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Related papers: Semiclassical Theory of Quantum Chaotic Transport:…

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We add simple tunnelling effects and ray-splitting into the recent trajectory-based semiclassical theory of quantum chaotic transport. We use this to derive the weak-localization correction to conductance and the shot-noise for a quantum…

Mesoscale and Nanoscale Physics · Physics 2007-11-03 Robert S. Whitney

Quantum effects are expected to disappear in the short-wavelength, semiclassical limit. As a matter of fact, recent investigations of transport through quantum chaotic systems have demonstrated the exponential suppression of the weak…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Daniel Waltner , Jack Kuipers , Philippe Jacquod , Klaus Richter

We investigate the behavior of weak localization, conductance fluctuations, and shot noise of a chaotic scatterer in the semiclassical limit. Time resolved numerical results, obtained by truncating the time-evolution of a kicked quantum map…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Saar Rahav , Piet W. Brouwer

We investigate the effect of dephasing/decoherence on quantum transport through open chaotic ballistic conductors in the semiclassical limit of small Fermi wavelength to system size ratio, $\lambda_F/L << 1$. We use the trajectory-based…

Mesoscale and Nanoscale Physics · Physics 2008-02-17 Robert S. Whitney , Philippe Jacquod , Cyril Petitjean

We present a semiclassical theory for the scattering matrix ${\cal S}$ of a chaotic ballistic cavity at finite Ehrenfest time. Using a phase-space representation coupled with a multi-bounce expansion, we show how the Liouville conservation…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Robert S. Whitney , Ph. Jacquod

This paper is withdrawn. While almost all findings reported here remain valid, some of our comments on the fate of weak localization corrections to the conductance in the deep semiclassical limit are now obsolete. Contrarily to what was…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ph. Jacquod , Robert S. Whitney

We construct a trajectory-based semiclassical theory of shot noise in clean chaotic cavities. In the universal regime of vanishing Ehrenfest time $\tE$, we reproduce the random matrix theory result, and show that the Fano factor is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Robert S. Whitney , Philippe Jacquod

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 investigate the transport properties of open quantum chaotic systems in the semiclassical limit. We show how the transmission spectrum, the conductance fluctuations, and their correlations are influenced by the underlying chaotic…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Ph. Jacquod , E. V. Sukhorukov

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 present a refined semiclassical approach to the Landauer conductance and Kubo conductivity of clean chaotic mesoscopic systems. We demonstrate for systems with uniformly hyperbolic dynamics that including off-diagonal contributions to…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Klaus Richter , Martin Sieber

We define a current-conserving approximation for the local conductivity tensor of a disordered system which includes the effects of weak localization. Using this approximation we show that the weak localization effect in conductance is not…

Condensed Matter · Physics 2009-10-22 Matthew B. Hastings , A. Douglas Stone , Harold U. Baranger

In ballistic conductors, there is a low-time threshold for the appearance of quantum effects in transport coefficients. This low-time threshold is the Ehrenfest time. Most previous studies of the Ehrenfest-time dependence of quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Piet W. Brouwer

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

This is a study of phase-coherent conduction through a ballistic point contact with disordered leads. The disorder imposes mesoscopic (sample-to-sample) fluctuations and weak-localization corrections on the conductance, and also leads to…

Condensed Matter · Physics 2007-05-23 C. W. J. Beenakker , J. A. Melsen

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

In this work - the second of a pair of articles - we consider transport through spatially symmetric quantum dots with leads whose widths or positions do not obey the spatial symmetry. We use the semiclassical theory of transport to find the…

Mesoscale and Nanoscale Physics · Physics 2009-11-26 Robert S. Whitney , Henning Schomerus , Marten Kopp

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 present a semiconductor master equation technique to study the input/output characteristics of coherent photon transport in a semiconductor waveguide-cavity system containing a single quantum dot. We use this approach to investigate the…

Quantum Physics · Physics 2013-05-31 S. Hughes , C. Roy

Semiclassical theory predicts that the weak localization correction to the conductance of a ballistic chaotic cavity is suppressed if the Ehrenfest time exceeds the dwell time in the cavity [I. L. Aleiner and A. I. Larkin, Phys. Rev. B {\bf…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Saar Rahav , Piet W. Brouwer
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