Physics – Condensed Matter
Scientific paper
1995-07-14
Phys. Rev. B 52, 16 255 - 16 263 (1995) (9 pages).
Physics
Condensed Matter
Revtex, 8 pages + 15 uuencoded postcript figures
Scientific paper
10.1103/PhysRevB.52.16255
A combination of analytical approaches and quantum Monte Carlo simulations is used to study both magnetic and pairing correlations for a version of the Hubbard model that includes second-neighbor hopping $t^{\prime }=-0.35t$ as a model for high-temperature superconductors. Magnetic properties are analyzed using the Two-Particle Self-Consistent approach. The maximum in magnetic susceptibility as a function of doping appears both at finite $% t^{\prime }$ and at $t^{\prime }=0$ but for two totally different physical reasons. When $t^{\prime }=0$, it is induced by antiferromagnetic correlations while at $t^{\prime }=-0.35t$ it is a band structure effect amplified by interactions. Finally, pairing fluctuations are compared with $% T $-matrix results to disentangle the effects of van Hove singularity and of nesting on superconducting correlations. The addition of antiferromagnetic fluctuations increases slightly the $d$-wave superconducting correlations despite the presence of a van Hove singularity which tends to decrease them in the repulsive model. Some aspects of the phase diagram and some subtleties of finite-size scaling in Monte Carlo simulations, such as inverted finite-size dependence, are also discussed.
Chen Liang
Dare Anne-Marie
Tremblay A. M. -S.
Veilleux Alain F.
Vilk Y. M.
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