEc: Research Papers in Economics (submittedVersion)
  • arXiv (Cornell University)
  • ETH Zürich Research Collection
Funders
  • National Science Foundation (EXC- 2111-390814868)
  • Smithsonian Institution
  • Harvard University
  • European Commission (HORIZON2020, 817482)
  • Bundesministerium für Bildung und Forschung (13N15890)
  • Max-Planck-Gesellschaft (817482)
  • Institute for Theoretical Atomic, Molecular and Optical Physics, Harvard University
  • U.S. Air Force (FA95501610323)
  • Smithsonian Astrophysical Observatory
  • Multidisciplinary University Research Initiative (FA9550-16-1-0323)
  • Air Force Office of Scientific Research (FA95501610323, W911NF-20-1-0163)
  • Army Research Office (W911NF, W911NF20-1-0163)
  • H2020 European Research Council (948141)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
Keywords
hole pairing, ultracold atoms, doped antiferromagnets, unconventional superconductivity, Pauli blocking, superexchange, hole binding energy, critical temperature, repulsive interactions

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review