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Atomic-like systems in which electronic motion is two dimensional are now realizable as ``quantum dots''. In place of the attraction of a nucleus there is a confining potential, usually assumed to be quadratic. Additionally, a perpendicular…

Condensed Matter · Physics 2007-05-23 E. H. Lieb , J. P. Solovej , J. Yngvason

Spin-entanglement of two electrons occupying two spatial regions -- domains -- is expressed in a compact form in terms of spin-spin correlation functions. The power of the formalism is demonstrated on several examples ranging from…

Mesoscale and Nanoscale Physics · Physics 2009-04-10 A. Ramsak , J. Mravlje , T. Rejec

It has been experimentally shown that negative exchange interactions can arise in a linear three-dot system when a two-electron double quantum dot is exchange coupled to a larger quantum dot containing on the order of one hundred electrons.…

Mesoscale and Nanoscale Physics · Physics 2018-06-05 Kuangyin Deng , F. A. Calderon-Vargas , Nicholas J. Mayhall , Edwin Barnes

We study quantum states of electrons in magnetically doped quantum dots as a function of exchange coupling between electron and impurity spins, the strength of Coulomb interaction, confining potential, and the number of electrons. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ramin M. Abolfath , Pawel Hawrylak , Igor Zutic

We study the few-electron eigenspectrum of a nanotube quantum dot with spin-orbit coupling. The two-electron phase diagram as a function of the length of the dot and the applied parallel magnetic field shows clear signatures of both…

Mesoscale and Nanoscale Physics · Physics 2009-06-12 Bernhard Wunsch

We study double quantum dots coupled to a quasistatic cavity mode with high mode-volume compression allowing for strong light-matter coupling. Besides the cavity-mediated interaction, electrons in different double quantum dots interact with…

Mesoscale and Nanoscale Physics · Physics 2024-08-23 Valerii K. Kozin , Dmitry Miserev , Daniel Loss , Jelena Klinovaja

The ground states of N-electron parabolic quantum dots in the presence of a perpendicular magnetic field are investigated. Rigorous lower bounds to the ground-state energies are obtained. It is shown that our lower bounds agree well with…

Condensed Matter · Physics 2009-11-07 Yeong E. Kim , Alexander L. Zubarev

We study the evolution with magnetic field of the single-particle energy levels high up in the energy spectrum of one dot as probed by the ground state of the adjacent dot in a weakly coupled vertical quantum dot molecule. We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. Payette , D. G. Austing , G. Yu , J. A. Gupta , S. V. Nair , B. Partoens , S. Amaha , S. Tarucha

A tool for the identification of the shape of quantum dots is developed. By preparing a two-electron quantum dot, the response of the low-lying excited states to a homogeneous magnetic field, i.e. their spin and parity oscillations, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. S. Drouvelis , P. Schmelcher , F. K. Diakonos

We discuss the possibility to generate, manipulate, and probe single spins in single-level quantum dots coupled to ferromagnetic leads. The spin-polarized currents flowing between dot and leads lead to a non-equilibrium spin accumulation,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matthias Braun , Jürgen König , Jan Martinek

The influence of excited levels on nonlinear transport properties of a quantum dot weakly coupled to leads is studied using a master--equation approach. A charging model for the dot is compared with a quantum mechanical model for…

Condensed Matter · Physics 2009-10-22 W. Pfaff , D. Weinmann , W. Haeusler , B. Kramer , U. Weiss , PTB Braunschweig

Two interacting electrons in a harmonic oscillator potential under the influence of a perpendicular homogeneous magnetic field are considered. Analytic expressions are obtained for the energy spectrum of the two- and three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Dineykhan , R. G. Nazmitdinov

Electron transport through a quantum dot chain with two neighboring dots coupled to both leads is theoretically studied. In such a system, it is found that only for the even-numbered quantum dot structure with the same-number quantum dots…

Mesoscale and Nanoscale Physics · Physics 2008-10-31 Yu Han , Weijiang Gong , Guozhu Wei

The magnetic-field evolution of Coulomb blockade peaks in lateral InGaAs/InAlAs quantum dots in the few-electron regime is reported. Quantum dots are defined by gates evaporated onto a 60 nm-thick hydrogen silsesquioxane insulating film. A…

Mesoscale and Nanoscale Physics · Physics 2010-07-02 F. Deon , V. Pellegrini , F. Carillo , F. Giazotto , L. Sorba , G. Biasiol , F. Beltram

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

Tunneling conductance through two quantum dots, which are connected in series to left and right leads, is calculated by using the numerical renormalization group method. As the hopping between the dots increases from very small value, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Wataru Izumida , Osamu Sakai

Laterally coupled quantum dot molecules are studied using exact diagonalization techniques. We examine the two-electron singlet-triplet energy difference as a function of magnetic field strength and investigate the magnetization and vortex…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Helle , A. Harju , R. M. Nieminen

We study a system of two Coulombically interacting electrons in an external harmonic potential in the presence of an on-centre Coulomb impurity. Detailed results for the dependencies of the reduced von Neumann entropy on the control…

Quantum Physics · Physics 2017-07-17 Przemyslaw Koscik

For quantum ballistic transport of electrons through a short conduction channel, the role of Coulomb interaction may significantly modify the energy levels of an electron pair at low temperatures as the channel becomes wide. In this regime,…

Mesoscale and Nanoscale Physics · Physics 2015-05-05 Danhong Huang , Godfrey Gumbs , Yonatan Abranyos , Michael Pepper , Sanjeev Kumar

Kondo effect in the vicinity of a singlet-triplet transition in a vertical quantum dot is considered. This system is shown to map onto a special version of the two-impurity Kondo model. At any value of the control parameter, the system has…

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