The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Stripe order in the underdoped region of the two-dimensional Hubbard model
Open accessAbstract
Numerics converging on stripes: The Hubbard model (HM) describes the behavior of interacting particles on a lattice where the particles can hop from one lattice site to the next. Although it appears simple, solving the HM when the interactions are repulsive, the particles are fermions, and the temperature is low—all of which applies in the case of correlated electron systems—is computationally challenging. Two groups have tackled this important problem. Huang et al. studied a three-band version of the HM at finite temperature, whereas Zheng et al. used five complementary numerical methods that kept each other in check to discern the ground state of the HM. Both groups found evidence for stripes, or one-dimensional charge and/or spin density modulations. Science , this issue p. 1161 , p. 1155
Overview
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.
Integrity signals
Registry
Cites
Statistics
Verification
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.
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?
The lack of superconductivity in the pure Hubbard model is tied to the occurrence of filled striped states.
“In that case, the lack of superconductivity was tied to the occurrence of filled striped states ( 33 ).”
From Coexistence of superconductivity with partially filled stripes in the Hubbard model (2024) · cites this paper as [33]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Orús, R., & Vidal, G. (2009) · Physical Review B · doi:10.1103/physrevb.80.094403 · Cited by 387
Flagged first, then by citations
Research works printed but not linked: 63
- 10.1126/science.1107559 · DOI
- 10.1146/annurev-conmatphys-031115-011401 · DOI
- 10.1126/science.aad3279 · DOI
- 10.1038/nature09597 · DOI
- 10.1126/science.aac6257 · DOI
- 10.1103/RevModPhys.87.457 · DOI · Paper page
- 10.1103/PhysRevB.39.9749 · DOI
- 10.1103/PhysRevB.40.7391 · DOI
- 10.1016/0921-4534(89)90316-X · DOI
- 10.1103/PhysRevLett.64.475 · DOI
- 10.1016/0921-4526(90)90196-2 · DOI
- 10.1103/PhysRevLett.80.1272 · DOI
- 10.1103/PhysRevLett.91.136403 · DOI · Paper page
- 10.1103/PhysRevB.71.075108 · DOI
- 10.1103/PhysRevLett.88.117001 · DOI
- 10.1103/PhysRevLett.104.116402 · DOI · Paper page
- 10.1103/PhysRevLett.113.046402 · DOI
- 10.1103/PhysRevB.93.035126 · DOI
- 10.1103/PhysRevLett.116.096402 · DOI
- 10.1103/PhysRevLett.88.117002 · DOI
- 10.1103/PhysRevB.85.081110 · DOI
- 10.1103/PhysRevB.74.085104 · DOI
- 10.1103/PhysRevX.5.041041 · DOI
- 10.1103/PhysRevB.76.140505 · DOI
- 10.1103/PhysRevB.78.134530 · DOI
- 10.1103/PhysRevB.81.060503 · DOI
- 10.1103/PhysRevB.40.506 · DOI
- 10.1103/PhysRevB.96.041105 · DOI
- 10.1103/PhysRevLett.74.3652 · DOI
- 10.1103/PhysRevB.78.165101 · DOI · Paper page
- 10.1103/PhysRevB.94.235119 · DOI · Paper page
- 10.1103/PhysRevB.93.155139 · DOI
- 10.1146/annurev-conmatphys-020911-125018 · DOI · Paper page
- 10.1103/PhysRevLett.109.186404 · DOI
- F. Verstraete J. I. Cirac Renormalization algorithms for quantum many-body systems in two and higher dimensions. arXiv:cond-mat/0407066 [cond-mat.str-el] (2 July 2004). · arXiv
- Y. Nishio N. Maeshima A. Gendiar T. Nishino Tensor product variational formulation for quantum systems. arXiv:cond-mat/0401115 [cond-mat.stat-mech] (8 January 2004). · arXiv
- 10.1103/PhysRevLett.101.250602 · DOI · Paper page
- 10.1038/375561a0 · DOI · Paper page
- 10.1103/PhysRevB.51.12605 · DOI
- 10.1103/PhysRevB.66.104505 · DOI
- 10.1103/PhysRevB.70.220506 · DOI
- 10.1143/JPSJ.59.1047 · DOI
- 10.1103/PhysRevB.95.155116 · DOI
- 10.1088/0953-8984/23/50/505601 · DOI
- 10.1103/PhysRevB.56.6120 · DOI
- 10.1038/31177 · DOI
- 10.1080/13642810108208566 · DOI
- H.-B. Schüttler C. Gröber H. Evertz W. Hanke Screening of long-range Coulomb interactions in the quasi two-dimensional extended Hubbard model: A combined quantum Monte Carlo and Feynman diagram study. arXiv:cond-mat/0104300 [cond-mat.str-el] (17 April 2001). · arXiv
- 10.1103/PhysRevB.65.134503 · DOI
- 10.1103/PhysRevB.94.085103 · DOI
- 10.1080/14789940801912366 · DOI
- 10.1143/PTP.105.409 · DOI
- 10.1103/RevModPhys.82.277 · DOI · Paper page
- 10.1103/PhysRevB.93.045116 · DOI
- 10.1103/PhysRevB.81.165104 · DOI
- 10.1103/PhysRevB.92.035142 · DOI · Paper page
- 10.1103/PhysRevLett.101.117203 · DOI
- 10.1103/PhysRevB.84.041108 · DOI · Paper page
- 10.1143/JPSJ.65.891 · DOI
- 10.1103/PhysRevB.83.115125 · DOI
- 10.1103/PhysRevB.83.125106 · DOI
- 10.1103/PhysRevB.80.165129 · DOI
- 10.1103/PhysRevB.95.045103 · DOI
Cited by
Sorted by citations
Building a Fault-Tolerant Quantum Computer Using Concatenated Cat Codes
Chamberland, C., Noh, K., Arrangoiz-Arriola, P., Campbell, E. T., Hann, C. T., Iverson, J., Putterman, H., Bohdanowicz, T. C., Flammia, S. T., Keller, A., et al. (2022) · PRX Quantum · doi:10.1103/prxquantum.3.010329 · Cited by 281
Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t ′
Jiang, H.-C., & Devereaux, T. P. (2019) · Science · doi:10.1126/science.aal5304 · Cited by 228
Quantum Algorithms to Simulate Many-Body Physics of Correlated Fermions
Jiang, Z., Sung, K. J., Kechedzhi, K., Smelyanskiy, V. N., & Boixo, S. (2018) · Physical Review Applied · doi:10.1103/physrevapplied.9.044036 · Cited by 175
Quantum many-body simulations on digital quantum computers: State-of-the-art and future challenges
Fauseweh, B. (2024) · Nature Communications · doi:10.1038/s41467-024-46402-9 · Cited by 152
Coexistence of superconductivity with partially filled stripes in the Hubbard model
Xu, H., Chung, C.-M., Qin, M., Schollwöck, U., White, S. R., & Zhang, S. (2024) · Science · doi:10.1126/science.adh7691 · Cited by 144
“In thatcase,thelackofsuperconductivitywastied totheoccurrenceoffilled-stripestates( 33 ).”
