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We present a theoretical analysis of the effect of inelastic electron scattering on current and its fluctuations in a mesoscopic quantum dot (QD) connected to two leads, based on a recently developed nonperturbative technique involving the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Bing Dong , H. L. Cui , X. L. Lei , Norman J. M. Horing

We develop the concept of scattering matrix and we use it to perform stable numerical calculations of resonant tunneling of electrons through a multiple potential barrier in a semiconductor heterostructure. Electrons move in two external…

Quantum Physics · Physics 2023-07-19 J. Z. Kaminski , E. Saczuk

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

An approach to experimentally exploring electronic correlation functions in mesoscopic regimes is proposed. The idea is to monitor the mesoscopic fluctuations of a tunneling current flowing between the two layers of a semiconductor…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Julia S. Meyer , Alexander Altland , Martin Janssen

We investigate the correlations in the current fluctuations at different terminals of metallic diffusive conductors. We start from scattering matrix expressions for the shot noise and use the Fisher-Lee relation in combination with diagram…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ya. M. Blanter , M. Buttiker

We present the most complete scattering theory for noise in noninteracting case. The exact formula for spectral density of current fluctuations at finite frequency is presented in terms of scattering matrix for a coherent quantum conductor.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. B. Lesovik

We consider the scattering matrix approach to quantum electron transport in meso- and nano-conductors. This approach is an alternative to the more conventional kinetic equation and Green's function approaches, and often is more efficient…

Mesoscale and Nanoscale Physics · Physics 2015-04-09 G. B. Lesovik , I. A. Sadovskyy

The standard physical model of contemporary mesoscopic noise and transport consists in a phenomenologically based approach, proposed originally by Landauer and since continued and amplified by Buettiker (and others). Throughout all the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Frederick Green , Mukunda P. Das

We use the scattering approach to investigate the nonlinear current-voltage characteristic of mesoscopic conductors. We discuss the leading nonlinearity by taking into account the self-consistent nonequilibrium potential. We emphasize…

Condensed Matter · Physics 2009-10-28 T. Christen , M. Buttiker

Conductance and shot noise of an open cavity with diffusive boundary scattering are calculated within the Boltzmann-Langevin approach. In particular, conductance contains a non-universal geometric contribution, originating from the presence…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ya. M. Blanter , E. V. Sukhorukov

Recent experiments on conduction between a semiconductor and a superconductor have revealed a variety of new mesoscopic phenomena. Here is a review of the present status of this rapidly developing field. A scattering theory is described…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 C. W. J. Beenakker

We present a theory of conductance and noise in generic mesoscopic conductors connected in parallel, and we demonstrate that the additivity of conductance and of shot noise arises as a sole property of the junctions connecting the two (or…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 G. Iannaccone , M. Macucci , B. Pellegrini

It is shown that electron-electron interactions lead to a novel quantum-interference contribution to non-equilibrium current noise in mesoscopic conductors. The corresponding noise spectrum is obtained in detail for diffusive systems. It is…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Felix von Oppen , Ady Stern

Quantum noise with exchange and tunneling is studied within time-dependent wave packets. A novel expression for the quantum noise of two identical particles injected simultaneously from opposite sides of a tunneling barrier is presented.…

Quantum Physics · Physics 2016-06-22 Enrique Colomés , Damiano Marian , Xavier Oriols

We study the current of Bose particles between two reservoirs connected by a one-dimensional channel. We analyze the problem from first principles by considering a microscopic model of conductivity in the noninteracting limit. Equations for…

Quantum Gases · Physics 2018-11-06 Andrey R. Kolovsky , Zakari Denis , Sandro Wimberger

We model the 2-probe conductance of a quantum point contact (QPC), in linear response. If the QPC is highly non-adiabatic or near to scatterers in the open reservoir regions, then the usual distinction between leads and reservoirs breaks…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. H. Barnett , M. Blaauboer , A. Mody , E. J. Heller

We introduce a model of a nonlinear double-barrier structure, to describe in a simple way the effects of electron-electron scattering while remaining analytically tractable. The model is based on a generalized effective-mass equation where…

Condensed Matter · Physics 2009-10-28 Enrique Diez , Angel Sanchez , Francisco Dominguez-Adame

The persistent current in a clean mesoscopic ring with ballistic electron motion is calculated. The particle dynamics inside a ring is assumed to be chaotic due to scattering at the surface irregularities of atomic size. This allows one to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. V. Samokhin

The Landauer-Buettiker theory of mesoscopic conductors was recently extended to nanoelectromechanical systems. In this extension, the adiabatic reaction forces exerted by the electronic degrees of freedom on the mechanical modes were…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 Mark Thomas , Torsten Karzig , Silvia Viola Kusminskiy , Gergely Zarand , Felix von Oppen

We have developed a method to simulate multiple electron scattering in a vacuum barrier using real-space single-electron wavefunctions of the separate surfaces. The tunnelling current is calculated to first order in the Dyson series. In…

Materials Science · Physics 2007-05-23 Werner A Hofer