Phase dependent Andreev spectrum in a difusive SNS junction. Static and dynamic current response

Abstract

A long phase coherent normal (N) wire between superconductors (S) is characterized by a dense phase dependent Andreev spectrum. We investigate the current response of Andreev states of an NS ring to a time dependent Aharonov Bohm flux superimposed to a dc one. The ring is modeled with a tight binding Hamiltonian including a superconducting region with a BCS coupling between electron and hole states, in contact with a normal region with on site disorder. Both dc and ac currents are determined from the computed eigenstates and energies using a Kubo formula approach. Beside the well known Josephson current we identify different contributions to the ac response. A low frequency one related to the dynamics of the thermal occupations of the Andreev states and a higher frequency one related to microwave induced transitions between levels. Both are characterized by strongly anharmonic phase dependencies which are nearly opposite to one another. Our findings are successfully compared to the results of recent experiments.

References in corpus (4)

• Phase controlled superconducting proximity effect probed by tunneling spectroscopy
• Frequency-dependent admittance of a short superconducting weak link
• Dissipation and supercurrent fluctuations in a diffusive NS ring
• Linear AC Response of Diffusive SNS Junctions

Cited by in corpus (19)

• Ballistic edge states in Bismuth nanowires revealed by SQUID interferometry
• Dynamic current susceptibility as a probe of Majorana bound states in nanowire-based Josephson junctions
• Zeeman and spin-orbit effects in the Andreev spectra of nanowire junctions
• Full range of proximity effect probed with Superconductor/Graphene/Superconductor junctions
• Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
• Microwave signature of robust topological Andreev-level crossings in superconducting proximitized crystalline Bi nanowires
• Phase-dependent microwave response of a graphene Josephson junction
• Andreev spectrum with high spin-orbit interactions: revealing spin splitting and topologically protected crossings
• Zero-frequency supercurrent susceptibility signatures of trivial and topological zero-energy states in nanowire junctions
• Josephson effect in topological superconducting rings coupled to a microwave cavity
• Flip-chip-based microwave spectroscopy of Andreev bound states in a planar Josephson junction
• Coherence-enhanced, phase-dependent dissipation in long SNS Josephson junctions: revealing Andreev Bound States dynamics
• Nonadiabatic Dynamics of Strongly Driven Diffusive Josephson Junctions
• Admittance of a long diffusive SNS junction
• Phase-dependent dissipation and supercurrent of a graphene-superconductor ring under microwave irradiation
• Nonreciprocal Josephson linear response
• Microwave Admittance of Gold-Palladium Nanowires with Proximity-Induced Superconductivity
• Dynamical response of dissipative helical edge states
• Phase-dependent supercurrent and microwave dissipation of HgTe quantum well Josephson junctions