Self-citationIsometric Tensor Network States in Two Dimensions
Zaletel, M. P., & Pollmann, F. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.037201 · Cited by 138
Stripe order from the perspective of the Hubbard model
Huang, E. W., Mendl, C. B., Jiang, H.-C., Moritz, B., & Devereaux, T. P. (2018) · npj Quantum Materials · doi:10.1038/s41535-018-0097-0 · Cited by 151
Cuprate superconductors as viewed through a striped lens
Tranquada, J. M. (2020) · Advances in Physics · doi:10.1080/00018732.2021.1935698 · Cited by 84
Xu, H., Shi, H., Vitali, E., Qin, M., & Zhang, S. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.013239 · Cited by 74
Self-citationEarly fault-tolerant simulations of the Hubbard model
Campbell, E. T. (2022) · Quantum Science and Technology · doi:10.1088/2058-9565/ac3110 · Cited by 81
The Shape of Full Configuration Interaction to Come
Eriksen, J. J. (2021) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.0c03225 · Cited by 66
Nonunitary Operations for Ground-State Calculations in Near-Term Quantum Computers
Mazzola, G., Ollitrault, P. J., Barkoutsos, P. K., & Tavernelli, I. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.130501 · Cited by 43
Time evolution of an infinite projected entangled pair state: Neighborhood tensor update
Dziarmaga, J. (2021) · Physical Review B · doi:10.1103/physrevb.104.094411 · Cited by 38
Jiang, S., Scalapino, D. J., & White, S. R. (2023) · Physical Review B · doi:10.1103/physrevb.108.l161111 · Cited by 35
Self-citationDirect sampling of projected entangled-pair states
Vieijra, T., Haegeman, J., Verstraete, F., & Vanderstraeten, L. (2021) · Physical Review B · doi:10.1103/physrevb.104.235141 · Cited by 37
Spiers Memorial Lecture: Quantum chemistry, classical heuristics, and quantum advantage
Chan, G. K.-L. (2024) · Faraday Discussions · doi:10.1039/d4fd00141a · Cited by 20
Self-citation
Metadata
- Authors
- Zheng, B.-X., Chung, C.-M., Corboz, P., Ehlers, G., Qin, M.-P., Noack, R. M., Shi, H., White, S. R., Zhang, S., & Chan, G. K.-L.
- Affiliations
- California Institute of Technology (US)
- University of California, Irvine (US)
- Delta Institute for Theoretical Physics (NL)
- Philipps University of Marburg (DE)
- Department of Physics, The College of William and Mary, Williamsburg, VA 23187, USA.
- William & Mary (US)
- Corresponding author
- Zheng, Bo-Xiao
- Chung, Chia-Min
- Corboz, Philippe
- Ehlers, Georg
- Shi, Hao
- Chan, Garnet Kin-Lic
- ORCID
- Venue
- Science
- Published
- 2017-12
- Volume
- 358
- Issue
- 6367
- Pages
- 1155-1160
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W2568833508
- Cited by
- 606
- References
- 1
- Citations by year
- 2026: 45 · 2025: 77 · 2024: 72 · 2023: 85 · 2022: 70 · 2021: 77 · 2020: 59 · 2019: 70 · 2018: 44 · 2017: 6
- FWCI
- 29.26
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Science (publishedVersion)
- PubMed (publishedVersion)
- UvA-DARE (University of Amsterdam) (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- eScholarship (California Digital Library) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- Data Archiving and Networked Services (DANS) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (award295460, DMR-1505406,DMR-1409510,ACI-1053575)
- U.S. Department of Energy (award295461, DE-SC0008627,DE-SC0008624,DE-AC02-05CH11231)
- Simons Foundation (award295462, 319146,406703)
- H2020 European Research Council (award295463, 677061)
- Deutsche Forschungsgemeinschaft (award295464, 314/5-1)
- Topics
- 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
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Keywords
- stripe order, two-dimensional Hubbard model, underdoped regime, competing orders, high-temperature superconductors
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
