Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime

Lucila Peralta Gavensky; Gonzalo Usaj; C. A. Balseiro

doi:10.1103/PhysRevB.100.014514

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Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime

Lucila Peralta Gavensky, Gonzalo Usaj, C. A. Balseiro

DOI 10.1103/PhysRevB.100.014514 · Physical Review B

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Abstract

We study the evolution of averaged transconductances in three-terminal Josephson junctions when the superconducting leads are led throughout a topological phase transition from an s-wave to a p-wave (Majorana) phase by an in-plane magnetic field Bx. We provide a complete description of this transition as a function of Bx and a magnetic flux Φ threading the junction. For that we use a spinful model within a formalism that allows us to treat on an equal footing the contribution to the transconductance from both the Andreev subgap levels and the continuum spectrum. We unveil a fractionalization in the quantization of the transconductance due to the presence of Majorana quasiparticles, reflecting the effective pumping of half a Cooper pair charge in the p-wave regime.