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We study the scattering processes and the associated waiting time distributions (WTDs) in heterostructures based on one-dimensional helical edge states of a two-dimensional topological insulator. In combination with a proximitized s-wave superconductor and an applied magnetic field a topological transition occurs. Along this transition the WTD reveals specific features related to the presence of Andreev bound states at finite energy or Majorana bound states at zero energy under ideal conditions. The effects of several imperfections such as disorder and finite temperature are discussed.
Schulz et al. (2023) studied this question.