Counting statistics of tunneling current

2001/11/04 by Leonid Levitov, L. S. Levitov, M. Reznikov · 12 citations
Engineering · Mathematics · Physics and Astronomy · #Condensed matter physics #Electron #Hamiltonian (control theory) #Mathematics #Molecular Junctions and Nanostructures #Noise (video) #Physics #Quantum and electron transport phenomena #Quantum mechanics #Quantum tunnelling #Quasiparticle #Schottky diode #Semiconductor Quantum Structures and Devices #Superconductivity #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.70.115305

published as Physical Review B 70, 115305 (2004) · 4 pages, 2 figures

arxiv created 2001/11/04 · openalex publication_date 2004/09/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The form of electron counting statistics of the tunneling current noise in a generic many-body interacting electron system is obtained and universal relations between its different moments are derived. A generalized fluctuation-dissipation theorem providing a relation between current and noise at arbitrary bias-to-temperature ratio eV∕k_BT is established in the tunneling Hamiltonian approximation. The third correlator of current fluctuations S₃ (the skewness of the charge counting distribution) has a universal Schottky-type relation with the current and quasiparticle charge that holds in a wide bias voltage range, both at large and small eV∕k_BT. The insensitivity of S₃ to the Nyquist-Schottky crossover represents an advantage compared to the Schottky formula for the noise power. We discuss the possibility of using the correlator S₃ for detecting quasiparticle charge at high temperatures.

Citations

• Electron counting statistics and coherent states of electric current
• Evolution of Quasiparticle Charge in the Fractional Quantum Hall Regime
• Full Current Statistics in Diffusive Normal-Superconductor Structures
• Full counting statistics of a general quantum mechanical variable
• Universal statistics of transport in disordered conductors
• Temperature-Dependent Third Cumulant of Tunneling Noise
• On the detection of finite-frequency current fluctuations

Cited by

• Charge Fractionalization in the Two-Channel Kondo Effect
• Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors
• Transport of fractional Hall quasiparticles through an antidot
• Full counting statistics of persistent current
• Current-biased Andreev interferometer
• Short-time dynamics of molecular junctions after projective measurement
• Electron bunching in triple quantum dot interferometers
• Transport statistics of interacting double dot systems: Coherent and non-Markovian effects
• Coherent quantum ratchets driven by tunnel oscillations: Fluctuations and correlations
• Noise effects in the nonlinear thermoelectricity of a Josephson junction
• Coulomb-interaction effects in full counting statistics of a quantum-dot Aharonov-Bohm interferometer
• Superoperator nonequilibrium Green’s function theory of many-body systems; applications to charge transfer and transport in open junctions