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We show that density functional theory within the RPA (random phase approximation for the exchange-correlation energy) provides a correct description of bond dissociation in H$_2$ in a spin-restricted Kohn-Sham formalism, i.e. without…

Other Condensed Matter · Physics 2009-11-10 M. Fuchs , Y. -M. Niquet , X. Gonze , K. Burke

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 study non-linear adiabatic connection paths in density-functional theory using modified electron-electron interactions that perform a long-range/short-range separation of the Coulomb interaction. These adiabatic connections allows to…

Chemical Physics · Physics 2009-11-11 Julien Toulouse , Francois Colonna , Andreas Savin

We discuss a new entangled state that has been observed in the conduction across a quantum dot. At Coulomb blockade, electrons from the contacts correlate strongly to those localized in the dot, due to cotunneling processes. Because of the…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Domenico Giuliano , Benoit Jouault , Arturo Tagliacozzo

The near nucleus behavior of the exchange-correlation potential $v_{xc}({\bf r})$ in Hohenberg-Kohn-Sham density functional theory is investigated. It is shown that near the nucleus the linear term of $O(r)$ of the spherically averaged…

Materials Science · Physics 2009-11-13 Zhixin Qian

We present measurements of the temperature-dependent conductance for series arrays of small-capacitance SQUIDs. At low bias voltages, the arrays exhibit a strong Coulomb blockade, which we study in detail as a function of temperature and…

We observe a strong Kondo effect in a semiconductor quantum dot when a small magnetic field is applied. The Coulomb blockade for electron tunneling is overcome completely by the Kondo effect and the conductance reaches the unitary-limit…

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

A numerical renormalization-group survey of the zero-bias electrical conductance through a quantum dot embedded in the conduction path of a nanodevice is reported. The results are examined in the light of a recently derived linear mapping…

Mesoscale and Nanoscale Physics · Physics 2010-01-13 Makoto Yoshida , Antonio C. Seridonio , Luiz N. Oliveira

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

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

Friedel's sum rule provides an explicit expression for a conductance functional, $\mathcal{G}[n]$, valid for the single impurity Anderson model at zero temperature. The functional is special because it does not depend on the interaction…

Mesoscale and Nanoscale Physics · Physics 2011-06-21 P. Tröster , P. Schmitteckert , F. Evers

We develop a non-equilibrium theory to describe weak Coulomb blockade effects in open quantum dots. Working within the bosonized description of electrons in the point contacts, we expose deficiencies in earlier applications of this method,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Piet W. Brouwer , Austen Lamacraft , Karsten Flensberg

We derive closed expressions for the universal weak localization peak of the average conductance peak heights in Coulomb blockade quantum dots in the crossover from orthogonal to unitary symmetry. The scale for the crossover is independent…

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

The numerical implementation of an exchange-correlation functional is not always an accurate reproduction of its theoretical specification. For example, density functionals for exchange and correlation can be defined by an exchange or…

Materials Science · Physics 2012-11-01 Jonathan E. Moussa , Peter A. Schultz

We present a new class of non-adiabatic approximations in time-dependent density functional theory derived from an exact expression for the time-dependent exchange-correlation potential. The approximations reproduce dynamical step and peak…

Chemical Physics · Physics 2018-12-21 Lionel Lacombe , Neepa T. Maitra

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 investigated the peculiarities of non-equilibrium charge configurations in the system of two strongly coupled quantum dots (QDs) weakly connected to the reservoirs in the presence of Coulomb correlations. We revealed that total electron…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 V. N. Mantsevich , N. S. Maslova , P. I. Arseyev

Using time-dependent current-density functional theory, we derive analytically the dynamical exchange-correlation correction to the DC conductance of nanoscale junctions. The correction pertains to the conductance calculated in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Na Sai , Michael Zwolak , Giovanni Vignale , Massimiliano Di Ventra

We analyze cotunneling transport through two quantum dots in series weakly coupled to external ferromagnetic leads. In the Coulomb blockade regime the electric current flows due to third-order tunneling, while the second-order…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 I. Weymann

We study conductance through a quantum dot under Coulomb blockade conditions in the presence of an external periodic perturbation. The stationary state is determined by the balance between the heating of the dot electrons by the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. M. Basko , V. E. Kravtsov