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We investigate the autocorrelator of conductance peak heights for quantum dots in the Coulomb blockade regime. Analytical and numerical results based on Random Matrix Theory are presented and compared to exact numerical calculations based…

Condensed Matter · Physics 2015-06-25 Henrik Bruus , Caio H. Lewenkopf , Eduardo R. Mucciolo

We compute the parametric correlation function of the conductance peaks in chaotic and weakly disordered quantum dots in the Coulomb blockade regime and demonstrate its universality upon an appropriate scaling of the parameter. For a…

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

We show that the parametric correlations of the conductance peak amplitudes of a chaotic or weakly disordered quantum dot in the Coulomb blockade regime become universal upon an appropriate scaling of the parameter. We compute the universal…

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

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

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

Closed expressions are derived for the resonance widths and Coulomb blockade conductance peak heights in quantum dots for the crossover regime between conserved and broken time-reversal symmetry. The results hold for leads with any number…

Condensed Matter · Physics 2008-02-03 Y. Alhassid , J. N. Hormuzdiar , N. D. Whelan

We consider statistical correlations between the heights of conductance peaks corresponding to two different levels in a Coulomb-blockaded quantum dot. Correlations exist for two peaks at the same magnetic field if the field does not fully…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Stephan Braig , Shaffique Adam , Piet W. Brouwer

We develop a semiclassical theory of Coulomb blockade peak heights in chaotic quantum dots. Using Berry's conjecture, we calculate the peak height distributions and the correlation functions. We demonstrate that the corrections to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Evgenii E. Narimanov , Harold U. Baranger , Nicholas R. Cerruti , Steven Tomsovic

We extend the theory of Coulomb blockade oscillations to quantum dots which are deformed by the confining potential. We show that shape deformations can generate sequences of conductance resonances which carry the same internal…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 G. Hackenbroich , W. D. Heiss , H. A. Weidenmueller

We study the combined effect of finite temperature, underlying classical dynamics, and deformations on the statistical properties of Coulomb blockade conductance peaks in quantum dots. These effects are considered in the context of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Raul O. Vallejos , Caio H. Lewenkopf , Eduardo R. Mucciolo

Manifestations of quantum coherence in the electronic conductance through nearly closed quantum dots in the Coulomb blockade regime are addressed. We show that quantum coherent tunneling processes explain some puzzling statistical features…

Mesoscale and Nanoscale Physics · Physics 2015-05-26 L. E. F. Foa Torres , C. H. Lewenkopf , H. M. Pastawski

The electrostatic energy of an additional electron on a conducting grain blocks the flow of current through the grain, an effect known as the Coulomb blockade. Current can flow only if two charge states of the grain have the same energy; in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. E. Narimanov , N. R. Cerruti , H. U. Baranger , S. Tomsovic

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

We propose a mechanism to explain the fluctuations of the ground state energy in quantum dots in the Coulomb blockade regime. Employing the random matrix theory we show that shape deformations may change the adjacent peak spacing…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Raul O. Vallejos , Caio H. Lewenkopf , Eduardo R. Mucciolo

We investigate the Coulomb blockade resonances and the phase of the transmission amplitude of a deformed ballistic quantum dot weakly coupled to leads. We show that preferred single--particle levels exist which stay close to the Fermi…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Reinhard Baltin , Yuval Gefen , Gregor Hackenbroich , Hans A. Weidenmueller

We show that two intriguing features of mesoscopic transport, namely the modulation of Coulomb blockade peak-heights and the transmission phase-lapses occurring between subsequent peaks, are closely related. Our analytic arguments are…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Rodolfo A. Jalabert , Rafael A. Molina , Guillaume Weick , Dietmar Weinmann

The rate-equation approach is used to describe sequential tunneling through a molecular junction in the Coulomb blockade regime. Such device is composed of molecular quantum dot (with discrete energy levels) coupled with two metallic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Kamil Walczak

We develop a theory of the conductance of a quantum dot connected to two leads by single-mode quantum point contacts. If the contacts are in the regime of perfect transmission, the conductance shows no Coulomb blockade oscillations as a…

Condensed Matter · Physics 2009-10-28 A. Furusaki , K. A. Matveev

The influence of electron-electron (e-e) interactions on the transmission through a quantum dot is investigated numerically for the Coulomb blockade regime. For vanishing magnetic fields, the conductance peak height statistics is found to…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 R. Berkovits , U. Sivan

The zero bias conductance of quantum dots coupled to ferromagnetic leads is investigated. In the strong coupling regime, it is found that the conductance is a non-monotonic function of the angle between the magnetisation directions in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. Fransson
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