Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 108: Topological Superconductors

TT 108.9: Talk

Friday, March 16, 2018, 11:45–12:00, H 2053

Waiting time distributions for hybrid junctions with topological superconductors — •Pablo Burset, Shuo Mi, and Christian Flindt — Department of Applied Physics, Aalto University, Finland

Electron waiting times are an important tool for analyzing the internal dynamics of nano-scale conductors. Here we investigate the waiting time distributions (WTDs) of superconducting hybrid junctions. We consider both conventional and topologically nontrivial superconductors, with the latter hosting Majorana bound states (MBS) at their edges. We develop a scattering matrix formalism for the WTD in multi-channel, multi-terminal scatterers. The multi-channel WTDs allow us to characterize Andreev processes that entangle electrons and holes. Using our multi-terminal approach, we analyze (i) normal-superconductor (NS) junctions featuring Andreev bound states at the NS interface, and (ii) NSN junctions where Cooper pairs can be spatially split into different leads. In both cases, we include a resonant cavity at the NS interfaces that acts as a non-interacting quantum dot. The presence of Andreev bound states in the cavities leads to oscillations of the WTD and a finite probability of a simultaneous detection of electrons and holes, which always appears for topological superconductors due to the presence of the MBS.