Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors
arXiv:1504.01155 · doi:10.1103/PhysRevB.91.235413
Abstract
We develop a conceptually simple scheme based on a master-equation approach to evaluate the full-counting statistics (FCS) of elastic and inelastic off-resonant tunneling (cotunneling) in quantum dots (QDs) and molecules. We demonstrate the method by showing that it reproduces known results for the FCS and shot noise in the cotunneling regime. For a QD with an excited state, we obtain an analytic expression for the cumulant generating function (CGF) taking into account elastic and inelastic cotunneling. From the CGF we find that the shot noise above the inelastic threshold in the cotunneling regime is inherently super-Poissonian when external relaxation is weak. Furthermore, a complete picture of the shot noise across the different transport regimes is given. In the case where the excited state is a blocking state, strongly enhanced shot noise is predicted both in the resonant and cotunneling regimes.
arXiv comment14 pages, 7 figures, published version
References in corpus (76)
- Shot Noise in Mesoscopic Conductors
- Electron Counting Statistics and Coherent States of Electric Current
- Counting statistics of single-electron transport in a quantum dot
- Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems
- Stability Diagram of a Few-Electron Triple Dot
- Theory of the Franck-Condon blockade regime
- Environmental effects in the third moment of voltage fluctuations in a tunnel junction
- Electron Cotunneling in a Semiconductor Quantum Dot
- Universal oscillations in counting statistics
- Counting Statistics of Non-Markovian Quantum Stochastic Processes
- Tunneling through molecules and quantum dots: master-equation approaches
- Kinetic Equations for Transport Through Single-Molecule Transistors
- Electron shot noise beyond the second moment
- Full counting statistics of super-Poissonian shot noise in multi-level quantum dots
- Electrical manipulation of spin states in a single electrostatically gated transition-metal complex
- Observation of excited states in a graphene quantum dot
- Measurement of Counting Statistics of Electron Transport in a Tunnel Junction
- Measurement of finite-frequency current statistics in a single-electron transistor
- Noise of a Quantum-Dot System in the Cotunneling Regime
- Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
- Cotunneling Spectroscopy in Few-Electron Quantum Dots
- Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
- Electron counting in quantum dots
- Protection of excited spin states by a superconducting energy gap
- Co-tunneling current and shot noise in quantum dots
- Towards full counting statistics for the Anderson impurity model
- Shot Noise Detection on a Carbon Nanotube Quantum Dot
- Electronic excitations of a single molecule contacted in a three-terminal configuration
- Noise enhancement due to quantum coherence in coupled quantum dots
- Enhanced shot noise in resonant tunnelling via interacting localised states
- Transport through a double quantum dot in the sequential- and co- tunneling regimes
- Shot noise in tunneling transport through molecules and quantum dots
- Density-operator approaches to transport through interacting quantum dots: Simplifications in fourth-order perturbation theory
- Phonon-assisted current noise in molecular junctions
- Pair tunneling through single molecules
- Gate-defined graphene double quantum dot and excited state spectroscopy
- Factorial cumulants reveal interactions in counting statistics
- Electron-phonon interaction and full counting statistics in molecular junctions
- Probing relaxation times in graphene quantum dots
- Charge frustration in a triangular triple quantum dot
- Vibrational cooling, heating, and instability in molecular conducting junctions: Full counting statistics analysis
- Super-poissonian noise, negative differential conductance, and relaxation effects in transport through molecules, quantum dots and nanotubes
- Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom
- Bimodal Counting Statistics in Single Electron Tunneling through a Quantum Dot
- Detection of non-Gaussian Fluctuations in a Quantum Point Contact
- Quantum Interference in Off-Resonant Transport through Single Molecules
- Full counting statistics of strongly non-Ohmic transport through single molecules
- Cotunneling-mediated transport through excited states in the Coulomb blockade regime
- Transport Statistics of Interacting Double Dot Systems: Coherent and Non-Markovian Effects
- Full-counting statistics for molecular junctions: Fluctuation theorem and singularities
