Perturbation expansion for 2-D Hubbard model

Details Perturbation expansion for 2-D Hubbard model Perturbation expansion for 2-D Hubbard model

2000-10-20

arxiv.org/abs/cond-mat/0010313v1

Physics

Condensed Matter

Strongly Correlated Electrons

17 pages, 11 Postscript figures, Phys. Rev. B, accepted

Scientific paper

10.1103/PhysRevB.63.035104

We develop an efficient method to calculate the third-order corrections to the self-energy of the hole-doped two-dimensional Hubbard model in space-time representation. Using the Dyson equation we evaluate the renormalized spectral function in various parts of the Brillouin zone and find significant modifications with respect to the second-order theory even for rather small values of the coupling constant U. The spectral function becomes unphysical for $ U \simeq W $, where W is the half-width of the conduction band. Close to the Fermi surface and for U

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