TY  - JOUR
AU  - González Rosado, L.
AU  - Hassler, F.
AU  - Catelani, G.
TI  - Weak localization corrections to the thermal conductivity in s -wave superconductors
JO  - Physical review / B
VL  - 101
IS  - 17
SN  - 2469-9950
CY  - Woodbury, NY
PB  - Inst.
M1  - FZJ-2020-01998
SP  - 174202
PY  - 2020
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000531445400001
DO  - DOI:10.1103/PhysRevB.101.174202
UR  - https://juser.fz-juelich.de/record/875387
ER  -