Multi-terminal Josephson junctions: a road to topological flux networks

Abstract

Multi-terminal Josephson junctions were recently proposed as a versatile and tunable platform to emulate topological Bloch-like Hamiltonians in arbitrary dimensions. In this perspective article, we will give a brief overview of the subject and recognize these mesoscopic devices as realizations of topological flux networks as the ones envisioned by J. E. Avron and coworkers in their seminal works on the early days of the quantum Hall effect. We summarize the current state-of-the-art theoretical and experimental research regarding these Josephson devices, highlighting recent developments and giving an outlook on current trends.

7 pages, 5 figures

References in corpus (4)

• Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime
• The Cooper Pair Pump as a Quantized Current Source
• Selective Control of Conductance Modes in Multi-terminal Josephson Junctions
• Topological properties of multi-terminal superconducting nanostructures: effect of a continuous spectrum

Cited by in corpus (17)

• Non-hermitian topology in multiterminal superconducting junctions
• Quantum circuits with multiterminal Josephson-Andreev junctions
• Non-Hermitian multiterminal phase-biased Josephson junctions
• A quantum interferometer for quartets in superconducting three-terminal Josephson junctions
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Proposal for detecting the $\pi -$shifted Cooper quartet supercurrent
• Hidden symmetry in interacting-quantum-dot-based multi-terminal Josephson junctions
• Ground state topology of a four-terminal superconducting double quantum dot
• Spectral Signatures of Non-Trivial Topology in a Superconducting Circuit
• Fractional transconductance via non-adiabatic topological Cooper pair pumping
• Magnetointerferometry of multiterminal Josephson junctions
• Self-heating effects and switching dynamics in graphene multiterminal Josephson junctions
• Full tomography of topological Andreev bands in graphene Josephson junctions
• Exploring the energy spectrum of a four-terminal Josephson junction: Towards topological Andreev band structures
• Nonequilibrium Andreev resonances in ballistic graphene Andreev interferometers
• Fabrication Optimization of Suspended Stencil Mask Lithography for Multi-Terminal Josephson Junctions
• Multiterminal Josephson junctions with tunable topological properties