Detection of interactions via generalized factorial cumulants in systems in and out of equilibrium

Abstract

We introduce time-dependent, generalized factorial cumulants $C_s^m(t)$ of the full counting statistics of electron transfer as a tool to detect interactions in nanostructures. The violation of the sign criterion $(-1{)}^{m-1}{C}_s^m(t)\ge 0$ for \emph{any} time $t$, order $m$, and parameter $s$ proves the presence of interactions. For given system parameters, there is a minimal time span $t_{\text{min}}$ and a minimal order $m$ to observe the violation of the sign criterion. We demonstrate that generalized factorial cumulants are more sensitive to interactions than ordinary ones and can detect interactions even in regimes where ordinary factorial cumulants fail. We illustrate our findings with the example of a quantum dot tunnel coupled to electronic reservoirs either in or out of equilibrium.

7 pages manuscript

References in corpus (25)

• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Universal oscillations in counting statistics
• Counting Statistics of Non-Markovian Quantum Stochastic Processes
• Full counting statistics of super-Poissonian shot noise in multi-level quantum dots
• Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
• Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
• Electron counting in quantum dots
• Co-tunneling current and shot noise in quantum dots
• Shot Noise of a Quantum Shuttle
• Noise enhancement due to quantum coherence in coupled quantum dots
• Factorial cumulants reveal interactions in counting statistics
• 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
• Asymmetric Quantum Shot Noise in Quantum Dots
• Nonlinear effects of phonon fluctuations on transport through nanoscale junctions
• Superconducting proximity effect in interacting quantum dots revealed by shot noise
• Noise Correlations in a Coulomb Blockaded Quantum Dot
• Allowed charge transfers between coherent conductors driven by a time-dependent scatterer
• Spin-induced charge correlations in transport through interacting quantum dots with ferromagnetic leads
• Factorization of quantum charge transport for non-interacting fermions
• High-order cumulants in the counting statistics of asymmetric quantum dots
• Electron Bunching in Transport Through Quantum Dots in High Magnetic Field
• High cumulants in the counting statistics measured for a quantum dot
• Coulomb-interaction effects in full counting statistics of a quantum-dot Aharonov-Bohm interferometer
• Electron bunching in triple quantum dot interferometers

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