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200 papers

Electronic transport through chaotic quantum dots exhibits universal, system independent, properties, consistent with random matrix theory. The quantum transport can also be rooted, via the semiclassical approximation, in sums over the…

Chaotic Dynamics · Physics 2013-03-06 Gregory Berkolaiko , Jack Kuipers

We analyze the current-voltage characteristic of a quantum conduction channel coupled to an electromagnetic environment of arbitrary frequency-dependent impedance. In the weak blockade regime the correction to the ohmic behavior is directly…

Mesoscale and Nanoscale Physics · Physics 2019-05-15 A. Levy Yeyati , A. Martin-Rodero , D. Esteve , C. Urbina

A short historical overview is given on the development of our knowledge of complex dynamical systems with special emphasis on ergodicity and chaos, and on the semiclassical quantization of integrable and chaotic systems. The general trace…

chao-dyn · Physics 2008-02-03 Frank Steiner

We investigate the shot noise generated by particle emission from a mesoscopic capacitor into an edge state reflected and transmitted at a quantum point contact (QPC). For a capacitor subject to a periodic voltage the resulting shot noise…

Mesoscale and Nanoscale Physics · Physics 2008-10-16 S. Ol'khovskaya , J. Splettstoesser , M. Moskalets , M. Buttiker

We address the quantum-classical correspondence for chaotic systems with a crossover between symmetry classes. We consider the energy level statistics of a classically chaotic system in a weak magnetic field. The generating function of…

Chaotic Dynamics · Physics 2015-05-13 Keiji Saito , Taro Nagao , Sebastian Muller , Petr Braun

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

A semiclassical theory of the low frequency shot noise in ferromagnet - normal metal systems is formulated. Non-collinear magnetization directions of the ferromagnetic leads, arbitrary junctions and the elastic and inelastic scattering…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yaroslav Tserkovnyak , Arne Brataas

We address the shot noise in the tunneling current through a localized spin, pertaining to recent experiments on magnetic adatoms and single molecular magnets. We show that both uncorrelated and spin-correlated scattering processes…

Mesoscale and Nanoscale Physics · Physics 2018-03-16 S. Pradhan , J. Fransson

It might be anticipated that there is statistical universality in the long-time classical dynamics of chaotic systems, corresponding to the universal correspondence of their quantum spectral statistics with random matrix models. We argue…

chao-dyn · Physics 2007-05-23 M. Wilkinson , B. Mehlig

We consider statistics of electronic transport in chaotic cavities where time-reversal symmetry is broken and one of the leads is weakly non-ideal, i.e. it contains tunnel barriers characterized by tunneling probabilities $\Gamma_i$. Using…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Sergio Rodriguez-Perez , Ricardo Marino , Marcel Novaes , Pierpaolo Vivo

A self-consistent theory of shot noise in ballistic two-terminal conductors under the action of long-range Coulomb correlations is presented. Analytical formulas for the electron distribution function and its fluctuation along the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. M. Bulashenko , J. M. Rubi , V. A. Kochelap

A semiclassical theory is developed for time-dependent current fluctuations in mesoscopic conductors. The theory is based on the Boltzmann-Langevin equation for a degenerate electron gas. The low-frequency shot-noise power is related to…

Condensed Matter · Physics 2007-05-23 M. J. M. de Jong , C. W. J. Beenakker

Fluctuations pose fundamental limitations in making sensitive measurements, yet at the same time, noise unravels properties that are inaccessible at the level of the averaged signal. In electronic devices, shot noise arises from the…

Mesoscale and Nanoscale Physics · Physics 2019-07-22 Anqi Mu , Ofir Shein Lumbroso , Oren Tal , Dvira Segal

We present a semiclassical theory of shot noise in diffusive superconductor - normal metal contacts. At subgap voltages, we reproduce the doubling of shot noise with respect to conventional normal-metal contacts, which is interpreted in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. E. Nagaev , M. Buttiker

In these notes we discuss the origin of shot noise ('Schroteffekt') of vacuum tubes in detail. It will be shown that shot noise observed in vacuum tubes and first described by W. Schottky in 1918 is a purely classical phenomenon. This is in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. Schönenberger , S. Oberholzer , E. V. Sukhorukov , H. Grabert

The fundamental correspondence between quantum chaotic single-particle systems and random matrix theory is well-understood via periodic orbit theory. In contrast, we show that many-body systems with explicit subsystem structure possess…

Quantum Physics · Physics 2026-05-27 Maximilian F. I. Kieler , Felix Fritzsch , Arnd Bäcker

We discuss the statistics of tunnelling rates in the presence of chaotic classical dynamics. This applies to resonance widths in chaotic metastable wells and to tunnelling splittings in chaotic symmetric double wells. The theory is based on…

chao-dyn · Physics 2009-01-23 Stephen C. Creagh , Niall D. Whelan

Level fluctuations in quantum system have been used to characterize quantum chaos using random matrix models. Recently time series methods were used to relate level fluctuations to the classical dynamics in the regular and chaotic limit. In…

Chaotic Dynamics · Physics 2007-05-23 M. S. Santhanam , Jayendra N. Bandyopadhyay

The statistics of quantum transport through chaotic cavities with two leads is encoded in transport moments $M_m={\rm Tr}[(t^\dag t)^m]$, where $t$ is the transmission matrix, which have a known universal expression for systems without…

Chaotic Dynamics · Physics 2012-05-09 Marcel Novaes

The progress in nanofabrication, measurement technology, and mesoscopic transport theory has been expanding the field of shot noise. Although a wave-packet approach to DC shot noise of independent electrons at finite temperature was offered…

Mesoscale and Nanoscale Physics · Physics 2012-11-27 Hiroyuki Inoue