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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 study theoretically a quantum dot in the quantum Hall regime that is strongly coupled to a single lead via a point contact. We find that even when the transmission through the point contact is perfect, important features of the Coulomb…

Condensed Matter · Physics 2009-10-28 Hangmo Yi , C. L. Kane

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

We develop a theory of the conductance of a quantum dot connected to two leads by single-mode quantum point contacts. If the contacts are in the regime of perfect transmission, the conductance shows no Coulomb blockade oscillations as a…

Condensed Matter · Physics 2009-10-28 A. Furusaki , K. A. Matveev

Electronic states and transport phenomena in semiconductor quantum dots are studied theoretically. Taking account of the electron-electron Coulomb interaction by the exact diagonalization method, the ground state and low-lying excited…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Mikio Eto

We review mechanisms of low-temperature electronic transport through a quantum dot weakly coupled to two conducting leads. Transport in this case is dominated by electron-electron interaction. At temperatures moderately lower than the…

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

Distributions of electron waiting times have been measured in several recent experiments and have been shown to provide complementary information compared to what can be learned from the electric current fluctuations. Existing theories,…

Mesoscale and Nanoscale Physics · Physics 2021-08-26 Philipp Stegmann , Björn Sothmann , Jürgen König , Christian Flindt

Tunneling through two vertically coupled quantum dots is studied by means of a Pauli master equation model. The observation of double peaks in the current-voltage characteristic in a recent experiment is analyzed in terms of the tunnel…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 H. Sprekeler , G. Kiesslich , A. Wacker , E. Schoell

A system consisting of two independently contacted quantum dots with strong electrostatic interaction shows interdot Coulomb blockade when the dots are weakly tunnel coupled to their leads. It is studied experimentally how the blockade can…

Strongly Correlated Electrons · Physics 2008-11-18 A. Hübel , K. Held , J. Weis , K. v. Klitzing

We present finite bias transport measurements on a few-electron quantum dot. In the Coulomb blockade regime, strong signatures of inelastic cotunneling occur which can directly be assigned to excited states observed in the non-blockaded…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. Schleser , T. Ihn , E. Ruh , K. Ensslin , M. Tews , D. Pfannkuche , D. C. Driscoll , A. C. Gossard

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 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

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 study electron transport through a quantum dot in a Tomonaga-Luttinger liquid with an inhomogeneity induced either by a non-uniform electron interaction or by the presence of tunnel resistances of contacts. The non-analytic temperature…

Mesoscale and Nanoscale Physics · Physics 2011-10-10 T. Kleimann , F. Cavaliere , M. Sassetti , B. Kramer

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

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

Contents: (1) Model of a lateral quantum dot system (2) Thermally-activated conduction: onset of the Coulomb blockade oscillations and Coulomb blockade peaks at low temperature (3) Activationless transport through a blockaded quantum dot:…

Mesoscale and Nanoscale Physics · Physics 2014-10-13 L. I. Glazman , M. Pustilnik

We find an analytical expression for the conductance of a single electron transistor in the regime when temperature, level spacing, and charging energy of a grain are all of the same order. We consider the model of equidistant energy levels…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Serguei Vorojtsov

The Ohmic conductance and current through two quantum dots in series is investigated for the case of incoherent tunnelling. A generalised master equation is employed to include the discrete nature of the energy levels. Regions of negative…

Condensed Matter · Physics 2009-10-28 P. Pals , A. MacKinnon

We study the transport through a quantum dot coupled to two leads by single-mode point contacts. The linear conductance is calculated analytically as a function of a gate voltage and temperature T in the case when transmission coefficients…

Condensed Matter · Physics 2009-10-28 A. Furusaki , K. A. Matveev