Absence of singular superconducting fluctuation corrections to thermal conductivity
Abstract
We evaluate the superconducting fluctuation corrections to thermal conductivity in the normal state which diverge as T approaches Tc. We find zero total contribution for one, two and three-dimensional superconductors for arbitrary impurity concentration. The method used is diagrammatic many-body theory, and all contributions -- Aslamazov-Larkin (AL), Maki-Thompson (MT), and density-of-states (DOS) -- are considered. The AL contribution is convergent, whilst the divergences of the DOS and MT diagrams exactly cancel.
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