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The third and fourth cumulants of voltage in a current-biased diffusive metal contact of resistance $R$ are calculated for arbitrary temperatures and voltages using the semiclassical cascade approach. The third cumulant equals $e^2R^3I/3$…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. E. Nagaev

We show how the semiclassical Langevin method can be extended to calculations of higher-than-second cumulants of noise. These cumulants are affected by indirect correlations between the fluctuations, which may be considered as "noise of…

Statistical Mechanics · Physics 2009-11-11 Kirill E. Nagaev

We calculate the frequency dispersion of the third cumulant of current in diffusive-metal contacts. The cumulant exhibits a dispersion at the inverse time of diffusion across the contact, which is typically much smaller than the inverse…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Pilgram , K. E. Nagaev , M. Buttiker

Employing the non-linear $\sigma$-model we analyze current fluctuations in coherent composite conductors which contain a diffusive element in-between two tunnel barriers. For such systems we explicitly evaluate the frequency-dependent third…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 A. V. Galaktionov , A. D. Zaikin

We propose a simple semiclassical method for calculating higher-order cumulants of current in multichannel mesoscopic conductors. To demonstrate its efficiency, we calculate the third and fourth cumulants of current for a chaotic cavity…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. E. Nagaev , P. Samuelsson , S. Pilgram

We present a formalism to calculate finite-frequency current correlations in interacting nanoscale conductors. We work within the n-resolved density matrix approach and obtain a multi-time cumulant generating function that provides the…

Mesoscale and Nanoscale Physics · Physics 2011-04-05 C. Emary , D. Marcos , R. Aguado , T. Brandes

A theory is presented for low-frequency current and voltage correlators of a mesoscopic conductor embedded in a macroscopic electromagnetic environment. This Keldysh field theory evaluated at its saddle-point provides the microscopic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Kindermann , Yu. V. Nazarov , C. W. J. Beenakker

We consider high order current cumulants in disordered systems out of equilibrium. They are interesting and reveal information which is not easily exposed by the traditional shot noise. Despite the fact that the dynamics of the electrons is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. B. Gutman , Yuval Gefen , A. D. Mirlin

We formulate a general path integral approach which describes statistics of current fluctuations in mesoscopic coherent conductors at arbitrary frequencies and in the presence of interactions. Applying this approach to the non-interacting…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. S. Golubev , A. V. Galaktionov , A. D. Zaikin

We consider the measurement of the third cumulant of current fluctuations arising from a point contact, employing the transitions that they cause in a quantum detector connected to the contact. We detail two generic detectors: a quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tero T. Heikkila , Teemu Ojanen

It is proposed to measure the current noise generated in a mesoscopic conductor by macroscopic quantum tunneling (MQT) in a current biased Josephson junction placed in parallel to the conductor. The theoretical description of this set-up…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Joachim Ankerhold , Hermann Grabert

Quantum transport in mesoscopic conductors is essentially governed by the laws of quantum mechanics. One of the major open questions of quantum mechanics is what happens if non-commuting observables are measured simultaneously. Since…

Mesoscale and Nanoscale Physics · Physics 2010-03-15 Adam Bednorz , Wolfgang Belzig

Intrinsic fluctuations around the solution of the lattice Boltzmann equation are described or modeled by addition of a white Gaussian noise source. For stationary states a fluctuation-dissipation theorem relates the variance of the…

comp-gas · Physics 2008-02-03 J. W. Dufty , M. H. Ernst

We examine the statistics of current fluctuations in a junction with a quantum dot described by Kondo Hamiltonian. With the help of modified Keldish technique we calculate the third current cumulant. As a function of ratio $v=eV/T_{K}$ the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Golub

The Coulomb drag effect arises due to electron-electron interactions, when two metallic conductors are placed in close vicinity to each other. It manifests itself as a charge current or voltage drop induced in one of the conductors, if the…

Mesoscale and Nanoscale Physics · Physics 2019-05-14 Artem Borin , Ines Safi , Eugene Sukhorukov

We calculate the third cumulant of current in a chaotic cavity with contacts of arbitrary transparency as a function of frequency. Its frequency dependence drastically differs from that of the conventional noise. In addition to a dispersion…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. E. Nagaev , S. Pilgram , M. Buttiker

We report measurements of current noise auto- and cross-correlation in a tunable quantum dot with two or three leads. As the Coulomb blockade is lifted at finite source-drain bias, the auto-correlation evolves from super-Poissonian to…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Y. Zhang , L. DiCarlo , D. T. McClure , M. Yamamoto , S. Tarucha , C. M. Marcus , M. P. Hanson , A. C. Gossard

We consider the measurement of higher current moments with a dissipative resonant circuit, which is coupled inductively to a mesoscopic device in the coherent regime. Information about the higher current moments is coded in the histograms…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Alex Zazunov , Marjorie Creux , Elisabetta Paladino , Adeline Crepieux , Thierry Martin

An experimental study of current fluctuations through a tunable transmission barrier, a quantum point contact, are reported. We measure the probability distribution function of transmitted charge with precision sufficient to extract the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Gershon , Yu. Bomze , E. V. Sukhorukov , M. Reznikov

We study conductance cumulants $<< g^n >>$ and current cumulants $C_j$ related to heat and electrical transport in coherent mesoscopic quantum wires near the diffusive regime. We consider the asymptotic behavior in the limit where the…

Mesoscale and Nanoscale Physics · Physics 2009-06-17 Markku P. V. Stenberg , Jani Särkkä
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