Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions

Abstract

We investigate the electronic transport properties of a superconductor-quantum dot-superconductor Josephson junction coupled to a ferromagnetic metal reservoir in the presence of an external magnetic field. The device is described by an effective non-Hermitian Hamiltonian, whose complex eigenvalues encode the energy (real part) and the broadening (imaginary part) of the Andreev quasi-bound states. When extending the Andreev current formula to the non-Hermitian case, a novel contribution arises that is proportional to the phase derivative of the levels broadening. This term becomes particularly relevant in the presence of exceptional points (EPs) in the spectrum, but its experimental detection is not straightforward. We identify optimal Andreev spectrum configurations where this novel current contribution can be clearly highlighted, and we outline an experimental protocol for its detection. We point out that the phase dependence in the levels imaginary part originates from the breaking of a time-reversal-like symmetry. In particular, spectral configurations in the broken phase of the symmetry and without EPs can be obtained, where this novel contribution can be easily resolved. The proposed protocol would allow to probe for the first time a fingerprint of non-Hermiticity in open junctions that is not strictly related to the presence of EPs.

arXiv commentReview, main text 10 pages, appendices 6 pages, 10 figures. Comments are welcome

References in corpus (100)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Making Sense of Non-Hermitian Hamiltonians
• Edge states and topological invariants of non-Hermitian systems
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Symmetry and Topology in Non-Hermitian Physics
• Topological Band Theory for Non-Hermitian Hamiltonians
• Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
• Half-metallic ferromagnets: From band structure to many-body effects
• Loss-induced suppression and revival of lasing
• Topological energy transfer in an optomechanical system with exceptional points
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Lasing in topological edge states of a 1D lattice
• Spawning rings of exceptional points out of Dirac cones
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• A spin triplet supercurrent through the half-metallic ferromagnet CrO2
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Spin-resolved Andreev levels and parity crossings in hybrid superconductor-semiconductor nanostructures
• Spin-polarized supercurrents for spintronics: a review of current progress
• Hamiltonian approach to the transport properties of superconducting quantum point contacts
• Universal non-Hermitian skin effect in two and higher dimensions
• Non-Hermitian Topological Sensors
• Triplet supercurrents in clean and disordered half-metallic ferromagnets
• Non-Hermitian topological phenomena: A review
• Revealing the electronic structure of a carbon nanotube carrying a supercurrent
• Macroscopic quantum self-trapping and Josephson oscillations of exciton-polaritons
• Experimental realization of a Weyl exceptional ring
• PT symmetry and spontaneous symmetry breaking in a microwave billiard
• Majorana bound states from exceptional points in non-topological superconductors
• Coherent Oscillations in an Exciton-Polariton Josephson Junction
• Self-consistent description of Andreev bound states in Josephson quantum dot devices
• Exciting Andreev pairs in a superconducting atomic contact
• Anomalous Josephson current through a spin-orbit coupled quantum dot
• Kinky Behavior in Josephson Junctions
• Parity-time-symmetric topological superconductor
• Transport Through Andreev Bound States in a Graphene Quantum Dot
• Non-Hermitian topology: a unifying framework for the Andreev versus Majorana states controversy
• Measurement of the current-phase relation of superconducting atomic contacts
• Spin-dependent Cooper Pair Phase and Pure Spin Supercurrents in Strongly Polarized Ferromagnets
• Hall Conductance of a Non-Hermitian Chern Insulator
• Kondo effect in Normal-Superconductor Quantum Dots
• Tunnelling Spectroscopy of Andreev States in Graphene
• Non-Hermitian Weyl Physics in Topological Insulator Ferromagnet Junctions
• Relating Andreev Bound States and Supercurrents in Hybrid Josephson Junctions
• Observation of non-Hermitian topology with non-unitary dynamics of solid-state spins
• Quasi PT-symmetry in passive photonic lattices
• Spin Orbit coupling and Anomalous Josephson effect in Nanowires
• Andreev bound states probed in three-terminal quantum dots
• Non-reciprocal transport of Exciton-Polaritons in a non-Hermitian chain
• Loss of Hall Conductivity Quantization in a Non-Hermitian Quantum Anomalous Hall Insulator
• Supercurrent Spectroscopy of Andreev States
• Synthetic band-structure engineering in polariton crystals with non-Hermitian topological phases
• 0-$\pi$ quantum transition in a carbon nanotube Josephson junction: universal phase dependence and orbital degeneracy
• Optomechanical interactions in non-Hermitian photonic molecules
• Spectroscopy of spin-split Andreev levels in a quantum dot with superconducting leads
• Resonant and inelastic Andreev tunneling observed on a carbon nanotube quantum dot
• Triplet Cooper pairs induced in diffusive s-wave superconductors interfaced with strongly spin-polarized magnetic insulators or half-metallic ferromagnets
• Exceptional odd-frequency pairing in non-Hermitian superconducting systems
• Anomalous Josephson Effect in S/SO/F/S heterostructures
• Generalized quasiclassical theory of the long-range proximity effect and spontaneous currents in superconducting heterostructures with strong ferromagnets
• Controllable pi junction in a Josephson quantum-dot device with molecular spin
• Nonreciprocal Charge and Spin Transport Induced by Non-Hermitian Skin Effect in Mesoscopic Heterojunctions
• Coexistence and tuning of spin-singlet and triplet transport in spin-filter Josephson junctions
• Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
• Non-equilibrium supercurrent through a quantum dot: current harmonics and proximity effect due to a normal metal lead
• X-shaped and Y-shaped Andreev resonance profiles in a superconducting quantum dot
• Non-Hermitian phase-biased Josephson junctions
• Microwave spectroscopy of interacting Andreev spins
• Bulk Bogoliubov Fermi arcs in non-Hermitian superconducting systems
• Current-voltage characteristics of the N-I-PT-symmetric non-Hermitian superconductor junction as a probe of non-Hermitian formalisms
• Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Josephson effect in a junction coupled to an electron reservoir
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Non-hermitian topology in multiterminal superconducting junctions
• Non-Hermitian multiterminal phase-biased Josephson junctions
• Exceptional degeneracies in non-Hermitian Rashba semiconductors
• Signature of PT-symmetric non-Hermitian superconductivity in angle-resolved photoelectron fluctuation spectroscopy
• Engineered Josephson diode effect in kinked Rashba nanochannels
• Topological superconductivity enhanced by exceptional points
• Non-Hermitian zero-energy pinning of Andreev and Majorana bound states in superconductor-semiconductor systems
• Probing Topological Superconductivity of oxide nanojunctions using fractional Shapiro steps
• Andreev bound states in junctions formed by conventional and $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian superconductors
• Non-Hermitian minimal Kitaev chains
• Weyl singularities in polaritonic multi-terminal Josephson junctions
• Proximity effect in a ferromagnetic semiconductor with spin-orbit interactions
• Extraordinary Temperature Dependence of the Resonant Andreev Reflection
• Spin-filtered measurements of Andreev bound states
• Joint measurement of current-phase relations and transport properties of hybrid junctions using a three junctions SQUID
• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Parametric amplification of topological interface states in synthetic Andreev bands
• Non-Hermitian superconducting diode effect
• Exciton-polariton ring Josephson junction
• Andreev spin-noise detector
• Signatures of exceptional points in multiterminal superconductor-normal metal junctions
• Exceptional Andreev spectrum and supercurrent in p-wave non-Hermitian Josephson junctions
• Non-Hermitian skin effect and electronic nonlocal transport
• Non-Hermitian Josephson junctions with four Majorana zero modes
• Programmable non-Hermitian photonic quantum walks via dichroic metasurfaces