Determination of tunneling charge via current measurements

Abstract

We consider a tunnel junction between two arbitrary non-linear systems in any dimension, which can be different. We show that the tunneling charge can be detected using three alternative methods based on current measurements. Besides being technically easier compared to noise measurements, these methods present valuable advantages: they do not require the knowledge of the underlying models, and some are accessible in the experimentally convenient low-voltage regime, where heating effects are reduced. The first method is based on the AC conductance, while the two others are based on photo-assisted current (PAC) and can be implemented for any time-dependence of the tunneling amplitude. These are promising for edge states in the regime of the fractional quantum Hall effect (FQHE): the Hamiltonian does not have to be specified and can incorporate non-universal interactions between the edges, and it is more convenient to use an AC gate voltage rather than an AC bias. These methods apply for instance to weak barriers in 1-D systems, Superconductor-Insulator-Normal (SIN) or graphene-like structures.

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Cited by in corpus (27)

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• Fluctuation-Dissipation Relations of a Tunnel Junction Driven by a Quantum Circuit
• Quantum limited amplification from inelastic Cooper pair tunneling
• Perturbative fluctuation dissipation relation for non-equilibrium finite frequency noise in quantum circuits
• Multiple quasiparticle Hall spectroscopy investigated with a resonant detector
• Cavity squeezing by a quantum conductor
• Collisional interferometry of Levitons in quantum Hall edge channels at $\nu =2$
• One-channel conductor coupled to a quantum of resistance: exact ac conductance and finite-frequency noise
• Fluctuation dissipation relations for strongly correlated out-of-equilibrium circuits
• Hong-Ou-Mandel heat noise in the quantum Hall regime
• Dynamical Coulomb blockade of tunnel junctions driven by alternating voltages
• Unified time-dependent perturbative relations applied to spectroscopy through photo-drag current
• Interacting electrodynamics of short coherent conductors in quantum circuits
• Current correlations of Cooper-pair tunneling into a quantum Hall system
• Effect of the electromagnetic environment on current fluctuations in driven tunnel junctions
• AC driven strongly correlated quantum circuits and Hall edge states: Unified photo-assisted noise and revisited minimal excitations
• Current enhancement through a time dependent constriction in fractional topological insulators
• Series expansion of the quantum admittance in mesoscopic systems
• Full counting statistics of ultrafast quantum transport
• Photo-assisted current in the fractional quantum Hall effect as a probe of the quasiparticle operator scaling dimension
• Thermodynamic and energetic constraints on transition probabilities of small-scale quantum systems
• Photon-assisted Dynamical Coulomb Blockade in a Tunnel Junction
• Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges
• Enhancement of Coulomb blockade in epsilon near zero and hyperbolic metamaterials
• Diode effect in microwave irradiated Josephson junctions with Yu-Shiba-Rusinov states