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The effect of an invasive voltage probe on the phase-coherent conduction through a ballistic chaotic cavity is investigated by random-matrix theory. The entire distribution P(G) of the conductance G is computed for the case that the cavity…

Condensed Matter · Physics 2007-05-23 P. W. Brouwer , C. W. J. Beenakker

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

We have computed the probability distribution of the conductance of a ballistic and chaotic cavity which is connected to two electron reservoirs by leads with a single propagating mode, for arbitrary values of the transmission probability…

Condensed Matter · Physics 2007-05-23 P. W. Brouwer , C. W. J. Beenakker

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 study the Coulomb blockade in a chaotic cavity connected to a lead by a perfectly transmitting quantum channel. In contrast to the previous theories, we show that the quantum fluctuations of charge, resulting from the perfect…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 I. L. Aleiner , L. I. Glazman

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 study the chaotic scattering through an Aharonov-Bohm ring containing two cavities. One of the cavities has well-separated resonant levels while the other is chaotic, and is treated by random matrix theory. The conductance through the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kazutaka Takahashi , Tomosuke Aono

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

By an inductive reasoning, and based on recent results of the joint moments of proper delay times of open chaotic systems for ideal coupling to leads, we obtain a general expression for the distribution of the partial delay times for an…

Mesoscale and Nanoscale Physics · Physics 2017-11-28 A. M. Martínez-Argüello , A. A. Fernández-Marín , M. Martínez-Mares

We deduce the effects of quantum interference on the conductance of chaotic cavities by using a statistical ansatz for the S matrix. Assuming that the circular ensembles describe the S matrix of a chaotic cavity, we find that the…

Condensed Matter · Physics 2009-10-22 Harold U. Baranger , Pier A. Mello

We study transport through a two-dimensional billiard attached to two infinite leads by numerically calculating the Landauer conductance and the Wigner time delay. In the generic case of a mixed phase space we find a power law distribution…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Bodo Huckestein , Roland Ketzmerick , Caio H. Lewenkopf

The statistical properties of quantum transport through a chaotic cavity are encoded in the traces $\T={\rm Tr}(tt^\dag)^n$, where $t$ is the transmission matrix. Within the Random Matrix Theory approach, these traces are random variables…

Mesoscale and Nanoscale Physics · Physics 2008-08-04 Marcel Novaes

We consider the problem of a semiclassical description of quantum chaotic transport, when a tunnel barrier is present in one of the leads. Using a semiclassical approach formulated in terms of a matrix model, we obtain transport moments as…

Chaotic Dynamics · Physics 2022-07-06 Pedro H. S. Bento , Marcel Novaes

It is shown that conductance fluctuations due to phase coherent ballistic transport through a chaotic cavity generically are fractals. The graph of conductance vs. externally changed parameter, e.g. magnetic field, is a fractal with…

Condensed Matter · Physics 2009-10-28 Roland Ketzmerick

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

The scattering phase shift of an electron transferred through a quantum dot is studied within a model Hamiltonian, accounting for both the electron--electron interaction in the dot and a finite temperature. It is shown that, unlike in an…

Condensed Matter · Physics 2009-10-28 Yuval Oreg , Yuval Gefen

We extend previous studies on transport through ballistic chaotic cavities with spatial left-right (LR) reflection symmetry to include the presence of direct processes. We first analyze fully LR-symmetric systems in the presence of direct…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Martinez , P. A. Mello

A method is proposed for studying wave and particle transport in disordered waveguide systems of dimension higher than unity by means of exact one-dimensionalization of the dynamic equations in the mode representation. As a particular case,…

Disordered Systems and Neural Networks · Physics 2013-01-31 Yu. V. Tarasov

We evaluate the phase-coherent transport of electrons along linear structures of varying length, which are made from two types of potential wells set in either a periodic or a Fibonacci quasi-periodic sequence. The array is described by a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. R. Bakhtiari , P. Vignolo , M. P. Tosi

We study the conductance statistical features of ballistic electrons flowing through a chaotic quantum dot. We show how the temperature affects the universal conductance fluctuations by analyzing the influence of dephasing and thermal…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. R. P. Alves , C. H. Lewenkopf
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