, Volume 29, Issue 3-4, pp 179-192

Solving the Eliashberg equations by means ofN-point Padé approximants

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Abstract

We study the use ofN-point Padé approximants to analytically continue the complex frequency Green's function from the Matsubara points to the real frequency axis. The method is applied to solutions of the Eliashberg equations and the approximants are compared with tabulated real frequency results. The overall agreement is good. We further show that the method can serve to make imaginary frequency calculations consistent with real frequency calculations by fixing the pseudopotential μ* to the energy gap Δ o .

Nordic Institute for Theoretical Atomic Physics (NORDITA) Fellow 1975–76 at Research Institute for Theoretical Physics, University of Helsinki, Finland.