Time-dependent Andreev reflection

Abstract

We extend the basic theory of Andreev reflection (AR) in a normal metal/superconductor junction to the situation with an arbitrary time-dependent bias voltage $V(t)$ across the junction. The central element of the theory is the fact that the Fourier transform of the AR amplitude has a casual structure. As an example, the theory is used to describe the current response to short pulses of the bias voltage, which create coherent superposition of quasiparticle states with different energies. The current oscillates in time, with the gap frequency $\Delta /\hslash$, and also as a function of the pulse area $\int V(t)dt$, with the period of the single-electron flux quantum $e/h$.

6 pages, 3 figures

References in corpus (32)

• Andreev reflection and Klein tunneling in graphene
• Andreev Reflection In Ferromagnet-Superconductor Junctions
• Hamiltonian approach to the transport properties of superconducting quantum point contacts
• AC JOSEPHSON EFFECT IN A SINGLE QUANTUM CHANNEL
• Quantum supercurrent transistors in carbon nanotubes
• Josephson Current and Multiple Andreev Reflections in Graphene SNS Junctions
• Interference of two electrons entering a superconductor
• Superconductor Digital Electronics: Scalability and Energy Efficiency Issues
• Specular Interband Andreev Reflections in Graphene
• Multiple Andreev Reflections in a Carbon Nanotube Quantum Dot
• Subgap Conductivity of a Superconducting-Normal Tunnel Interface
• Non-equilibrium Josephson effect through helical edge states
• Supercurrent noise in quantum point contacts
• Full counting statistics of multiple Andreev reflections
• Andreev Current-Induced Dissipation in a Hybrid Superconducting Tunnel Junction
• Andreev Reflection Enhanced Shot Noise in Mesoscopic SNS Junctions
• Real-time observation of discrete Andreev tunneling events
• Charge of a quasiparticle in a superconductor
• Microscopic nonequilibrium theory of double-barrier Josephson junctions
• Non-equilibrium current noise in mesoscopic disordered SNS junctions
• Giant shot noise from Majorana zero modes in topological trijunctions
• Electron cooling by diffusive normal metal - superconductor tunnel junctions
• Phase Coherence and Andreev Reflection in Topological Insulator Devices
• Full counting statistics of multiple Andreev reflection
• Andreev current enhancement and subgap conductance of superconducting hybrid structures in the presence of a small spin-splitting field
• Andreev bound states formation and quasiparticle trapping in quench dynamics revealed by time-dependent counting statistics
• Gate-tunable supercurrent and multiple Andreev reflections in a superconductor-topological insulator nanoribbon-superconductor hybrid device
• Response time of a normal-superconductor hybrid system under the step-like pulse bias
• Enhanced shot noise of multiple Andreev reflections in a carbon nanotube quantum dot in SU(2) and SU(4) Kondo regimes
• How long does it take to form the Andreev quasiparticles ?
• Shot noise and Coulomb blockade of Andreev reflection
• PELTIER EFFECT IN NS MICROCONTACTS

Cited by in corpus (7)

• Multi-particle interference in an electronic Mach-Zehnder interferometer
• Transient dynamics of a magnetic impurity coupled to superconducting electrodes: exact numerics versus perturbation theory
• Joule heating effects in high transparency Josephson junctions
• Gap resonance in the classical dynamics of the current-biased Josephson tunnel junctions
• Wigner representation of Andreev-reflected charge pulses
• Floquet-Nambu theory of electron quantum optics with superconductors
• On-Demand and Tunable Andreev-Conversion of Single-Electron Charge Pulses