Validity of the spin-susceptibility "glue" approximation for pairing in the two-dimensional Hubbard model

Details Validity of the spin-susceptibility "glue" approximation for pairing in the two-dimensional Hubbard model Validity of the spin-susceptibility "glue" approximation for pairing in the two-dimensional Hubbard model

2009-01-29

arxiv.org/abs/0901.4802v2

Phys. Rev. B 80, 172505 (2009)

Physics

Condensed Matter

Superconductivity

5 pages, 4 figures

Scientific paper

10.1103/PhysRevB.80.172505

We examine the validity of the weak coupling spin-susceptibility "glue" approximation (SSGA) in a two-dimensional Hubbard model for cuprates. For comparison, we employ the well-established dynamical cluster approximation (DCA) with a quantum Monte Carlo algorithm as a cluster solver. We compare the leading eigenvalues and corresponding eigenfunctions of the DCA and SSGA pairing matrices. For realistic model parameters, we find that the SSGA fails to capture the leading pairing symmetries seen in the DCA. Furthermore, when the SSGA is improved through the addition of a term with d-wave symmetry, the strength of this additional term is found to be larger than that of the "glue" approximation.

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