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We study shot noise for generic quantum dots coupled to two leads and allow for an arbitrary strength of diffractive impurity scattering inside the dots. The ballistic quantum dots possess a mixed classical phase space, where regular and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. -S. Sim , H. Schomerus

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

We investigate shot noise for quantum dots whose classical phase space consists of both regular and chaotic regions. The noise is systematically suppressed below the universal value of fully chaotic systems, by an amount which varies with…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. -S. Sim , H. Schomerus

In the framework of the random matrix approach, we apply the theory of Selberg's integral to problems of quantum transport in chaotic cavities. All the moments of transmission eigenvalues are calculated analytically up to the fourth order.…

Mesoscale and Nanoscale Physics · Physics 2009-06-02 D. V. Savin , H. -J. Sommers , W. Wieczorek

We analyse the transport phenomena of 2D quantum billiards with convex boundary of different shape. The quantum mechanical analysis is performed by means of the poles of the S-matrix while the classical analysis is based on the motion of a…

Mesoscale and Nanoscale Physics · Physics 2009-02-05 R. G. Nazmitdinov , K. N. Pichugin , I. Rotter , P. Seba

Motivated by activities of several experimental groups we investigate electron transport through two coherent, strongly coupled quantum dots ("double quantum dots"), taking into account both intra- and inter-dot Coulomb interactions. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jasmin Aghassi , Axel Thielmann , Matthias H. Hettler , Gerd Schön

We develop an open quantum theory for shot-noise dynamics in dissipative chiral transport. By mapping a system under consideration onto a quantum circuit, we show that current noise is governed by two competing factors: the average…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 Ming Gong , Masahito Ueda

Shot noise in a chaotic cavity (Lyapunov exponent $\lambda$, level spacing $\delta$, linear dimension $L$), coupled by two $N$-mode point contacts to electron reservoirs, is studied as a measure of the crossover from stochastic quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov , M. C. Goorden , C. W. J. Beenakker

We consider electrical transport through single molecules coupled to metal electrodes via tunneling barriers. Approximating the molecule by the Anderson impurity model as the simplest model which includes Coulomb charging effects, we extend…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Axel Thielmann , Matthias H. Hettler , Jürgen König , Gerd Schön

Spin-dependent transport through a two-level quantum dot in the sequential tunneling regime is analyzed theoretically by means of a real-time diagrammatic technique. It is shown that the current, tunnel magnetoresistance, and shot noise…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 I. Weymann , J. Barnas

We investigate the shot noise for phase-coherent quantum transport in the chaotic-to-regular crossover regime. Employing the Modular Recursive Green's Function Method for both ballistic and disordered two-dimensional cavities we find the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Aigner , S. Rotter , J. Burgdorfer

Quantum shot noise probes the dynamics of charge transfers through a quantum conductor, reflecting whether quasiparticles flow across the conductor in a steady stream, or in syncopated bursts. We have performed high-sensitivity shot noise…

Semiclassical methods can now explain many mesoscopic effects (shot-noise, conductance fluctuations, etc) in clean chaotic systems, such as chaotic quantum dots. In the deep classical limit (wavelength much less than system size) the…

Mesoscale and Nanoscale Physics · Physics 2020-12-21 Robert S. Whitney

We study the joint statistics of conductance $G$ and shot noise $P$ in chaotic cavities supporting a large number $N$ of open electronic channels in the two attached leads. We determine the full phase diagram in the $(G,P)$ plane, employing…

Statistical Mechanics · Physics 2015-06-22 Fabio Deelan Cunden , Paolo Facchi , Pierpaolo Vivo

We consider universal shot noise in ballistic chaotic cavities from a semiclassical point of view and show that it is due to action correlations within certain groups of classical trajectories. Using quantum graphs as a model system we sum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Holger Schanz , Mathias Puhlmann , Theo Geisel

We study the weak localization effect in quantum transport through a clean ballistic cavity with regular classical dynamics. We address the question which paths account for the suppression of conductance through a system where disorder and…

Mesoscale and Nanoscale Physics · Physics 2008-04-16 Iva Brezinova , Christoph Stampfer , Ludger Wirtz , Stefan Rotter , Joachim Burgdorfer

Electrical and thermal transport on a fractional quantum Hall edge are determined by topological quantities inherited from the corresponding bulk state. While electrical transport is the standard method for studying edges, thermal transport…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 Christian Spånslätt , Jinhong Park , Yuval Gefen , Alexander D. Mirlin

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 examine the full counting statistics of quantum dots, which display super-Poissonian shot noise. By an extension to a generic situation with many excited states we identify the underlying transport process. The statistics is a sum of…

Strongly Correlated Electrons · Physics 2007-05-23 W. Belzig

We show that in clean chaotic cavities the power of shot noise takes a universal form. Our predictions go beyond previous results from random-matrix theory, in covering the experimentally relevant case of few channels. Following a…

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