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Full distributions of conductance through quantum dots with single-mode leads are reported for both broken and unbroken time-reversal symmetry. Distributions are nongaussian and agree well with random matrix theory calculations that account…

Mesoscale and Nanoscale Physics · Physics 2012-08-27 A. G. Huibers , S. R. Patel , C. M. Marcus , P. W. Brouwer , C. I. Duruoz , J. S. Harris,

We study the conductance (g) distribution function of an ensemble of isolated conducting rings, with an Aharonov--Bohm flux. This is done in the discrete spectrum limit, i.e., when the inelastic rate, frequency and temperature are all…

Condensed Matter · Physics 2009-10-22 Alex Kamenev , Yuval Gefen

Using a modification of the Shapiro approach, we introduce the two-parameter family of conductance distributions W(g), defined by simple differential equations, which are in the one-to-one correspondence with conductance distributions for…

Disordered Systems and Neural Networks · Physics 2017-08-02 I. M. Suslov

We study the effect of left-right symmetry on the distribution of the parametric derivative of the dimensionless conductance T with respect to an external parameter X, dT/dX, of ballistic chaotic cavities with two leads, each supporting N…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Martinez-Mares , E. Castano

The conductance of a ballistic quantum dot (having chaotic classical dynamics and being coupled by ballistic point contacts to two electron reservoirs) is computed on the single assumption that its scattering matrix is a member of Dyson's…

Condensed Matter · Physics 2009-10-22 R. A. Jalabert , J. -L. Pichard , C. W. J. Beenakker

Analytical expressions for the width and conductance peak distributions of irregularly shaped quantum dots in the Coulomb blockade regime are presented in the limits of conserved and broken time-reversal symmetry. The results are obtained…

Condensed Matter · Physics 2009-10-28 Y. Alhassid , C. H. Lewenkopf

Within the random matrix theory approach to quantum scattering, we derive the distribution of the Wigner-Smith time delay matrix $\mathcal{Q}$ for a chaotic cavity with uniform absorption, coupled via $N$ perfect channels. In the unitary…

Mathematical Physics · Physics 2020-01-29 Aurélien Grabsch

A quantum-mechanical calculation of conductance in an open quantum dot is performed in the Landauer-B\"{u}ttiker formalism using a tight binding Hamiltonian with direct Coulomb interaction. The charge distribution in the dot is calculated…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Aldea , A. Manolescu , V. Moldoveanu

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 derive the finite temperature conductance peak distributions and peak-to-peak correlations for quantum dots in the Coulomb blockade regime assuming the validity of random matrix theory. The distributions are universal, depending only on…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Alhassid , M. Gokcedag , A. D. Stone

Low-temperature transport properties of a lateral quantum dot formed by overlaying finger gates in a clean one-dimensional channel are investigated. Continuous and periodic oscillations superimposed upon ballistic conductance steps are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. A. Tkachenko , V. A. Tkachenko , D. G. Baksheyev , C. -T. Liang , M. Y. Simmons , C. G. Smith , D. A. Ritchie , Gil-Ho Kim , M. Pepper

We have studied the conductance distribution function of two-dimensional disordered noninteracting systems in the crossover regime between the diffusive and the localized phases. The distribution is entirely determined by the mean…

Disordered Systems and Neural Networks · Physics 2015-05-14 A. M. Somoza , J. Prior , M. Ortuno , I. V. Lerner

Analytical expressions for width and conductance peak distributions for quantum dots with multi-channel leads in the Coulomb blockade regime are presented for both limits of conserved and broken time-reversal symmetry. The results are valid…

Condensed Matter · Physics 2009-10-28 Y. Alhassid , C. H. Lewenkopf

We propose the autocorrelator of conductance peak heights as a signature of the underlying chaotic dynamics in quantum dots in the Coulomb blockade regime. This correlation function is directly accessible to experiments and its decay width…

Condensed Matter · Physics 2009-10-28 Henrik Bruus , Caio H. Lewenkopf , Eduardo R. Mucciolo

The statistical properties of the conductance of one dimensional disordered systems are studied at finite bias voltage V and temperature T, in an independent-electron picture. We calculate the complete distribution of the conductance P(G)…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Victor A. Gopar , Peter Woelfle

We calculate the joint probability distribution of the Wigner-Smith time-delay matrix $Q=-i\hbar S^{-1} \partial S/\partial \epsilon$ and the scattering matrix $S$ for scattering from a chaotic cavity with ideal point contacts. Hereto we…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. W. Brouwer , K. M. Frahm , C. W. J. Beenakker

We study the distribution of transmission eigenvalues of a quantum point contact with nearby impurities. In the semi-classical case (the chemical potential lies at the conductance plateau) we find that the transmission properties of this…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. Campagnano , O. N. Jouravlev , Ya. M. Blanter , Yu. V. Nazarov

We present a simple measure of the conductance fluctuations in open ballistic chaotic quantum dots, extending the number of maxima method originally proposed for the statistical analysis of compound nuclear reactions. The average number of…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 J. G. G. S. Ramos , D. Bazeia , M. S. Hussein , C. H. Lewenkopf

Random matrix theory can be used to describe the transport properties of a chaotic quantum dot coupled to leads. In such a description, two approaches have been taken in the literature, considering either the Hamiltonian of the dot or its…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M L Polianski , P W Brouwer

We study the Kondo effect in a quantum dot driven out of equilibrium by an external ac field. The Kondo effect can be probed by measuring the dc current induced by an auxiliary dc bias $V_{dc}$ applied across the dot. In the absence of ac…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Kaminski , Yu. V. Nazarov , L. I. Glazman
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