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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 describe a semiclassical method to calculate universal transport properties of chaotic cavities. While the energy-averaged conductance turns out governed by pairs of entrance-to-exit trajectories, the conductance variance, shot noise and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sebastian Müller , Stefan Heusler , Petr Braun , Fritz Haake

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

Explicit formulas are obtained for all moments and for all cumulants of the electric current through a quantum chaotic cavity attached to two ideal leads, thus providing the full counting statistics for this type of system. The approach is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Marcel Novaes

We address frequency-dependent quantum transport through mesoscopic conductors in the semiclassical limit. By generalizing the trajectory-based semiclassical theory of dc quantum transport to the ac case, we derive the average screened…

Mesoscale and Nanoscale Physics · Physics 2010-01-19 Cyril Petitjean , Daniel Waltner , Jack Kuipers , Inanc Adagideli , Klaus Richter

The nonlinear dc conductance of a two-terminal chaotic cavity is investigated. The fluctuations of the conductance (anti)symmetric with respect to magnetic flux inversion through multichannel cavities are found analytically for arbitrary…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mikhail L. Polianski , Markus Buttiker

We consider the zero frequency fluctuations of charge inside a mesoscopic conductor in the large capacitance limit. In analogy to current counting statistics we derive the characteristic function of charge fluctuations in terms of the…

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

The Boltzmann - Langevin approach is extended to calculations of third and fourth cumulants of current in diffusive-metal contacts. These cumulants result from indirect correlations between current fluctuations, which may be considered as…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. E. Nagaev

We calculate the cumulants of the charge transmitted through a chaotic cavity in the limit that the two openings have a large number of scattering channels. The shot noise, which is the second cumulant, is known to be insensitive to…

Condensed Matter · Physics 2007-05-23 Ya. M. Blanter , H. Schomerus , C. W. J. Beenakker

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 consider the conductance distributions in chaotic mesoscopic cavities for all three invariant classes of random matrices for the arbitrary number of channels N1, N2 in the connecting leads. We show that the Laplace transforms of the…

Mesoscale and Nanoscale Physics · Physics 2011-05-24 Santosh Kumar , Akhilesh Pandey

We study the statistics of charge transport in a chaotic cavity attached to external reservoirs by two openings of different size which transmit non-equal number of quantum channels. An exact formula for the cumulant generating function has…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 O. M. Bulashenko

We present a trajectory-based semiclassical calculation of the full counting statistics of quantum transport through chaotic cavities, in the regime of many open channels. Our method to obtain the $m$th moment of the density of transmission…

Mesoscale and Nanoscale Physics · Physics 2008-10-03 G. Berkolaiko , J. M. Harrison , M. Novaes

Our work presents a study on the nonlinear dynamical behavior for a microcavity semiconductor containing a quantum well. Using an external periodic perturbation in energy level we observe the periodic-doubling, quasiperiodic, and direct…

Chaotic Dynamics · Physics 2015-06-04 Hichem Eleuch , Awadhesh Prasad

The persistent current in a mesoscopic ring has a Gaussian distribution with small non-Gaussian corrections. Here we report a semiclassical calculation of the leading non-Gaussian correction, which is described by the three-point…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Piet W. Brouwer , Jeroen Danon

We derive a semiclassical scheme for the conductance through a rectangular cavity. The transmission amplitudes are expressed as a sum over families of trajectories rather than a sum over isolated trajectories. The contributing families are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Paul Pichaureau , Rodolfo A. Jalabert

Universal conductance fluctuations in disordered systems are one of the most known quantum mesoscopic effects. For ballistic cavity with smooth confining potential however, one should observe a much larger classical sample-to-sample…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov

We present a quantum calculation based on scattering theory of the frequency dependent noise of current in an interacting chaotic cavity. We include interactions of the electron system via long range Coulomb forces between the conductor and…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 F. W. J. Hekking , J. P. Pekola

In mesoscopic systems conductance fluctuations are a sensitive probe of electron dynamics and chaotic phenomena. We show that the conductance of a purely classical chaotic system with either fully chaotic or mixed phase space generically…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. Hennig , R. Fleischmann , L. Hufnagel , T. Geisel

We show how to calculate the charge noise spectrum in a normal mesoscopic conductor, which is capacitively coupled to a macroscopic gate, when this conductor is attached to L normal leads and M superconducting leads, the only restriction…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Andrew M. Martin , Thomas Gramespacher , Markus Buttiker
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