Full Counting Statistics of Interacting Electrons

Abstract

In order to fully characterize the noise associated with electron transport, with its severe consequences for solid-state quantum information systems, the theory of full counting statistics has been developed. It accounts for correlation effects associated with the statistics and effects of entanglement, but it remains a non-trivial task to account for interaction effects. In this article we present two examples: we describe electron transport through quantum dots with strong charging effects beyond perturbation theory in the tunneling, and we analyze current fluctuations in a diffusive interacting conductor.

To be published in special issue of "Fortschritte der Physik" (ed. by Wolfgang Schleich)

References in corpus (6)

• Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
• Co-tunneling current and shot noise in quantum dots
• Shot noise in tunneling transport through molecules and quantum dots
• Spin-spin correlators in Majorana representation
• Full counting statistics for the Kondo dot
• Full Counting Statistics for a Single-Electron Transistor, Non-equilibrium Effects at Intermediate Conductance

Cited by in corpus (7)

• Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
• Electron counting in quantum dots
• Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom
• Tunable dynamical channel blockade in double-dot Aharonov-Bohm interferometers
• Coulomb-interaction effects in full counting statistics of a quantum-dot Aharonov-Bohm interferometer
• Full counting statistics for transport through a molecular quantum dot magnet
• Transient quantum evolution of 2D electrons under photoexcitation of a deep center