Dark versus blocking states in electronic transport: a Lee-Yang zero analysis of full counting statistics

Abstract

Electronic transport through nanostructures can be suppressed by coherent population trapping, in which quantum coherence leads to a dark state that decouples from the drain electrode. Finite transport, then, relies on decoherence of the dark state. An alternative scenario for reduced transport is weak coupling of a state, referred to as a blocking state, to the drain. This raises the question of whether and how these two scenarios can be distinguished in the transport features. For the example of electron transport through a carbon nanotube, we identify regimes, in which this distinction is possible by analyzing the full counting statistics in terms of Lee-Yang zeros and factorial cumulants.

arXiv comment11 pages, 9 figures

References in corpus (30)

• Theory of Transport through Quantum-Dot Spin Valves in the Weak-Coupling Regime
• Universal Lindblad equation for open quantum systems
• Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
• All-electronic coherent population trapping in quantum dots
• Electronic Transport Spectroscopy of Carbon Nanotubes in a Magnetic Field
• Experimental Determination of Dynamical Lee-Yang Zeros
• Factorial cumulants reveal interactions in counting statistics
• Two-Particle Dark State in the Transport through a Triple Quantum Dot
• A phenomenological position and energy resolving Lindblad approach to quantum kinetics
• Counting statistics of coherent population trapping in quantum dots
• General Theory of Lee-Yang Zeros in Models with First-Order Phase Transitions
• Current Switch by Coherent Trapping of Electrons in Quantum Dots
• Quantum Transport through Nanostructures with Orbital Degeneracies
• Completely Positive, Simple, and Possibly Highly Accurate Approximation of the Redfield Equation
• Optical detection of single electron transport dynamics
• Detection of interactions via generalized factorial cumulants in systems in and out of equilibrium
• All-electric-spin control in interference single electron transistors
• Dark states in a carbon nanotube quantum dot
• Relaxation dynamics in a Hubbard dimer coupled to fermionic baths: phenomenological description and its microscopic foundation
• Lee-Yang theory, high cumulants, and large-deviation statistics of the magnetization in the Ising model
• Short-time counting statistics of charge transfer in Coulomb-blockade systems
• Time-dependent factorial cumulants in interacting nano-scale systems
• Pushing the limits in real-time measurements of quantum dynamics
• Revealing attractive electron-electron interaction in a quantum dot by full counting statistics
• Statistical analysis of spin switching in coupled spin-crossover molecules
• Blocking-state influence on shot noise and conductance in quantum dots
• Counting statistics of dark-state transport through a carbon nanotube quantum dot
• Unraveling spin dynamics from charge fluctuations
• Lee-Yang theory of the superradiant phase transition in the open Dicke model
• Independent and coherent transitions between antiferromagnetic states of few-molecule systems