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The conductance in Coulomb blockade quantum dots exhibits sharp peaks whose spacings fluctuate with the number of electrons. We derive the temperature-dependence of these fluctuations in the statistical regime and compare with recent…

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

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

Transport measurements at cryogenic temperatures through a few electron top gated quantum dot fabricated in a silicon/silicon-germanium heterostructure are reported. Variations in gate voltage induce a transition from an isolated dot toward…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Levente J. Klein , Donald E. Savage , Mark A. Eriksson

A random interaction matrix model is used to study the statistics of conductance peak heights in Coulomb blockade quantum dots. When the single-particle dynamics conserves time-reversal symmetry, the peak height statistics is insensitive to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Alhassid , A. Wobst

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 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 study a quantum dot connected to the bulk by single-mode junctions at almost perfect conductance. Although the average charge $e\langle N \rangle$ of the dot is not discrete, its spin remains quantized: $s=1/2$ or $s=0$, depending…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 L. I. Glazman , F. W. J. Hekking , A. I. Larkin

We consider electron-electron interaction effects in quantum point contacts on the first quantization plateau, taking into account all scattering processes. We compute the low-temperature linear and nonlinear conductance, shot noise, and…

Mesoscale and Nanoscale Physics · Physics 2009-02-27 A. M. Lunde , A. De Martino , A. Schulz , R. Egger , K. Flensberg

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

Using exact-diagonalization of small clusters and Dyson equation embedding techniques, the conductance $G$ of linear arrays of quantum dots is investigated. The Hubbard interaction induces Kondo peaks at low temperatures for an odd number…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. A. Büsser , Adriana Moreo , Elbio Dagotto

We review the mechanisms of low-temperature electron transport across a quantum dot weakly coupled to two conducting leads. Conduction in this case is controlled by the interaction between electrons. At temperatures moderately lower than…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. I. Glazman , M. Pustilnik

The zero-bias anomaly at low temperatures, originated by the Kondo effect when an electric current flows through a system formed by a spin-$1/2$ quantum dot and two metallic contacts is theoretically investigated. In particular, we compare…

Strongly Correlated Electrons · Physics 2018-12-07 Diego Pérez Daroca , Pablo Roura-Bas , Armando A. Aligia

We perform self-consistent quantum transport calculations in open quantum dots taking into account the effect of electron interaction. We demonstrative that in the regime of the ultralow temperatures $2\pi k_BT\lesssim\Delta$ ($\Delta $…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Ihnatsenka , I. V. Zozoulenko

Fluctuation of Coulomb blockade peak spacings in large two-dimensional semiconductor quantum dots are studied within a model based on the electrostatics of several electron islands among which there are random inductive and capacitive…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yshai Avishai , Daniel Berend , Richard Berkovits

We investigate the influence of an electromagnetic environment, characterized by a finite impedance $Z(\omega)$, on the Kondo effect in quantum dots. The circuit voltage fluctuations couple to charge fluctuations in the dot and influence…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Serge Florens , Pascal Simon , Sabine Andergassen , Denis Feinberg

We study the effect of electron-electron interaction on the conductance of open quantum dots. We find that Coulomb interactions (i) do not affect the ensemble averaged conductance <G> if time-reversal symmetry has been broken by a magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. W. Brouwer , I. L. Aleiner

We obtain a microscopic description of the interaction between electron spins in bulk semiconductors and in pairs of semiconductor quantum dots. Treating the k.p band mixing and the Coulomb interaction on the same footing, we obtain in the…

Other Condensed Matter · Physics 2007-05-23 Ş. C. Bădescu , Y. Lyanda-Geller , T. L. Reinecke

We investigate the effects of spin-orbit interaction (SOI) on the exchange cotunneling through a spinful Coulomb blockaded quantum dot. In the case of zero magnetic field, Kondo effect is shown to take place via a Kramers doublet and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 J. Paaske , A. Andersen , K. Flensberg

We discuss the calculation of the linear conductance through a Coulomb-blockade quantum dot in the presence of interactions beyond the charging energy. In the limit where the temperature is large compared with a typical tunneling width, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. Alhassid , T. Rupp , A. Kaminski , L. I. Glazman

We use spin-density-functional theory to study the spacing between conductance peaks and the ground-state spin of 2D model quantum dots with up to 200 electrons. Distributions for different ranges of electron number are obtained in both…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hong Jiang , Harold U. Baranger , Weitao Yang