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We study the artificial molecular states formed in laterally coupled double semiconductor nanorings by systems containing one, two and three electrons. An interplay of the interring tunneling and the electron-electron interaction is…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 T. Chwiej , B. Szafran

We present a theory and Coulomb and Spin Blockade spectroscopy experiments on quantum Hall droplets with controlled electron numbers (N1,N2) in laterally coupled gated quantum dots. The theory is based on the configuration interaction…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ramin M. Abolfath , Pawel Hawrylak , Michel Pioro-Ladriere , Andy Sachrajda

A theory of electronic properties of a spin-singlet quantum Hall droplet at filling factor $\nu=2$ in a parabolic quantum dot is developed. The excitation spectrum and the stability of the droplet due to the transfer of electrons into the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Andreas Wensauer , Marek Korkusinski , Pawel Hawrylak

We report on tunneling experiment between two quantum Hall droplets separated by a nearly ideal tunnel barrier. The device is produced by cleaved edge overgrowth that laterally juxtaposes two two-dimensional electron systems across a high…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Inseok Yang , Woowon Kang , Loren Pfeiffer , Kirk Baldwin , Ken West

We study a two-dimensional cylindrically-symmetric electron droplet separated from a surrounding electron ring by a tunable barrier using the exact diagonalization method. The magnetic field is assumed strong so that the electrons become…

Mesoscale and Nanoscale Physics · Physics 2009-08-12 E. Tölö , A. Harju

We study the formation of molecular states in a two-electron quantum dot as a function of the barrier potential dividing the dot. The increasing barrier potential drives the two electron system from an artificial helium atom to an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 W. Dybalski , P. Hawrylak

We analyze tunneling of non-Abelian quasiparticles between the edges of a quantum Hall droplet at Landau level filling fraction nu=5/2, assuming that the electrons in the first excited Landau level organize themselves in the non-Abelian…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

The ground states of artificial molecules made of two vertically coupled quantum rings are studied within the spin density functional theory for systems containing up to 13 electrons. Quantum tunneling effects on the electronic structure of…

Other Condensed Matter · Physics 2007-05-23 L. K. Castelano , G. -Q. Hai , B. Partoens , F. M. Peeters

Exact results for the classical and quantum system of two vertically coupled two-dimensional single electron quantum dots are obtained as a function of the interatomic distance (d) and with perpendicular magnetic field. The classical system…

Condensed Matter · Physics 2009-10-31 B. Partoens , A. Matulis , F. M. Peeters

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

In the paper we dscuss experimental results of M. Grayson et al. on tunneling $I$-$V$ characteristics of the quantum Hall edge. We suggest a two step tunneling mechanism involving localized electron states near the edge, which might account…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Alekseev , V. Cheianov , A. P. Dmitriev , V. Yu. Kachorovskii

Structural properties of a finite number ($N = 2 - 20$) of point charges (classical electrons) confined laterally in a two-dimensional two-minima potential are calculated as a function of the distance ($d$) between the minima. The particles…

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

We investigate the ground and excited states of a bipolar artificial molecule composed of two vertically coupled quantum dots containing different type of carriers -- electrons and holes -- in equilibrium. The approach based on exact…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Egidijus Anisimovas , F. M. Peeters

The magnetic character of the ground-state of two electrons on a double quantum dot, connected in series to left and right single-channel leads, is considered. By solving exactly for the spectrum of the two interacting electrons, it is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. Entin-Wohlman , A. Aharony , Y. Levinson

We study electronic structures of quasi-two-dimensional finite electron systems in high magnetic fields. The solutions in the fractional quantum Hall regime are interpreted as quantum liquids of electrons and off-electron vortices. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Henri Saarikoski , Ari Harju

We derive, from first principles, the complete Luttinger liquid theory of abelian quantum Hall edge states. This theory includes the effects of disorder and Coulomb interactions as well as the coupling to external electromagnetic fields. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. Skoric , A. M. M. Pruisken

We present a theoretical study of magnetic field driven spin transitions of electrons in coupled lateral quantum dot molecules. A detailed numerical study of spin phases of artificial molecules composed of two laterally coupled quantum dots…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Ramin M. Abolfath , Pawel Hawrylak

We identify the physics behind the results of recent measurements [W. Kang et al., Nature 403, 59 (2000)] of electron transfer between the edges of two two-dimensional electron systems (2DES). We find that a consistent explanation of all of…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Shinji Nonoyama , George Kirczenow

The edge of a two-dimensional electron system (2DES) in a magnetic field consists of one-dimensional (1D) edge-channels that arise from the confining electric field at the edge of the specimen$^{1-3}$. The crossed electric and magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 W. Kang , H. L. Stormer , K. W. Baldwin , L. N. Pfeiffer , K. W. West

Current Luttinger liquid edge state theories for filling $\nu=2/3$ predict a non-universal Hall conductance, in disagreement with experiment. Upon inclusion of random edge tunnelling we find a phase transition into a new…

Condensed Matter · Physics 2009-10-22 C. L. Kane , M. P. A. Fisher , J. Polchinski
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