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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

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 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 study the statistics of level widths of a quantum dot with extended contacts in the absence of time-reversal symmetry. The widths are determined by the amplitude of the wavefunction averaged over the contact area. The distribution…

Condensed Matter · Physics 2009-10-22 E. R. Mucciolo , V. N. Prigodin , B. L. Altshuler

We study adiabatic quantum pumping in the resonant tunneling regime of a nearly-closed quantum dot, which is coupled to two leads via tunneling barriers. Using small cyclic variations of the tunneling rates of the barriers as the pumping…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Blaauboer , E. J. Heller

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 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 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

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

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

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

Distributions of Coulomb blockade peak spacing are reported for large ensembles of both unbroken (magnetic field B = 0) and broken (B <> 0) time reversal symmetry in GaAs quantum dots. Both distributions are symmetric and roughly gaussian…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. R. Patel , S. M. Cronenwett , D. R. Stewart , A. G. Huibers , C. M. Marcus , C. I. Duruoz , J. S. Harris , K. Campman , A. C. Gossard

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

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

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

For a quantum dot (QD) in the intermediate regime between integrable and fully chaotic, the widths of single-particle levels naturally differ by orders of magnitude. In particular, the width of one strongly coupled level may be larger than…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov , Y. Imry

We study the effects of short-time classical dynamics on the distribution of Coulomb blockade peak heights in a chaotic quantum dot. The location of one or both leads relative to the short unstable orbits, as well as relative to the…

Chaotic Dynamics · Physics 2009-08-14 L. Kaplan

Coulomb blockade (CB) in a quantum dot (QD) with one anomalously broad level is considered. In this case many consecutive pronounced CB peaks correspond to occupation of one and the same broad level. Between the peaks the electron jumps…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov , Y. Imry

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
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