Quasiparticle transport in arrays of chaotic cavities
arXiv:cond-mat/0605329 · doi:10.1209/epl/i2006-10163-0
Abstract
We find the distribution of transmission eigenvalues in a series of identical junctions between chaotic cavities using the circuit theory of mesoscopic transport. This distribution rapidly approaches the diffusive wire limit as the number of junctions increases, independent of the specific scattering properties of a single junction. The cumulant generating function and the first three cumulants of the charge transfer through the system are obtained both in the normal and in the superconducting state.
arXiv comment7 pages, 3 figures
References in corpus (32)
- 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
- Stochastic Path Integral Formulation of Full Counting Statistics
- Measurement of Counting Statistics of Electron Transport in a Tunnel Junction
- The 1/3-shot noise suppression in diffusive nanowires
- Universal Statistics of Transport in Disordered Conductors
- Full Current Statistics in Diffusive Normal-Superconductor Structures
- Fluctuation Statistics in Networks: a Stochastic Path Integral Approach
- Shot Noise by Quantum Scattering in Chaotic Cavities
- Noise in Multiterminal Diffusive Conductors: Universality, Nonlocality and Exchange Effects
- 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
- Electron transport through interacting quantum dots
- Electron transport and current fluctuations in short coherent conductors
- Cascade approach to current fluctuations in a chaotic cavity
- Shot-noise and conductance measurements of transparent superconductor / two-dimensional electron gas junctions
- Transport of interacting electrons in arrays of quantum dots and diffusive wires
- Full counting statistics of incoherent Andreev transport
- Shot noise of series quantum point contacts intercalating chaotic cavities
- Drastic Reduction of Shot Noise in Semiconductor Superlattices
- Shot noise measurements in NS junctions and the semiclassical theory
- Full counting statistics of a chaotic cavity with asymmetric leads
- Full counting statistics of Andreev scattering in an asymmetric chaotic cavity
- Diagrammatic Analysis of the Unitary Group for Double Barrier Ballistic Cavities: Equivalence with Circuit Theory
- Shot-noise statistics in diffusive conductors
- Andreev reflection eigenvalue density in mesoscopic conductors