Full counting statistics of Andreev scattering in an asymmetric chaotic cavity
arXiv:cond-mat/0412320 · doi:10.1103/PhysRevB.72.134522
Abstract
We study the charge transport statistics in coherent two-terminal double junctions within the framework of the circuit theory of mesoscopic transport. We obtain the general solution of the circuit-theory matrix equations for the Green's function of a chaotic cavity between arbitrary contacts. As an example we discuss the full counting statistics and the first three cumulants for an open asymmetric cavity between a superconductor and a normal-metal lead at temperatures and voltages below the superconducting gap. The third cumulant shows a characteristic sign change as a function of the asymmetry of the two quantum point contacts, which is related to the properties of the Andreev reflection eigenvalue distribution.
arXiv comment8 pages, 4 figures
References in corpus (33)
- Shot Noise in Mesoscopic Conductors
- Random-Matrix Theory of Quantum Transport
- Electron Counting Statistics and Coherent States of Electric Current
- Novel Circuit Theory of Andreev Reflection
- Environmental effects in the third moment of voltage fluctuations in a tunnel junction
- Electron shot noise beyond the second moment
- Full counting statistics of electron transfer between superconductors
- The 1/3-shot noise suppression in diffusive nanowires
- Universal Statistics of Transport in Disordered Conductors
- Doubled Shot Noise In Disordered Normal-Metal-Superconductor Junctions
- Full Counting Statistics of a Superconducting Beam Splitter
- Full Current Statistics in Diffusive Normal-Superconductor Structures
- Chaotic dot-superconductor analog of the Hanbury Brown Twiss effect
- Shot Noise by Quantum Scattering in Chaotic Cavities
- Doubled Full Shot Noise in Quantum Coherent Superconductor - Semiconductor Junctions
- Circuit Theory for Full Counting Statistics in Multi-Terminal Circuits
- Cascade Boltzmann - Langevin approach to higher-order current correlations in diffusive metal contacts
- Universality of Shot-Noise in Multiterminal Diffusive Conductors
- Semi-classical Theory of Conductance and Noise in Open Chaotic Cavities
- Semiclassical theory of shot noise in disordered SN contacts
- Effective charges and statistical signatures in the noise of normal metal--superconductor junctions at arbitrary bias
- Semiclassical theory of current correlations in chaotic dot-superconductor systems
- Cascade approach to current fluctuations in a chaotic cavity
- Shot-noise and conductance measurements of transparent superconductor / two-dimensional electron gas junctions
- Reflectionless tunneling in ballistic normal-metal--superconductor junctions
- Full counting statistics of incoherent Andreev transport
- Shot noise of series quantum point contacts intercalating chaotic cavities
- Finite voltage shot noise in normal-metal - superconductor junctions
- Subgap noise of a superconductor-normal-metal tunnel interface
- Energy dependent counting statistics in diffusive superconducting tunnel junctions
- Shot noise measurements in NS junctions and the semiclassical theory
- Energy dependence of current noise in superconducting/normal metal junctions
- Andreev reflection eigenvalue density in mesoscopic conductors
Cited by in corpus (5)
- Circuit theory of crossed Andreev reflection
- Transport Statistics of Interacting Double Dot Systems: Coherent and Non-Markovian Effects
- Quasiparticle transport in arrays of chaotic cavities
- Energy dependence of current noise in double-barrier normal-superconducting structures
- Nonequilibrium Andreev resonances in ballistic graphene Andreev interferometers