Absence of singular superconducting fluctuation corrections to thermal conductivity

We evaluate the superconducting fluctuation corrections to thermal conductivity in the normal state, which diverge as T approaches $T_c.$ 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.