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We derive a closed expression for the linear conductance through a quantum dot in the Coulomb-blockade regime in the presence of a constant exchange interaction. With this expression we calculate the temperature dependence of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. Alhassid , T. Rupp

We study the effect of the exchange interaction on the Coulomb blockade peak height statistics in chaotic quantum dots. Because exchange reduces the level repulsion in the many body spectrum, it strongly affects the fluctuations of the peak…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Gonzalo Usaj , Harold U. Baranger

We introduce a random interaction matrix model (RIMM) for finite-size strongly interacting fermionic systems whose single-particle dynamics is chaotic. The model is applied to Coulomb blockade quantum dots with irregular shape to describe…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Alhassid , Ph. Jacquod , A. Wobst

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 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

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 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

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

For Coulomb blockade peaks in the linear conductance of a quantum dot, we study the correction to the spacing between the peaks due to dot-lead coupling. This coupling can affect measurements in which Coulomb blockade phenomena are used as…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Serguei Vorojtsov , Harold U. Baranger

We use a Hartree-Fock-Koopmans approach to study spin and interaction effects in a diffusive or chaotic quantum dot. In particular, we derive the statistics of the spacings between successive Coulomb-blockade peaks. We include fluctuations…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. Alhassid , S. Malhotra

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

Within random matrix theory for quantum dots, both the dot's one-particle eigenlevels and the dot-lead couplings are statistically distributed. While the effect of the latter on the conductance is obvious and has been taken into account in…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. Held , E. Eisenberg , B. L. Altshuler

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

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

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 investigate the influence of interactions and geometry on ground states of clean chaotic quantum dots using the self-consistent Hartree-Fock method. We find two distinct regimes of interaction strength: While capacitive energy…

Disordered Systems and Neural Networks · Physics 2009-10-31 Kang-Hun Ahn , Klaus Richter , In-Ho Lee

We review the quantum interference effects in a system of interacting electrons confined to a quantum dot. The review starts with a description of an isolated quantum dot. We discuss the status of the Random Matrix theory (RMT) of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. L. Aleiner , P. W. Brouwer , L. I. Glazman

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

The temperature dependence of Coulomb blockade peaks of a one dimensional quantum dot is calculated. The Coulomb interaction is treated microscopically using the Luttinger liquid model. The electron interaction is assumed to be…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 T. Kleimann , M. Sassetti , B. Kramer

We use random matrix models to investigate the ground state energy of electrons confined to a nanoparticle. Our expression for the energy includes the charging effect, the single-particle energies, and the residual screened interactions…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Denis Ullmo , Harold U. Baranger
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