Iterative analytic continuation of the electron self-energy to the real axis

F. Marsiglio, M. Schossmann, and J. P. Carbotte
Phys. Rev. B 37, 4965 – Published 1 April 1988
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Abstract

The electron Green’s function in the superconducting state can be solved either at discrete Matsubara frequencies along the imaginary axis, or as a function of a continuous variable along the real frequency axis. The former is considerably more convenient to calculate than the latter. We derive a formally exact analytic continuation of the imaginary-axis solutions to the real frequency axis. The procedure is applicable to more general problems involving Green’s functions. We apply our method to calculating the tunneling density of states for superconducting lead.

  • Received 25 September 1987

DOI:https://doi.org/10.1103/PhysRevB.37.4965

©1988 American Physical Society

Authors & Affiliations

F. Marsiglio, M. Schossmann, and J. P. Carbotte

  • Department of Physics, McMaster University, Hamilton, Ontario L8S 4M1, Canada

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Issue

Vol. 37, Iss. 10 — 1 April 1988

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