Josephson current through a molecular transistor in a dissipative environment

Abstract

We study the Josephson coupling between two superconductors through a single correlated molecular level, including Coulomb interaction on the level and coupling to a bosonic environment. All calculations are done to the lowest, i.e., the fourth, order in the tunneling coupling and we find a suppression of the supercurrent due to the combined effect of the Coulomb interaction and the coupling to environmental degrees of freedom. Both analytic and numerical results are presented.

11 pages, 6 figures, to appear in Phys. Rev. B; v3: several misprints corrected - in particular, sign inconsistencies throughout the paper should be fixed

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• Perturbation theory of a superconducting $0-\pi$ impurity quantum phase transition
• Perturbation theory for an Anderson quantum dot asymmetrically attached to two superconducting leads
• Josephson current through interacting double quantum dots with spin-orbit coupling
• Superconducting transport through a vibrating molecule
• Quantum dot attached to superconducting leads: Relation between symmetric and asymmetric coupling
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• Josephson-phase-controlled interplay between correlation effects and electron pairing in a three-terminal nanostructure
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• Practical Guide to Quantum Phase Transitions in Quantum-Dot-Based Tunable Josephson Junctions
• Phonon Squeezing in a Superconducting Molecular Transistor
• Generalized atomic limit of a double quantum dot coupled to superconducting leads
• Spectral and transport properties of a half-filled Anderson impurity coupled to phase-biased superconducting and metallic leads
• Josephson current in carbon nanotubes with spin-orbit interaction
• Supercurrent through a serial quantum dot close to singlet-triplet degeneracy
• Supercurrent and multiple singlet-doublet phase transitions of a quantum dot Josephson junction inside an Aharonov-Bohm ring
• Josephson effect for SU(4) carbon nanotube quantum dots
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• Charge-vibration interaction effects in normal-superconductor quantum dots
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• Field-free Josephson diode effect in interacting chiral quantum dot junctions
• Double-quantum-dot Andreev molecules: Phase diagrams and critical evaluation of effective models
• Supercurrent through an Andreev trimer
• Adiabatic polaron dynamics and Josephson effect in a superconducting molecular quantum dot
• First order $0/\pi$ quantum phase transition in the Kondo regime of a superconducting carbon nanotube quantum dot
• Unified theory of quantum phase transitions in quantum dots with gapped host bands
• Nanomechanical effects in an Andreev quantum dot
• Many-body perturbation theory for the superconducting quantum dot: Fundamental role of the magnetic field
• Critical Josephson current through a bistable single-molecule junction
• Nano-mechanics driven by Andreev tunneling
• Collapse of the Josephson emission in a carbon nanotube junction in the Kondo regime
• Spin-symmetric solution of an interacting quantum dot attached to superconducting leads: Andreev states and the $0-\pi$ transition
• Pumping and cooling of nanomechanical vibrations generated by Cooper pair exchange