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Related papers: Conductance Distributions in Chaotic Mesoscopic Ca…

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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

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

The scattering matrix approach is employed to determine a joint probability density function of reflection eigenvalues for chaotic cavities coupled to the outside world through both ballistic and tunnel point contacts. Derived under…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 Pedro Vidal , Eugene Kanzieper

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

We study quantum transport properties of finite periodic quasi-one-dimensional waveguides whose classical dynamics is diffusive. The system we consider is a scattering configuration, composed of a finite periodic chain of $L$ identical…

Statistical Mechanics · Physics 2012-01-18 Jaime Zuñiga Vukusich

When time-reversal symmetry is broken, the average conductance through a chaotic cavity, from an entrance lead with $N_1$ open channels to an exit lead with $N_2$ open channels, is given by $N_1N_2/M$, where $M=N_1+N_2$. We show that, when…

Chaotic Dynamics · Physics 2022-10-04 Lucas H. Oliveira , Pedro H. S. Bento , Marcel Novaes

The conductance distribution of metallic mesoscopic systems is considered. The variance of this distribution describes the universal conductance fluctuations, yielding a Gaussian distribution of the conductance. We calculate…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. C. W. van Rossum , Igor V. Lerner , Boris L. Altshuler , Th. M. Nieuwenhuizen

We investigate the effect of spatial symmetries on phase coherent electronic transport through chaotic quantum dots. For systems which have a spatial symmetry that interchanges the source and drain leads, we find in the framework of random…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Victor A. Gopar , Stefan Rotter , Henning Schomerus

Analytical expressions for the width and conductance peak distributions of irregularly shaped quantum dots in the Coulomb blockade regime are presented in the limits of conserved and broken time-reversal symmetry. The results are obtained…

Condensed Matter · Physics 2009-10-28 Y. Alhassid , C. H. Lewenkopf

Random matrix theory can be used to describe the transport properties of a chaotic quantum dot coupled to leads. In such a description, two approaches have been taken in the literature, considering either the Hamiltonian of the dot or its…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M L Polianski , P W Brouwer

We report experimental evidence that chaotic and non-chaotic scattering through ballistic cavities display distinct signatures in quantum transport. In the case of non-chaotic cavities, we observe a linear decrease in the average resistance…

Condensed Matter · Physics 2009-10-22 A. M. Chang , H. U. Baranger , L. N. Pfeiffer , K. W. West

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

We study distribution functions (DF) of mesoscopic hopping conductance numerically by searching for the shortest path. We have found that the distributions obtained by choosing randomly the chemical potentials (for a fixed impurity…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Liqun He , Eugene Kogan , Dawei Luo

We determine the joint probability density function (JPDF) of reflection eigenvalues in three Dyson's ensembles of normal-conducting chaotic cavities coupled to the outside world through both ballistic and tunnel point contacts. Expressing…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Andrzej Jarosz , Pedro Vidal , Eugene Kanzieper

We consider the distribution of conductance fluctuations in disordered quantum dots with single channel leads. Using a perturbative diagrammatic approach, valid for continuous level spectra, we describe dephasing due to processes within the…

Condensed Matter · Physics 2009-10-30 Edward McCann , Igor V. Lerner

The probability distribution of the proper delay times during scattering on a chaotic system is derived in the framework of the random matrix approach and the supersymmetry method. The result obtained is valid for an arbitrary number of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hans-Juergen Sommers , Dmitry V. Savin , Valentin V. Sokolov

A semiclassical approach to the calculation of transport moments $M_m={\rm Tr}[(t^\dag t)^m]$, where $t$ is the transmission matrix, was developed in [M. Novaes, Europhys. Lett. 98, 20006 (2012)] for chaotic cavities with two leads and…

Chaotic Dynamics · Physics 2013-02-14 Marcel Novaes

For chaotic cavities with scattering leads attached, transport properties can be approximated in terms of the classical trajectories which enter and exit the system. With a semiclassical treatment involving fine correlations between such…

Chaotic Dynamics · Physics 2015-05-20 Gregory Berkolaiko , Jack Kuipers

Applying random matrix theory to quantum transport in chaotic cavities, we develop a novel approach to computation of the moments of the conductance and shot-noise (including their joint moments) of arbitrary order and at any number of open…

Mesoscale and Nanoscale Physics · Physics 2009-09-07 B. A. Khoruzhenko , D. V. Savin , H. -J. Sommers

We consider the AC transport in a quantum RC circuit made of a coherent chaotic cavity with a top gate. Within a random matrix approach, we study the joint distribution for the mesoscopic capacitance $C_\mu=(1/C+1/C_q)^{-1}$ and the charge…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Aurélien Grabsch , Christophe Texier