Josephson response of a conventional and a noncentrosymmetric superconductor coupled via a double quantum dot

Abstract

We consider transport through a Josephson junction consisting of a conventional s-wave superconductor coupled via a double quantum dot to a noncentrosymmetric superconductor with both, singlet and triplet pairing. We calculate the Andreev bound state energies and the associated Josephson current. We demonstrate that the current-phase relation is a sensitive probe of the singlet-triplet ratio in the noncentrosymmetric superconductor. In particular, in the presence of an inhomogeneous magnetic field the system exhibits a $\phi$-junction behavior.

arXiv comment8 pages, 7 figures, published version

References in corpus (47)

• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Supercurrent reversal in quantum dots
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• S-wave/spin-triplet order in superconductors without inversion symmetry: Li${}_2$Pd${}_3$B and Li${}_2$Pt${}_3$B
• Carbon Nanotubes as Cooper Pair Beam Splitters
• Revealing the electronic structure of a carbon nanotube carrying a supercurrent
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• A Quantum Dot in the Kondo Regime Coupled to Superconductors
• Superconductivity in metal rich Li-Pd-B ternary Boride
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Superconductivity in the topological semimetal YPtBi
• Self-consistent description of Andreev bound states in Josephson quantum dot devices
• Theoretical aspects of Andreev spectroscopy and tunneling spectroscopy in non-centrosymmetric superconductors: a topical review
• Multiple Andreev Reflections in a Carbon Nanotube Quantum Dot
• Superconductivity in the noncentrosymmetric half-Heusler compound LuPtBi : A possible topological superconductor
• Spin-Dependent Josephson Current through Double Quantum Dots and Measurement of Entangled Electron States
• Periodic alternating $0,\pi$-junction structures as realization of $\varphi$-Josephson junctions
• Hybrid superconductor-semiconductor devices made from self-assembled SiGe nanocrystals on silicon
• Experimental evidence of a ϕ Josephson junction
• Unconventional superconductivity in weakly correlated, non-centrosymmetric $\mathrm{M}{\mathrm{o}}_3\mathrm{A}{\mathrm{l}}_2\mathrm{C}$
• The Interacting Impurity Josephson Junction: Variational Wavefunctions and Slave Boson Mean Field Theory
• Superconductivity in a single C60 transistor
• Kondo-Enhanced Andreev Tunneling in InAs Nanowire Quantum Dots
• Structure and physical properties of the noncentrosymmetric superconductor Mo3Al2C
• Tuning the Josephson current in carbon nanotubes with the Kondo effect
• Superconducting proximity effect in interacting double-dot systems
• Surface bound states and spin currents in non-centrosymmetric superconductors
• Anomalous Josephson current, incipient time-reversal symmetry breaking, and Majorana bound states in interacting multi-level dots
• Kondo Universal Scaling for a Quantum Dot Coupled to Superconducting Leads
• Andreev bound states and tunneling characteristics of a non-centrosymmetric superconductor
• Josephson junction with magnetic-field tunable ground state
• Spin Supercurrent, Magnetization Dynamics, and Phi-State in Spin-Textured Josephson Junctions
• Unconventional Superconductivity in Double Quantum Dots
• Method for reliable realization of a varphi Josephson junction
• Probing the exchange field of a quantum-dot spin valve by a superconducting lead
• Tunnelling between non-centrosymmetric superconductors with significant spin-orbit splitting studied theoretically within a two-band treatment
• Supercurrent and multiple singlet-doublet phase transitions of a quantum dot Josephson junction inside an Aharonov-Bohm ring
• Josephson Effect in Noncentrosymmetric Superconductor Junctions
• Detecting nonlocal Cooper pair entanglement by optical Bell inequality violation
• Josephson Effect and Triplet--Singlet Ratio of Non--centrosymmetric Superconductors
• Unambiguous probe of parity-mixing of Cooper pairs in noncentrosymmetric superconductors
• Electronic Raman scattering in non-centrosymmetric superconductors
• Using Josephson junctions to determine the pairing state of superconductors without crystal inversion symmetry
• Joint measurement of current-phase relations and transport properties of hybrid junctions using a three junctions SQUID
• Quantum transport signatures of chiral edge states in Sr${}_2$RuO${}_4$
• Spontaneous vortex state and $\phi$-junction in a superconducting bijunction with a localized spin

Cited by in corpus (7)

• Orientation-dependent Josephson effect in spin-singlet superconductor/altermagnet/spin-triplet superconductor junctions
• Cooling by Cooper pair splitting
• Fingerprint of topological Andreev bound states in phase-dependent heat transport
• Transport signatures of an Andreev molecule in a quantum dot -- superconductor -- quantum dot setup
• Orbital tunable 0-$\pi$ transitions in Josephson junctions with noncentrosymmetric topological superconductors
• Non local quantum state engineering with the Cooper pair splitter beyond the Coulomb blockade regime
• High orbital-moment Cooper pairs by crystalline symmetry breaking