Dresden 2017 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 33: Transport: Majorana Fermions
TT 33.8: Vortrag
Dienstag, 21. März 2017, 15:45–16:00, HSZ 204
Evolution of the transmission phase through a Coulomb-blockaded proximitised wire — •Casper Drukier1, Bernd Rosenow1, and Yuval Oreg2 — 1University of Leipzig, Leipzig, Germany — 2Weizmann Institute of Science, Rehovot, Israel
We present a study of the transmission of electrons through a semiconductor quantum wire with strong spin-orbit coupling in proximity to an s-wave superconductor, which is Coulomb-blockaded. Such a system supports Majorana bound states in the presence of an external magnetic field, and is of interest due to recent experimental progress and the prospect of quantum information processing.
Without superconductivity, phase lapses are expected to occur in the transmission phase. We find that they disappear when a topological superconducting phase is stabilised. We derive a model, based on an expansion in terms of Bogoliubov quasi-particles, which allows us to express tunneling through the nanowire with the help of effective matrix elements, which depend on both the fermion parity of the wire and the overlap with Bogoliubov-de-Gennes wave-functions. Using the scattering matrix formalism this allows us to study the transmission phase in different regimes.