Absence of singular superconducting fluctuation corrections to thermal conductivity
Douglas R Niven, Robert A Smith (University of Birmingham)
TL;DR
This paper demonstrates that superconducting fluctuation corrections to thermal conductivity cancel out in all dimensions and impurity levels, using diagrammatic many-body theory, showing no net fluctuation effect near T_c.
Contribution
It provides a comprehensive calculation showing the total fluctuation correction to thermal conductivity vanishes, resolving previous ambiguities about divergence contributions.
Findings
Superconducting fluctuation corrections cancel in all dimensions.
Divergences in DOS and MT diagrams exactly offset.
No net fluctuation correction to thermal conductivity near T_c.
Abstract
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.
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