Josephson current through a long quantum wire

Abstract

The dc Josephson current through a long SNS junction receives contributions from both Andreev bound states localized in the normal region as well as from scattering states incoming from the superconducting leads. We show that in the limit of a long junction, this current, at low temperatures, can be expressed entirely in terms of properties of the Andreev bound states at the Fermi energy: the normal and Andreev reflection amplitudes at the left-hand and at the right-hand S-N interface. This has important implications for treating interactions in such systems.

25 pages, 5 figures

References in corpus (4)

• Andreev scattering and Josephson current in a one-dimensional electron liquid
• Critical Josephson current in ballistic superconductor-graphene systems
• Equilibrium and time-dependent Josephson current in one-dimensional superconducting junctions
• Interaction-induced Renormalization of Andreev Reflection

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• Junction of three off-critical quantum Ising chains and two-channel Kondo effect in a superconductor
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• Dual fermionic variables and renormalization group approach to junctions of strongly interacting quantum wires
• Green's Function Approach to Josephson Dot Dynamics and Application to Quantum Mpemba Effects
• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
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• High critical temperature nodal superconductors as building block for time-reversal invariant topological superconductivity
• Many-body quantum dynamics of spin-orbit coupled Andreev states in a Zeeman field
• Ballistic SNS sandwich as a Josephson junction
• Negative critical currents in single-channel Josephson junctions