Dresden 2014 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 71: Transport: Majorana Fermions (organized by TT)

TT 71.5: Talk

Wednesday, April 2, 2014, 16:00–16:15, HSZ 03

Fractional Josephson effect in a quadruple quantum dot — •Björn Sothmann, Jian Li, and Markus Büttiker — Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland

A double quantum dot coupled to an s-wave superconductor and subject to an inhomogenous magnetic field can host a pair of zero-energy Majorana fermions when the dot properties are tuned appropriately [1]. Here, we demonstrate the possibility to generate a fractional 4π Josephson effect in two such double dots tunnel-coupled to each other. We discuss the robustness of this effect with respect to perturbations away from the special point in parameter space where the uncoupled doube dots host Majorana fermions. We point out the possibility to generate Josephson effects with a period of 8π and 12π in strongly-coupled double dots.
M. Leijnse and K. Flensberg, Phys. Rev. B 86, 134528 (2012)
B. Sothmann, J. Li, M. Büttiker, New J. Phys. 15, 085018 (2013)