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Aharonov-Bohm mesoscopic solid-state interferometers yield a conductance which contains a term $\cos(\phi+\beta)$, where $\phi$ relates to the magnetic flux. Experiments with a quantum dot on one of the interfering paths aim to relate…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. Entin-Wohlman , A. Aharony , Y. Imry , Y. Levinson , A. Schiller

Properties of the Kondo effect in quantum dots depend sensitively on the coupling parameters and so on the realization of the quantum dot -- the Kondo temperature itself becomes a mesoscopic quantity. Assuming chaotic dynamics in the dot,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. K. Kaul , Denis Ullmo , Harold U. Baranger

The regimes of growing phases (for electron numbers N~0-8) that pass into regions of self-returning phases (for N>8), found recently in quantum dot conductances by the Weizmann group are accounted for by an elementary Green function…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. Yahalom , R. Englman

We use spin-density-functional theory to study the spacing between conductance peaks and the ground-state spin of 2D model quantum dots with up to 200 electrons. Distributions for different ranges of electron number are obtained in both…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hong Jiang , Harold U. Baranger , Weitao Yang

Connections between the electron eigenstates and conductivity of one-dimensional disordered electron systems is studied in the framework of the tight-binding model. We show that for weak disorder only part of the states exhibit resonant…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 A. Eisenbach , Y. Bliokh , V. Freilkher , M. Kaveh , R. Berkovits

We study the Aharonov-Bohm effect in a coupled 2$\times$2 quantum dot array with two-terminals. A striking conductance dip arising from the Fano interference is found as the energy levels of the intermediate dots are mismatched, which is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Z. Y. Zeng , F. Claro , Alejandro Pérez

Recent novel mesoscopic two-arm experiments involving quantum dots, electron interferometry and Aharononov-Bohm effects have enabled measuring the electron transmission probabilities and the phases. Unexpected features in the phases as…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Englman , A. Yahalom

A finite dimensional quantum system for which the quantum chaos conjecture applies has eigenstates, which show the same statistical properties than the column vectors of random orthogonal or unitary matrices. Here, we consider the different…

Mathematical Physics · Physics 2017-10-05 L. Alonso , T. Gorin

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

Ring geometries have fascinated experimental and theoretical physicists over many years. Open rings connected to leads allow the observation of the Aharonov-Bohm effect, a paradigm of quantum mechanical phase coherence. The phase coherence…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Fuhrer , S. Luescher , T. Ihn , T. Heinzel , K. Ensslin , W. Wegscheider , M. Bichler

It is known that the M\"obius function in number theory is higher order oscillating. In this paper we show that there is another kind of higher order oscillating sequences in the form $(e^{2\pi i \alpha \beta^{n}g(\beta)})_{n\in \N}$, for a…

Dynamical Systems · Mathematics 2020-06-02 Shigeki Akiyama , Yunping Jiang

We have measured the flux dependence of both real and imaginary conductance of $GaAs/GaAlAs$ isolated mesoscopic rings at 310 MHz. The rings are coupled to a highly sensitive electromagnetic superconducting micro-resonator and lead to a…

Condensed Matter · Physics 2009-10-28 Bertrand Reulet , Michel Ramin , Helene Bouchiat , Dominique Mailly

We study numerically conductance fluctuations near the integer quantum Hall effect plateau transition. The system is presumed to be in a mesoscopic regime, with phase coherence length comparable to the system size. We focus on a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Sora Cho , Matthew P. A. Fisher

We investigate theoretically the collective charge density wave motion through an ensemble of small disordered Aharonov-Bohm rings. It is shown that the magnetic flux modulates the threshold field and the magnetoresistance with a half flux…

Condensed Matter · Physics 2009-10-30 M. I. Visscher , B. Rejaei

We report on measurements of the magnetoconductance of an open circular InGaAs quantum dot between 1.3K and 204K. We observe two types of magnetoconductance fluctuations: universal conductance fluctuations (UCFs), and 'focusing'…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 B. Hackens , S. Faniel , F. Delfosse , C. Gustin , H. Boutry , I. Huynen , X. Wallaert , S. Bollaert , A. Cappy , V. Bayot

We study the distribution of the resistance fluctuations of biased resistor networks in nonequilibrium steady states. The stationary conditions arise from the competition between two stochastic and biased processes of breaking and recovery…

Statistical Mechanics · Physics 2011-02-17 C. Pennetta , E. Alfinito , L. Reggiani , S. Ruffo

We discuss the optical conductivity of several non-interacting two-dimensional (2D) semiconducting systems focusing on gapped Dirac and Schr\"odinger fermions as well as on a system mixing these two types. Close to the band-gap, we can…

Mesoscale and Nanoscale Physics · Physics 2015-03-09 T. Stauber , D. Noriega-Pérez , J. Schliemann

We study some new universal aspects of diffusion in chaotic systems, especially such having very large Lyapunov coefficients on the chaotic (indecomposable, topologically transitive) component. We do this by discretizing the chaotic…

We study the spin-dependent magneto conductance in mesoscopic rings subject to an inhomogeneous in-plane magnetic field. We show that the polarization direction of transmitted spin-polarized electrons can be controlled via an additional…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Diego Frustaglia , Martina Hentschel , Klaus Richter

The form factor for spectral correlations in a diffusive metal is calculated in the presence of several Aharonov-Bohm fluxes. When the fluxes $\phi$ are equal, the correlations are universal functions of $n g^2 \phi$ where $g$ is the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Gilles Montambaux