This title appears in the Scientific Report :
2020
Please use the identifier:
http://dx.doi.org/10.1103/PhysRevB.101.174202 in citations.
Please use the identifier: http://hdl.handle.net/2128/24886 in citations.
Weak localization corrections to the thermal conductivity in s -wave superconductors
Weak localization corrections to the thermal conductivity in s -wave superconductors
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 Gr...
Saved in:
Personal Name(s): | González Rosado, L. |
---|---|
Hassler, F. / Catelani, G. (Corresponding author) | |
Contributing Institute: |
JARA Institut Quanteninformation; PGI-11 |
Published in: | Physical Review B Physical review / B, 101 101 (2020 2020) 17 17, S. 174202 174202 |
Imprint: |
Woodbury, NY
Inst.
2020
|
DOI: |
10.1103/PhysRevB.101.174202 |
Document Type: |
Journal Article |
Research Program: |
Langreichweitige Kopplung von Spin Quantenbits in Supraleiter-Halbleiter Heterostukturen Controlling Spin-Based Phenomena |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/24886 in citations.
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. |