Effect of long-range hopping on Tc in a two-dimensional Hubbard-Holstein model of the cuprates

Details Effect of long-range hopping on Tc in a two-dimensional Hubbard-Holstein model of the cuprates Effect of long-range hopping on Tc in a two-dimensional Hubbard-Holstein model of the cuprates

2008-06-24

arxiv.org/abs/0806.3996v2

Phys. Rev. B 78, 060502(R) (2008)

Physics

Condensed Matter

Superconductivity

5 pages, 4 figures

Scientific paper

10.1103/PhysRevB.78.060502

We study the effect of long-range hoppings on Tc for the two-dimensional (2D) Hubbard model with and without Holstein phonons using parameters evaluated from band-structure calculations for cuprates. Employing the dynamical cluster approximation (DCA) with a quantum Monte Carlo (QMC) cluster solver for a 4-site cluster, we observe that without phonons, the long-range hoppings, t' and t'', generally suppress Tc. We argue that this trend remains valid for larger clusters. In the presence of the Holstein phonons, a finite t' enhances Tc in the under-doped region for the hole-doped system, consistent with local-density approximation (LDA) calculations and experiment. This is interpreted through the suppression of antiferromagnetic (AF) correlations and the interplay between polaronic effects and the antiferromagnetism.

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