Quartets and the Current-Phase Structure of a Double Quantum Dot Superconducting Bijunction at Equilibrium

Abstract

The equilibrium current-phase structure of a tri-terminal superconducting Josephson junction (bijunction) is analyzed as a function of the two relevant phases. The bijunction is made of two noninteracting quantum dots, each one carrying a single level. Nonlocal processes coupling the three terminals are described in terms of quartet tunneling and pair cotunneling. These couplings are due to nonlocal Andreev and cotunneling processes through the central superconductor $S_0$, as well as direct interdot coupling. In some cases, two degenerate midgap Andreev states appear, symmetric with respect to the ($\pi ,\pi$) point. The lifting of this degeneracy by interdot couplings induces a strong non-local inductance at low enough temperatures. This effect is compared to the mutual inductance of a two-loop circuit.

9 pages, 8 figures

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Cited by in corpus (10)

• Nonlocal Josephson effect in Andreev molecules
• Observation of nonlocal Josephson effect on double InAs nanowires
• Josephson Diode Effect in Andreev Molecules
• Closing the proximity gap in a metallic Josephson junction between three superconductors
• Simple Floquet-Wannier-Stark-Andreev viewpoint and emergence of low-energy scales in a voltage-biased three-terminal Josephson junction
• A quantum interferometer for quartets in superconducting three-terminal Josephson junctions
• Partially resummed perturbation theory for multiple Andreev reflections in a short three-terminal Josephson junction
• Cooper quartets in interacting hybrid superconducting systems
• Cross-correlations in a quantum dot Cooper pair splitter with ferromagnetic leads
• Quartet Tomography in Multiterminal Josephson Junctions