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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

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 investigate the Coulomb blockade in quantum dots asymmetrically coupled to the leads for an arbitrary voltage bias focusing on the regime where electrons do not thermalise during their dwell time in the dot. By solving the quantum…

Mesoscale and Nanoscale Physics · Physics 2023-09-01 George McArdle , Rose Davies , Igor V. Lerner , Igor V. Yurkevich

We study transport through a quantum dot in the fractional quantum Hall regime with filling factors \nu=2/3 and \nu=5/2, weakly coupled to the leads. We account for both injection of electrons to/from the leads, and quasiparticle…

Mesoscale and Nanoscale Physics · Physics 2015-04-22 Alex Kamenev , Yuval Gefen

The charging of a quantum box connected to a lead by a single-mode point contact is solved for arbitrary temperatures, tunneling amplitudes, and gate voltages, using a variant of Wilson's numerical renormalization group. The charge inside…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eran Lebanon , Avraham Schiller , Frithjof B. Anders

We investigate the stability of few-electron quantum phases in vertically coupled quantum dots under a magnetic field of arbitrary strength and direction. The orbital and spin stability diagrams of realistic devices containing up to five…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Devis Bellucci , Massimo Rontani , Guido Goldoni , Elisa Molinari

We investigate theoretically the transport properties of the side-coupled double quantum dots in connection with the experimental study of Sasaki {\it et al.} Phys.Rev.Lett.{\bf 103}, 266806 (2009). The novelty of the set-up consists in…

Mesoscale and Nanoscale Physics · Physics 2016-08-14 A. Aldea , M. Ţolea , I. V. Dinu

We study the effect of spin-orbit scattering on the statistics of the conductance of a quantum dot for Coulomb blockade peaks and valleys. We find the distribution function of the peak heights for strong spin-orbit scattering in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Ahmadian , I. L. Aleiner

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

Decoherence in nearly-isolated GaAs quantum dots is investigated using the change in average Coulomb blockade peak height upon breaking time-reversal symmetry. The normalized change in average peak height approaches the predicted universal…

Mesoscale and Nanoscale Physics · Physics 2012-11-19 J. A. Folk , C. M. Marcus , J. S. Harris

Using the Landauer formula and a random matrix model, we investigate the autocorrelation function of the conductance versus magnetic field strength for ballistic electron transport through few-channel microstructures with the shape of a…

Disordered Systems and Neural Networks · Physics 2009-10-31 P. -B. Gossiaux , Z. Pluhar , H. A. Weidenmueller

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 observed the recently predicted quantum suppression of dynamical Coulomb blockade on short coherent conductors by measuring the conductance of a quantum point contact embedded in a tunable on-chip circuit. Taking advantage of the circuit…

Mesoscale and Nanoscale Physics · Physics 2008-01-08 C. Altimiras , U. Gennser , A. Cavanna , D. Mailly , F. Pierre

Interfacing s-wave superconductors and quantum spin Hall edges produces time-reversal-invariant topological superconductivity of a type that can not arise in strictly 1D systems. With the aim of establishing sharp fingerprints of this novel…

Mesoscale and Nanoscale Physics · Physics 2016-10-13 David Aasen , Shu-Ping Lee , Torsten Karzig , Jason Alicea

We report transport measurements on a semiconductor quantum dot with a small number of confined electrons. In the Coulomb blockade regime, conduction is dominated by cotunneling processes. These can be either elastic or inelastic, depending…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. De Franceschi , S. Sasaki , J. M. Elzerman , W. G. van der Wiel , S. Tarucha , L. P. Kouwenhoven

We present an interpolative method for describing coherent transport through an interacting quantum dot. The idea of the method is to construct an approximate electron self-energy which becomes exact both in the limits of weak and strong…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 A. Levy Yeyati , A. Martin-Rodero , F. Flores

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 study inelastic cotunneling through a strong Coulomb-blockaded quantum dot subject to a static magnetic field and a perpendicular circularly-polarized magnetic field using a quantum Langevin equation approach. Our calculation predicts an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Bing Dong , X. L. Lei

We examine a quantum dot with $N_{\rm dot}$ levels which is strongly coupled to leads for varying number of channels $N$ in the leads. It is shown both analytically and numerically that for strong couplings between the dot and the leads, at…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Richard Berkovits , Felix von Oppen , Jan W. Kantelhardt

Current auto- and cross-correlations are studied in a system of two capacitively coupled quantum dots. We are interested in a role of Coulomb interaction in dynamical correlations, which occur outside the Coulomb blockade region (for high…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Grzegorz Michalek , Bogdan R. Bulka
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