%0 Journal Article
%A González Rosado, L.
%A Hassler, F.
%A Catelani, G.
%T Weak localization corrections to the thermal conductivity in s -wave superconductors
%J Physical review / B
%V 101
%N 17
%@ 2469-9950
%C Woodbury, NY
%I Inst.
%M FZJ-2020-01998
%P 174202
%D 2020
%X We study the thermal conductivity in disordered s-wave superconductors. Expanding on previous works for normal metals, we develop a formalism that tackles particle diffusion as well as the weak localization (WL) and weak antilocalization (WAL) effects focusing on the two-dimensional case. Using a Green's functions diagrammatic technique, which takes into account the superconducting nature of the system by working in Nambu space, we identify the system's low-energy modes, the diffuson and the cooperon. The timescales that characterize the diffusive regime are energy dependent; this is in contrast to the normal state, where the relevant timescale is the impurity scattering time τe, independent of energy. The energy dependence introduces a novel energy scale ɛ∗, which for dirty superconductors (τeΔ≪1, with Δ the gap) is given by ɛ∗=√Δ/τe. From the diffusive behavior of the low-energy modes, we obtain the WL correction to the thermal conductivity. We give explicit expressions in two dimensions. We determine the regimes in which the correction depends manifestly on ɛ∗ and propose an optimal regime to verify our results in an experiment. In particular, we find a parametrically large reduction of the weak localization correction in a dirty superconductor, in comparison with its value in the normal state, when the temperature is lowered by 10% below the transition temperature.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000531445400001
%R 10.1103/PhysRevB.101.174202
%U https://juser.fz-juelich.de/record/875387