Vertex-corrected perturbation theory for the electron-phonon problem with non-constant density of states

Details Vertex-corrected perturbation theory for the electron-phonon problem with non-constant density of states Vertex-corrected perturbation theory for the electron-phonon problem with non-constant density of states

1998-06-23

arxiv.org/abs/cond-mat/9806275v1

Phys. Rev. B 58, 11613--11623 (1998)

Physics

Condensed Matter

Superconductivity

31 pages, 15 figures, typeset in ReVTeX

Scientific paper

10.1103/PhysRevB.58.11613

A series of weak-coupling perturbation theories which include the lowest-order vertex corrections are applied to the attractive Holstein model in infinite dimensions. The approximations are chosen to reproduce the iterated perturbation theory in the limit of half-filling and large phonon frequency (where the Holstein model maps onto the Hubbard model). Comparison is made with quantum Monte Carlo solutions to test the accuracy of different approximation schemes.

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