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We study the interplay between Coulomb blockade and the Kondo effect in quantum dots. We use a self-consistent scheme which describes mesoscopic devices in terms of a collective phase variable (slave rotor) and quasiparticle degrees of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Florens , P. San Jose , F. Guinea , A. Georges

We study the statistics of the spacing between Coulomb blockade conductance peaks in quantum dots with large dimensionless conductance g. Our starting point is the ``universal Hamiltonian''--valid in the g->oo limit--which includes the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gonzalo Usaj , Harold U. Baranger

The average height of the Coulomb-blockade conductance peaks for chaotic elastic scattering is known to increase by a factor of 4/3 upon breaking time-reversal symmetry. We calculate the temperature dependence of this factor in the regime…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. W. J. Beenakker , H. Schomerus , P. G. Silvestrov

We study influence of electron-electron interaction on statistics of Coulomb blockade peak spacings in disordered quantum dots. It is shown that the interaction combined with fluctuations of eigenfunctions of the Fermi sea, enhances the…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Ya. M. Blanter , A. D. Mirlin , B. A. Muzykantskii

The non-linear response of a beam splitter to the coincident arrival of interacting particles enables numerous applications in quantum engineering and metrology yet poses considerable challenge to achieve focused interactions on the…

We study the effect of electronic interactions on the addition spectra and on the energy level distributions of two-dimensional quantum dots with weak disorder using the self-consistent Hartree-Fock approximation for spinless electrons. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Avraham Cohen , Klaus Richter , Richard Berkovits

We discuss some recent results on the statistics of the Coulomb Blockade in disordered quantum dots containing spinless interacting fermions using the self-consistent Hartree-Fock approximation. We concentrate on the regime r_s >~1, with…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Paul N. Walker , Gilles Montambaux , Yuval Gefen

Single-electron tunneling through a zero-dimensional state in an asymmetric double-barrier resonant-tunneling structure is studied. The broadening of steps in the $I$--$V$ characteristics is found to strongly depend on the polarity of the…

Mesoscale and Nanoscale Physics · Physics 2012-07-25 J. Könemann , B. Kubala , J. König , R. J. Haug

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 study matrix element fluctuations of the two-body screened Coulomb interaction and of the one-body surface charge potential in ballistic quantum dots. For chaotic dots, we use a normalized random wave model to obtain analytic expansions…

Mesoscale and Nanoscale Physics · Physics 2009-09-21 L. Kaplan , Y. Alhassid

We calculate the finite-temperature conductance peak-height distributions in Coublomb-blockade quantum dots in the limit where the inelastic scattering rate in the dot is large compared with the mean elastic tunneling rate. The relative…

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

Measurements of single electron tunneling through a quantum dot using a quantum point contact as charge detector have been performed for very long time traces with very large event counts. This large statistical basis is used for a detailed…

Mesoscale and Nanoscale Physics · Physics 2010-06-04 Christian Fricke , Frank Hohls , Nandhavel Sethubalasubramanian , Lukas Fricke , Rolf J. Haug

It is shown that statistical mechanics is applicable to isolated quantum systems with finite numbers of particles, such as complex atoms, atomic clusters, or quantum dots in solids, where the residual two-body interaction is sufficiently…

Statistical Mechanics · Physics 2016-08-31 V. V. Flambaum , A. A. Gribakina , G. F. Gribakin , I. V. Ponomarev

Interacting electrons in quantum dots with large Thouless number $g$ in the three classical random matrix symmetry classes are well-understood. When a specific type of spin-orbit coupling known to be dominant in two dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ganpathy Murthy

Using a fermionic renormalization group approach we analyse a model where the electrons diffusing on a quantum dot interact via Fermi-liquid interactions. Describing the single-particle states by Random Matrix Theory, we find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ganpathy Murthy , Harsh Mathur

We use Kohn-Sham spin-density-functional theory to study the statistics of ground-state spin and the spacing between conductance peaks in the Coulomb blockade regime for both 2D isolated and realistic quantum dots. We make a systematic…

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

We investigate the effect of electronic correlations on the transmission phase of quantum coherent scatterers, considering quantum dots in the Coulomb blockade regime connected to two single-channel leads. We focus on transmission zeros and…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Rafael A. Molina , Peter Schmitteckert , Dietmar Weinmann , Rodolfo A. Jalabert , Philippe Jacquod

We argue that Coulomb blockade phenomena are a useful probe of the cross-over to strong correlation in quantum dots. Through calculations at low density using variational and diffusion quantum Monte Carlo (up to r_s ~ 55), we find that the…

Mesoscale and Nanoscale Physics · Physics 2009-08-11 A. D. Guclu , A. Ghosal , C. J. Umrigar , H. U. Baranger

We present an experimental study of the fluctuations of Coulomb blockade peak positions of a quantum dot. The dot is defined by patterning the two-dimensional electron gas of a silicon MOSFET structure using stacked gates. This permits…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Simmel , David Abusch-Magder , D. A. Wharam , M. A. Kastner , J. P. Kotthaus

This article is concerned with statistics of addition spectra for systems of identical charged particles. A classical model is suggested in order to study fluctuations of Coulomb blockade peak spacings in large two-dimensional semiconductor…

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