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

2009/01/31 by Ehsan Khatami, E. Khatami, A. Macridin +3
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Cuprate #Eigenfunction #Eigenvalues and eigenvectors #Hubbard model #Mathematics #Monte Carlo method #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum Monte Carlo #Quantum mechanics #Solver #Spin (aerodynamics) #Statistical physics #Superconductivity #Symmetry (geometry) #Theoretical and Computational Physics #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.80.172505

published as Phys. Rev. B 80, 172505 (2009) · 5 pages, 4 figures

openalex publication_date 2009/11/25 · arxiv created 2010/01/26 · arxiv updated 2010/02/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations