Josephson current in a four terminal superconductor - exciton condensate - superconductor system

Abstract

We investigate the transport properties of a bilayer exciton condensate that is contacted by four superconducting leads. We focus on the equilibrium regime and investigate how the Josephson currents induced in the bilayer by phase biases applied to the superconducting electrodes are affected by the presence of an exciton condensate in the bulk of the system. As long as the distance between the superconducting electrodes is much larger than the exciton coherence length, the Josephson current depends only on the difference between the phase biases in the two layers. This result holds true in both short- and long-junction limits. We relate it to a novel correlated four-particle Andreev process which occurs at the superconductor - exciton condensate interface. The system we investigate provides an implementation of the supercurrent mirror proposed by Kitaev as a viable way to realize topologically protected qubits.

23 pages, 6 figures, final version accepted by PRB

References in corpus (16)

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• Exciton condensate at a total filling factor of 1 in Corbino 2D electron bilayers

Cited by in corpus (17)

• Electron-hole pairing in graphene-GaAs heterostructures
• Lattice model for the surface states of a topological insulator with applications to magnetic and exciton instabilities
• Spectrum and Coherence Properties of the Current-Mirror Qubit
• Andreev reflection at the edge of a two-dimentional semimetal
• Excitonic condensation in spatially separated one-dimensional systems
• Generalized parafermions and non-local Josephson effect in multi-layer systems
• Nanotransformation and current fluctuations in exciton condensate junctions
• Holographic D3-probe-D5 Model of a Double Layer Dirac Semimetal
• Coherent exciton transport in semiconductors
• Transport properties of an electron-hole bilayer/superconductor hybrid junction
• Phase structure of a holographic double monolayer Dirac semimetal
• Quantum Enhanced Josephson Junction Field-Effect Transistors for Logic Applications
• Quantum Transport Properties of an Exciton Insulator/Superconductor Hybrid Junction
• Current noise and higher order fluctuations in semiconducting bilayer systems
• Excitonic gap generation in thin-film topological insulators
• Role of the compensating current in the weak Josphson coupling regime: An extended study on excitonic Josephson junctions
• Interlayer current near the edge of an InAs/GaSb double quantum well in proximity with a superconductor