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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

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 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

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 derive closed expressions for the universal weak localization peak of the average conductance peak heights in Coulomb blockade quantum dots in the crossover from orthogonal to unitary symmetry. The scale for the crossover is independent…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Alhassid

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

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

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

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 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

We show that randomness of the electron wave functions in a quantum dot contributes to the fluctuations of the positions of the conductance peaks. This contribution grows with the conductance of the junctions connecting the dot to the…

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

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

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

We study the relation between the barrier conductance and the Coulomb blockade peak splitting for two electrostatically equivalent dots connected by tunneling channels with bandwidths much larger than the dot charging energies. We note that…

Condensed Matter · Physics 2009-10-28 John M. Golden , Bertrand I. Halperin

We study theoretically a quantum dot in the quantum Hall regime that is strongly coupled to a single lead via a point contact. We find that even when the transmission through the point contact is perfect, important features of the Coulomb…

Condensed Matter · Physics 2009-10-28 Hangmo Yi , C. L. Kane

We investigate the effect of local Coulomb correlations on electronic transport through a variety of coupled quantum dot systems connected to Fermi liquid leads. We use a newly developed functional renormalization group scheme to compute…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. Karrasch , T. Enss , V. Meden

This paper establishes the universality of parametric correlations of eigenfunctions in chaotic and weakly disordered systems. We demonstrate this universality in the framework of the gaussian random matrix process and obtain predictions…

Condensed Matter · Physics 2016-08-31 Y. Alhassid , H. Attias

We consider how the absence of thermalisation affects the classical Coulomb blockade regime in quantum dots. By solving the quantum kinetic equation in the experimentally accessible regime when the dot has two relevant occupation states, we…

Mesoscale and Nanoscale Physics · Physics 2024-05-22 George McArdle , Rose Davies , Igor V. Lerner , Igor V. Yurkevich

We obtain analytic formulae for the spacing between conductance peaks in the Coulomb blockade regime, based on the universal Hamiltonian model of quantum dots. New random matrix theory results are developed in order to treat correlations…

Mesoscale and Nanoscale Physics · Physics 2008-02-04 D. Herman , T. T. Ong , Gonzalo Usaj , H. Mathur , H. U. Baranger

By using bosonization method and unitary transformation, we give a general relation between the dimensionless tunneling conductance and the fractional Coulomb blockade conductance peak splitting which is valid both for weak and strong…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Yu-Liang Liu
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