Conductance quantization in topological Josephson trijunctions

Abstract

The Josephson current flowing in a junction between two superconductors is a striking manifestation of macroscopic quantum coherence, with applications in metrology and quantum information. This equilibrium current is related with the formation of Andreev states localized in the junction, whose energy depends periodically on the superconducting phase difference. Topology emerged as a guide for predicting exotic properties of Andreev states. In particular, topological superconductors host Majorana modes at their ends. Then, in a junction with such leads, the hybridization of two Majorana modes results in an Andreev state with a period-doubling of its energy-phase dependence. Furthermore, topologically protected crossings between Andreev states in junctions with more than two leads may be revealed through a quantized transconductance. The prediction motivated recent efforts to fabricate multi-terminal junctions. Here we combine both topological effects to predict a robust non-vanishing quantized transconductance in trijunctions with topological leads. Such devices are envisioned to reveal the anyonic nature of Majorana states through their braiding. Our prediction can be used to assess that a given junction is indeed suitable to perform its braiding function.

10 pages, 9 figures

References in corpus (6)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Topological Andreev bands in three-terminal Josephson junctions
• Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime
• Topological properties of multi-terminal superconducting nanostructures: effect of a continuous spectrum

Cited by in corpus (11)

• Topological Superconductivity Induced by Magnetic Texture Crystals
• Distinguishing between Topological and Quasi Majorana Zero Modes with a Dissipative Resonant Level
• Multi-terminal Josephson junctions: a road to topological flux networks
• Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
• Non-Abelian monopoles in the multiterminal Josephson effect
• Parafermions in a multilegged geometry: Towards a scalable parafermionic network
• Field-Programmable Topological Array: Framework and Case-Studies
• Resonator induced quantum phase transitions in a hybrid Josephson junction
• Multi-locational Majorana Zero Modes
• Majorana Braiding Racetracks from Charge Chern Insulator - Superconductor Hybrids
• Accessing different topological classes and types of Majorana edge states in coupled superconducting platforms using perturbations