The DOI matches its Crossref record; 32 of the 32 references it cites were found in a registry or an index.
Superconductivity and the Pseudogap in the Two-Dimensional Hubbard Model
Open accessAbstract
Recently developed numerical methods have enabled the explicit construction of the superconducting state of the Hubbard model of strongly correlated electrons in parameter regimes where the model also exhibits a pseudogap and a Mott insulating phase. d(x(2)-y(2)) symmetry superconductivity is found to occur in proximity to the Mott insulator, but separated from it by a pseudogapped nonsuperconducting phase. The superconducting transition temperature and order parameter amplitude are found to be maximal at the onset of the normal-state pseudogap. The emergence of superconductivity from the normal state pseudogap leads to a decrease in the excitation gap. All of these features are consistent with the observed behavior of the copper-oxide superconductors.
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Cites
Possible highT c superconductivity in the Ba?La?Cu?O system
Bednorz, J. G., & M�ller, K. A. (1986) · Zeitschrift f�r Physik B Condensed Matter · doi:10.1007/bf01303701 · Cited by 14,319
Bardeen, J., Cooper, L. N., & Schrieffer, J. R. (1957) · Physical Review · doi:10.1103/physrev.108.1175 · Cited by 13,213
The Resonating Valence Bond State in La 2 CuO 4 and Superconductivity
Anderson, P. W. (1987) · Science · doi:10.1126/science.235.4793.1196 · Cited by 7,719
Importance of phase fluctuations in superconductors with small superfluid density
Emery, V. J., & Kivelson, S. A. (1995) · Nature · doi:10.1038/374434a0 · Cited by 2,094
Continuous-time Monte Carlo methods for quantum impurity models
Gull, E., Millis, A. J., Lichtenstein, A. I., Rubtsov, A. N., Troyer, M., & Werner, P. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.349 · Cited by 1,546
Self-citationMaier, T., Jarrell, M., Pruschke, T., & Hettler, M. H. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.1027 · Cited by 1,310
d -Wave Superconductivity and Pomeranchuk Instability in the Two-Dimensional Hubbard Model
Halboth, C. J., & Metzner, W. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.5162 · Cited by 476
Two gaps make a high-temperature superconductor?
Hüfner, S., Hossain, M. A., Damascelli, A., & Sawatzky, G. A. (2008) · Reports on Progress in Physics · doi:10.1088/0034-4885/71/6/062501 · Cited by 410
Handbook of High-Temperature Superconductivity
(2007) · Springer eBooks · doi:10.1007/978-0-387-68734-6 · Cited by 385
Antiferromagnetism andd-wave superconductivity in cuprates: A cluster dynamical mean-field theory
Lichtenstein, A. I., & Katsnelson, M. I. (2000) · Physical Review B · doi:10.1103/physrevb.62.r9283 · Cited by 378
Cited by
Site-resolved measurement of the spin-correlation function in the Fermi-Hubbard model
Parsons, M. F., Mazurenko, A., Chiu, C. S., Ji, G., Greif, D., & Greiner, M. (2016) · Science · doi:10.1126/science.aag1430 · Cited by 337
Absence of Superconductivity in the Pure Two-Dimensional Hubbard Model
Qin, M., Chung, C.-M., Shi, H., Vitali, E., Hubig, C., Schollwöck, U., White, S. R., Zhang, S., & Simons Collaboration on the Many-Electron Problem (2020) · Physical Review X · doi:10.1103/physrevx.10.031016 · Cited by 298
Quantum Entanglement in Deep Learning Architectures
Levine, Y., Sharir, O., Cohen, N., & Shashua, A. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.065301 · Cited by 206
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
“Answering it has proved to be especially difficult because the ground states of the models have been shown to be exceptionally sensitive to small changes in the model terms and parameters, with competing ( 11 ) or cooperating ( 12 ) charge, spin ( 13 ), and superconducting orders ( 14 – 18 ).”
BackgroundStripe 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
Metadata
- Authors
- Gull, E., Parcollet, O., & Millis, A. J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2013-05-22
- Volume
- 110
- Issue
- 21
- Pages
- 216405-216405
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1998713340
- Cited by
- 317
- References
- 32
- FWCI
- 20.21
- Type
- journal article
- Language
- en
- Open access
- green
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