Journal Article

FZJ-2020-01998

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Weak localization corrections to the thermal conductivity in s -wave superconductors

González Rosado, L. ; Hassler, F. ; Catelani, G. (Corresponding author)FZJ*

2020
Inst. Woodbury, NY

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Please use a persistent id in citations: http://hdl.handle.net/2128/24886  doi:10.1103/PhysRevB.101.174202

Abstract: 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.

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Contributing Institute(s):

1. JARA Institut Quanteninformation (PGI-11)

Research Program(s):

1. 142 - Controlling Spin-Based Phenomena (POF3-142) (POF3-142)
2. DFG project 387689860 - Langreichweitige Kopplung von Spin Quantenbits in Supraleiter-Halbleiter Heterostukturen (387689860)

Appears in the scientific report 2020

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Web of Science Core Collection

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