The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
Breakdown of the Landau-Fermi liquid in two dimensions due to umklapp scattering
Open accessAbstract
We study the renormalization-group (RG) flow of interactions in the two-dimensional ${t\ensuremath{-}t}^{\ensuremath{'}}$ Hubbard model near half-filling in an N-patch representation of the whole Fermi surface. Starting from weak to intermediate couplings the flows are to strong coupling, with different characters depending on the choice of parameters. In a large parameter region elastic umklapp scatterings drive an instability which on parts of the Fermi surface exhibits the key signatures of an insulating spin liquid (ISL), as proposed by Furukawa, Rice, and Salmhofer [Phys. Rev. Lett. 81, 3195 (1998)] rather than a conventional symmetry-broken state. The ISL is characterized by both strong d-wave pairing and antiferromagnetic correlations; however, it is insulating due to the vanishing local charge compressibility and a spin liquid because of the spin gap arising from the pairing correlations. We find that the unusual RG flow, which we interpret in terms of an ISL, is a consequence of a Fermi surface close to the saddle points at the Brillouin-zone boundaries which provides an intrinsic and mutually reinforcing coupling between pairing and umklapp channels.
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The pseudogap in high-temperature superconductors: an experimental survey
Timusk, T., & Statt, B. (1999) · Reports on Progress in Physics · doi:10.1088/0034-4885/62/1/002 · Cited by 2,121
Surprises on the Way from One- to Two-Dimensional Quantum Magnets: The Ladder Materials
Dagotto, E., & Rice, T. M. (1996) · Science · doi:10.1126/science.271.5249.618 · Cited by 1,655
Self-citationRenormalization and effective lagrangians
Polchinski, J. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90287-6 · Cited by 1,510
Destruction of the Fermi surface in underdoped high-Tc superconductors
Norman, M. R., Ding, H., Randeria, M., Campuzano, J. C., Yokoya, T., Takeuchi, T., Takahashi, T., Mochiku, T., Kadowaki, K., Guptasarma, P., et al. (1998) · Nature · doi:10.1038/32366 · Cited by 1,036
A Unified Theory Based on SO (5) Symmetry of Superconductivity and Antiferromagnetism
Zhang, S.-C. (1997) · Science · doi:10.1126/science.275.5303.1089 · Cited by 819
New Mechanism for Superconductivity
Kohn, W., & Luttinger, J. M. (1965) · Physical Review Letters · doi:10.1103/physrevlett.15.524 · Cited by 787
The statistical mechanics of lattice gases
Simon, B. (1993) · Cited by 512
Weak-coupling phase diagram of the two-chain Hubbard model
Balents, L., & Fisher, M. P. A. (1996) · Physical Review B · doi:10.1103/physrevb.53.12133 · Cited by 349
Renormalization-group analysis of the two-dimensional Hubbard model
Halboth, C. J., & Metzner, W. (2000) · Physical Review B · doi:10.1103/physrevb.61.7364 · Cited by 326
Weakly correlated electrons on a square lattice: Renormalization-group theory
Zanchi, D., & Schulz, H. J. (2000) · Physical Review B · doi:10.1103/physrevb.61.13609 · Cited by 222
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Metadata
- Authors
- Honerkamp, C., Salmhofer, M., Furukawa, N., & Rice, T. M.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2001-01-02
- Volume
- 63
- Issue
- 3
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2037362143
- Cited by
- 340
- References
- 18
- FWCI
- 12.27
- Type
- journal article
- Language
- en
- Open access
- green
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- Honerkamp, C., Salmhofer, M., Furukawa, N., & Rice, T. M. (2001). Breakdown of the Landau-Fermi liquid in two dimensions due to umklapp scattering. Physical Review B. https://doi.org/10.1103/physrevb.63.035109
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