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@ARTICLE{GonzlezRosado:875387,
      author       = {González Rosado, L. and Hassler, F. and Catelani, G.},
      title        = {{W}eak localization corrections to the thermal conductivity
                      in s -wave superconductors},
      journal      = {Physical review / B},
      volume       = {101},
      number       = {17},
      issn         = {2469-9950},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2020-01998},
      pages        = {174202},
      year         = {2020},
      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.},
      cin          = {PGI-11},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-11-20170113},
      pnm          = {142 - Controlling Spin-Based Phenomena (POF3-142) / DFG
                      project 387689860 - Langreichweitige Kopplung von Spin
                      Quantenbits in Supraleiter-Halbleiter Heterostukturen},
      pid          = {G:(DE-HGF)POF3-142 / G:(GEPRIS)387689860},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000531445400001},
      doi          = {10.1103/PhysRevB.101.174202},
      url          = {https://juser.fz-juelich.de/record/875387},
}