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TT: Fachverband Tiefe Temperaturen

TT 63: Superconductivity: Theory

TT 63.13: Talk

Friday, March 31, 2023, 12:45–13:00, HSZ 103

Transport in superconducting heterostructures: Quasiclassical theory and finite element method — •Kevin Marc Seja and Tomas Löfwander — Department of Microtechnology and Nanoscience - MC2, Chalmers University of Technology, Gothenburg, Sweden

We present results on steady-state transport in mesoscopic conventional and unconventional superconductors coupled to either normal-metal or superconducting reservoirs. Our self-consistent simulations are using nonequilibrium quasiclassical theory in the Eilenberger formulation which allows different order parameter symmetries at arbitrary mean free path. Previously we investigated the thermoelectric effect[1] and spectral rearrangements due to a voltage bias[2] in d-wave superconductors. These studies on nonequilibrium effects assumed translational invariance normal to the transport direction.

This talk will address the question of how to go beyond such quasi one-dimensional models and study superconducting hybrid structures in realistic device geometries. To this end we present a finite element method[3] for the self-consistent solution of the underlying quasiclassical transport equations in dimensions larger than one, and give examples of its application.
[1] Seja & Löfwander, Phys. Rev. B 105, 104506 (2022)
[2] Seja & Löfwander, J. Phys.: Condens. Matter 34, 425301 (2022)
[3] Seja & Löfwander, Phys. Rev. B. 106, 144511 (2022)

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