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

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 $B_x$. We provide a complete description of this transition as a function of $B_x$ and a magnetic flux $\Phi$ threading the junction. For that we use a spinful model within a formalism that allows to treat on 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.

6 pages, 4 figures and Supplementary Information. (Figure labels fixed)

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• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
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• Ground state topology of a four-terminal superconducting double quantum dot
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• Fractional transconductance via non-adiabatic topological Cooper pair pumping
• Field-Programmable Topological Array: Framework and Case-Studies
• Nonequilibrium Andreev resonances in ballistic graphene Andreev interferometers
• Multiterminal Josephson junctions with tunable topological properties
• Theory of Berry Singularity Markers: Diagnosing Topological Phase Transitions via Lock-In Tomography