- Nonlinear effects of phonon fluctuations on transport through nanoscale junctions
- Full Counting Statistics of Andreev Tunneling
- Finite-frequency counting statistics of electron transport: Markovian Theory
- Current noise in molecular junctions: effects of the electron-phonon interaction
- Noise Correlations in a Coulomb Blockaded Quantum Dot
- Full Counting Statistics for a Single-Electron Transistor, Non-equilibrium Effects at Intermediate Conductance
- Image charge effects in single-molecule junctions: Breaking of symmetries and negative differential resistance in a benzene transistor
- Cotunneling through a magnetic single-molecule transistor based on N\atC60
- Pair-tunneling resonance in the single-electron transport regime
- Majorana zero modes choose Euler numbers - revealed by full counting statistics
- Counting statistics of cotunneling electrons
- Shot noise spectroscopy on a semiconductor quantum dot in the elastic and inelastic cotunneling regimes
- Electron Bunching in Transport Through Quantum Dots in High Magnetic Field
- Interaction-induced negative differential resistance in asymmetric molecular junctions
- Transport through single-wall metallic carbon nanotubes in the cotunneling regime
- Coulomb-interaction effects in full counting statistics of a quantum-dot Aharonov-Bohm interferometer
- Detecting single-electron tunneling involving virtual processes in real time
- Weak measurement of cotunneling time
- Measuring cotunneling in its wake
- Inelastic cotunneling in quantum dots and molecules with weakly broken degeneracies
- Spin-dependent shot noise enhancement in a quantum dot
- Charge fluctuations in nonlinear heat transport
- Enhanced shot noise in asymmetric interacting two level systems
- Anisotropic charge Kondo effect in a triple quantum dot
- Co-tunneling assisted sequential tunneling in multi-level quantum dots
- Statistics of energy dissipation in a quantum dot operating in the cotunneling regime
Cited by in corpus (32)
- Numerically exact full counting statistics of the nonequilibrium Anderson impurity model
- Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
- Full counting statistics of the subsystem energy in the free fermions and the quantum spin chains
- Current fluctuations in quantum absorption refrigerators
- Non-equilibrium quantum transport coefficients and the transient dynamics of full counting statistics in the strong coupling and non-Markovian regimes
- Numerically exact counting statistics of energy current in the Kondo regime
- Powerful Coulomb-drag thermoelectric engine
- Hierarchical quantum master equation approach to current fluctuations in nonequilibrium charge transport through nanosystems
- Correlated Coulomb drag in capacitively coupled quantum-dot structures
- Waiting time distribution for electron transport in a molecular junction with electron-vibration interaction
- Revealing strong correlations in higher order transport statistics: a noncrossing approximation approach
- Lead Geometry and Transport Statistics in Molecular Junctions
- Counting quantum jumps: a summary and comparison of fixed-time and fluctuating-time statistics in electron transport
- Nonrenewal statistics in transport through quantum dots
- Distribution of tunnelling times for quantum electron transport
- Waiting time distribution revealing the internal spin dynamics in a double quantum dot
- Distribution of waiting times between electron cotunnelings
- Distribution of residence times as a marker to distinguish different pathways for quantum transport
- Non-renewal statistics in quantum transport through the eyes of first-passage and waiting time distributions
- Tunneling statistics for analysis of spin-readout fidelity
- Electron Waiting Times in a Strongly Interacting Quantum Dot: Interaction Effects and Higher-Order Tunneling Processes
- Noise insights into electronic transport
- Waiting time between charging and discharging processes in molecular junctions
- Blocking-state influence on shot noise and conductance in quantum dots
- Non-equilibrium current cumulants and moments with a point-like defect
- Shot noise in magnetic tunneling structures with two-level quantum dots
- Sub- to Super-Poissonian crossover of current noise in helical edge states coupled to a spin impurity in a magnetic field
- Transients generate memory and break hyperbolicity in stochastic enzymatic networks
- Strongly correlated charge transport in silicon MOSFET quantum dots
- Distinguishing coherent from incoherent charge transport in linear triple quantum dots
- Anomalous electronic shot noise in resonant tunneling junctions
- Current noise in quantum dot thermoelectric engines