Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2000-04-27
Phys. Rev. B 63, 024502 (2001)
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 2 Postscript figures
Scientific paper
10.1103/PhysRevB.63.024502
We devise a computational approach to the Hubbard model that captures the strong coupling dynamics arising when the Fermi level is at a Van Hove singularity in the density of states. We rely on an approximate degeneracy among the many-body states accounting for the main instabilities of the system (antiferromagnetism, d-wave superconductivity). The Fermi line turns out to be deformed in a manner consistent with the pinning of the Fermi level to the Van Hove singularity. For a doping rate $\delta \sim 0.2$, the ground state is characterized by d-wave symmetry, quasiparticles gapped only at the saddle-points of the band, and a large peak at zero momentum in the d-wave pairing correlations.
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