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

References in corpus (11)

• Evidence for crossed Andreev reflection in superconductor-ferromagnet hybrid structures
• Non-Local Correlations in Normal Metal-Superconducting Systems
• Single fermion manipulation via superconducting phase differences in multiterminal Josephson junctions
• Sign of the crossed conductances at a FSF double interface
• Mesoscopic admittance of a double quantum dot
• Production of non-local quartets and phase-sensitive entanglement in a superconducting beam splitter
• Voltage-induced Shapiro steps in a superconducting multi-terminal structure
• Controllable pi junction in a Josephson quantum-dot device with molecular spin
• Multiple Andreev reflections in hybrid multiterminal junctions
• Superconducting Phase Transistor in Diffusive Four-terminal Ferromagnetic Josephson Junctions
• Proposal for the observation of nonlocal multipair production: the biSQUID

Cited by in corpus (1)

• Simple Floquet-Wannier-Stark-Andreev viewpoint and emergence of low-energy scales in a voltage-biased three-terminal Josephson junction