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Self-consistent T-matrix theory of superconductivity

B. Šopík, P. Lipavský, M. Männel, K. Morawetz, P. Matlock

DOI 10.1103/PhysRevB.84.094529 · Physical Review B

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Abstract

Using principles of the Fadeev-Lovelace-Watson multiple scattering expansion, a T-matrix approximation is derived which coincides with the Galitskii-Feynman T matrix in the normal state and yields the gap in the superconducting state. Unlike other T-matrix approaches, the theory satisfies not only the self-consistent Thouless criterion but also the Baym-Kadanoff conditions for a conserving theory in equilibrium. In single-mode approximation it simplifies to the Eliashberg theory.

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