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Low-energy transport theory of hybrid topologically superconducting devices

Subject Area Theoretical Condensed Matter Physics
Term from 2016 to 2021
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 322948903
 
Final Report Year 2021

Final Report Abstract

In this project, different geometries of nanoscopic devices have been theoretically investigated, which include topologically superconducting wires and normal or conventional superconducting electrodes. In this context, the topologically nontrivial wires are characterized by the existence of exotic Majorana modes at the edge, the detection of which is currently a central problem in solid-state physics. The investigated multiterminal geometries allow to extract clear experimental signatures for Majorana states by determining the current-phase relation (in equilibrium) or the current-voltage characteristics or the current noise (in non-equilibrium). In addition, we investigated the case of a magnetic quantum dot in the condor regime coupled either to two conventional superconductors or to one conventional and one topological superconductor. Here, our generalization of the Nozières-Fermi liquid theory to superconducting systems provides a powerful method for theoretical work on condo effects in superconductors.

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