Counting statistics of cotunneling electrons

Abstract

We describe a method for calculating the counting statistics of electronic transport through nanoscale devices with both sequential and cotunneling contributions. The method is based upon a perturbative expansion of the von Neumann equation in Liouvillian space, with current cumulants calculated from the resulting nonMarkovian master equation without further approximation. As application, we consider transport through a single quantum dot and discuss the effects of cotunneling on noise and skewness, as well as the properties of various approximation schemes.

11 pages, 6 figures

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• The influence of charge detection on counting statistics

Cited by in corpus (27)

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• Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
• Efficiency fluctuations in quantum thermoelectric devices
• Electron Waiting Times in Non-Markovian Quantum Transport
• Finite-frequency counting statistics of electron transport: Markovian Theory
• Non-Markovian effects in the Quantum noise of interacting nanostructures
• Bunching and anti-bunching in electronic transport
• Time-dependent quantum transport: causal superfermions, exact fermion-parity protected decay mode, and Pauli exclusion principle for mixed quantum states
• Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors
• Current Noise in Single-Molecule Junctions Induced by Electronic-Vibrational Coupling
• Hierarchical quantum master equation approach to current fluctuations in nonequilibrium charge transport through nanosystems
• Non-equilibrium correlations and entanglement in a semiconductor hybrid circuit-QED system
• Quantum versus classical counting in nonMarkovian master equations
• Counting quantum jumps: a summary and comparison of fixed-time and fluctuating-time statistics in electron transport
• Incomplete current fluctuation theorems for a four-terminal model
• A diagrammatic description of the equations of motion, current, and noise within the second-order von Neumann approach
• Distribution of waiting times between electron cotunnelings
• Non-renewal statistics in quantum transport through the eyes of first-passage and waiting time distributions
• Three-level mixing and dark states in transport through quantum dots
• Self-consistent electron counting statistics
• Error-mitigated deep-circuit quantum simulation of open systems: steady state and relaxation rate problems
• Metastability and quantum coherence-assisted sensing in interacting parallel quantum dots
• Distinguishing coherent from incoherent charge transport in linear triple quantum dots
• Bounds on skewness and kurtosis of steady state currents
• Full counting statistics of random transition-rate matrices
• Current noise in quantum dot thermoelectric engines
• Non-Markovian full counting statistics in quantum dot molecules