Dresden 2014 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 75: Transport: Majorana fermions (organized by TT)

HL 75.2: Talk

Wednesday, April 2, 2014, 15:15–15:30, HSZ 03

Supersymmetry in the Majorana Cooper pair box — •Jascha Ulrich and Fabian Hassler — Institut für Quanteninformation, RWTH Aachen

Over the years, supersymmetric quantum mechanics (SUSY QM) has evolved from a toy model of high energy physics to a research direction of its own. Although many examples of SUSY QM systems have been found, systems that can be naturally realized are generally scarce. In this work, we argue that the interaction of fermionic subgap Majorana bound states with the underlying Cooper pair condensate provides a natural setting for SUSY QM. We show that the extension of the conventional Cooper pair box by an anomalous Majorana-Josephson coupling realizes SUSY QM for certain values of gate voltage and Josephon/Majorana-Josephson coupling ratio. We show that the resulting degeneracy of all subgap energy levels can be probed directly in a tunneling experiment and discuss the various transport signatures. An observation of the predicted level degeneracy would provide evidence for the presence of a Majorana-induced anomalous Josephson coupling.