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Scaling laws and universality play an important role in our understanding of critical phenomena and the Kondo effect. Here we present measurements of non-equilibrium transport through a single-channel Kondo quantum dot at low temperature…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Grobis , I. G. Rau , R. M. Potok , H. Shtrikman , D. Goldhaber-Gordon

We consider quantum transport of spinless fermions in a 1D lattice embedding an interacting region (two sites with inter-site repulsion U and inter-site hopping td, coupled to leads by hopping terms tc). Using the numerical renormalization…

Mesoscale and Nanoscale Physics · Physics 2010-02-09 Axel Freyn , Jean-Louis Pichard

We consider scattering of spinless fermions by an inversion-symmetric interacting model characterized by three parameters (interaction U, internal hopping t_d and coupling t_c). Mapping this spinless model onto an Anderson model with Zeeman…

Mesoscale and Nanoscale Physics · Physics 2009-04-07 Axel Freyn , Jean-Louis Pichard

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

Although the conductance of a closed Aharonov-Bohm interferometer, with a quantum dot on one branch, obeys the Onsager symmetry under magnetic field reversal, it needs not be a periodic function of this field: the conductance maxima move…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Amnon Aharony , Ora Entin-Wohlman , Tomohiro Otsuka , Shingo Katsumoto , Hisashi Aikawa , Kensuke Kobayashi

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 report measurements of conductance distribution in a set of quasi-one-dimensional gold wires. The distribution includes the second cumulant or the variance which describes the universal conductance fluctuations, and the third cumulant…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Mohanty , R. A. Webb

We study fluctuations of electric current in a quantum resistor and derive a general quantum-mechanical formula for the distribution of transmitted charge. For that we introduce a scheme of current measurement that involves a spin $1/2$…

Condensed Matter · Physics 2007-05-23 L. S. Levitov , G. B. Lesovik

Anisotropic disordered system are studied in this work within the random barrier model. In such systems the transition probabilities in different directions have different probability density functions. The frequency-dependent conductivity…

Statistical Mechanics · Physics 2009-11-10 Sebastian Bustingorry

We perform a detailed numerical study of the conductance $G$ through one-dimensional (1D) tight-binding wires with on-site disorder. The random configurations of the on-site energies $\epsilon$ of the tight-binding Hamiltonian are…

Disordered Systems and Neural Networks · Physics 2016-04-05 J. A. Mendez-Bermudez , A. J. Martinez-Mendoza , V. A. Gopar , I. Varga

We have investigated the time-modulated coherent quantum transport phenomena in a ballistic open quantum dot. The conductance $G$ and the electron dwell time in the dots are calculated by a time-dependent mode-matching method. Under…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. S. Tang , Y. H. Tan , C. S. Chu

A single-mode microcavity with an embedded Aharonov-Bohm quantum ring, which is pierced by a magnetic flux and subjected to a lateral electric field, is studied theoretically. It is shown that external electric and magnetic fields provide…

Mesoscale and Nanoscale Physics · Physics 2014-09-02 A. M. Alexeev , I. A. Shelykh , M. E. Portnoi

We identify a \emph{universal functional form} that governs anticoncentration in random quantum circuits-one that holds across diverse circuit architectures and depths, and crucially remains valid even at finite system sizes and shallow…

Quantum Physics · Physics 2025-07-08 Arman Sauliere , Beatrice Magni , Guglielmo Lami , Xhek Turkeshi , Jacopo De Nardis

The probability distribution of the conductance Pc(g) at the Anderson critical point is calculated. It is find that Pc(g) has a dip at small g in agreement with epsilon expansion results. The Pc(g) for the 3d system is quite different from…

Disordered Systems and Neural Networks · Physics 2009-10-31 C. M. Soukoulis , Xiaosha Wang , Qiming Li , M. M. Sigalas

Diffusion of electrons in a two-dimensional system with time-dependent random potentials is investigated numerically. In the absence of spin-orbit scattering, the conductivity shows universal weak localization correction. In the presence of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Takeshi Nakanishi , Tomi Ohtsuki

Within random matrix theory for quantum dots, both the dot's one-particle eigenlevels and the dot-lead couplings are statistically distributed. While the effect of the latter on the conductance is obvious and has been taken into account in…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. Held , E. Eisenberg , B. L. Altshuler

We present a statistical readout method for quantum interferences based on time series analysis of consecutive single electron transfers through a double quantum dot Aharonov-Bohm interferometer. Waiting time distributions qualitatively…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Sven Welack , Shaul Mukamel , YiJing Yan

The fluctuations and the distribution of the conductance peak spacings of a quantum dot in the Coulomb-blockade regime are studied and compared with the predictions of random matrix theory (RMT). The experimental data were obtained in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 F. Simmel , T. Heinzel , D. A. Wharam

The Thouless conjecture states that the average conductance of a disordered metallic sample in the diffusive regime can be related to the sensitivity of the sample's spectrum to a change in the boundary conditions. Here we present results…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 D. Braun , E. Hofstetter , G. Montambaux , A. MacKinnon

The Aharonov-Bohm effect is investigated in two-dimensional, single-terminal quantum rings in magnetic fields by using time-dependent density-functional theory. We find multiple transport loops leading to the oscillation periods of h/(en),…

Strongly Correlated Electrons · Physics 2010-06-22 V. Kotimaki , E. Rasanen