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We analyse the ground state of spinless fermions on a lattice in a weakly disordered potential, interacting via a nearest neighbour interaction, by applying the self-consistent Hartree-Fock approximation. We find that charge density…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Paul N. Walker , Yuval Gefen , Gilles Montambaux

The long term scaling prospects for solid-state quantum computing architectures relies heavily on the ability to simply and reliably measure and control the coherent electron interaction strength, known as the tunnel coupling, $t_c$. Here,…

Reliable detection of single electron tunneling in quantum dots (QD) is paramount to use this category of device for quantum information processing. Here, we report charge sensing in a degenerately phosphorus-doped silicon QD by means of a…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 A. Rossi , T. Ferrus , W. Lin , T. Kodera , D. A. Williams , S. Oda

Magnetotunneling spectroscopy was employed to probe the confinement in vertical Si/Ge double-barrier resonant tunneling diodes with regularly distributed Ge quantum dots. Their current-voltage characteristics reveal a step-like behavior in…

Mesoscale and Nanoscale Physics · Physics 2010-06-08 Oleksiy B. Agafonov , Christian Dais , Detlev Grützmacher , Rolf J. Haug

We develop a general approach to calculations of the electron spectrum of metallic multi-wall carbon nanotubes (MWNT) with arbitrary number of coaxial layers. It is based on the model with singular attractive potential of equidistant…

Mesoscale and Nanoscale Physics · Physics 2019-08-17 A. A. Abrikosov, , D. V. Livanov , A. A. Varlamov

To analyze the state of injected carrier streams of different electron sources, we propose to use correlation measurements at a quantum point contact with the different sources connected via chiral edge states to the two inputs. In…

Mesoscale and Nanoscale Physics · Physics 2011-01-21 Michael Moskalets , Markus Büttiker

Electron transfer to an individual quantum dot promotes the formation of charged excitons with enhanced recombination pathways and reduced lifetimes. Excitons with only one or two extra charges have been observed and exploited for very…

We present a novel "linear combination of atomic orbitals"-type of approximation, enabling accurate electronic structure calculations for systems of up to 20 or more electronically coupled quantum dots. Using realistic single quantum dot…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Alexander Mittelstädt , Ludwig A. Th. Greif , Stefan T. Jagsch , Andrei Schliwa

The use of low-dimensional structures such as quantum wells, wires or dots in the absorbing regions of solar cells strongly affects the spectral response of the latter, the spectral properties being drastically modified by quantum…

Mesoscale and Nanoscale Physics · Physics 2012-06-14 U. Aeberhard

Electrostatic confinement in semiconductors provides a flexible platform for the emulation of interacting electrons in a two-dimensional lattice, including in the presence of gauge fields. This combination offers the potential to realize a…

Mesoscale and Nanoscale Physics · Physics 2019-06-04 T. Hensgens , U. Mukhopadhyay , P. Barthelemy , S. Fallahi , G. C. Gardner , C. Reichl , W. Wegscheider , M. J. Manfra , L. M. K. Vandersypen

A simple methodology is suggested for the efficient calculation of certain central potentials having singularities. The generalized pseudospectral method used in this work facilitates {\em nonuniform} and optimal spatial discretization.…

Quantum Physics · Physics 2015-06-16 Amlan K. Roy

We study the fluctuations of an energy level as a function of the number of electrons $m$ added to a Coulomb-blockade quantum dot. A microscopic calculation in the limit of Koopmans' theorem predicts that the standard deviation of these…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Alhassid , Yuval Gefen

Scanning tunneling spectroscopy measures how a single electron with definite energy propagates between a sample surface and the tip of a scanning tunneling microscope. In the simplest description, the differential conductance measured is…

Mesoscale and Nanoscale Physics · Physics 2019-05-07 Mikko M. Ervasti , Fabian Schulz , Peter Liljeroth , Ari Harju

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

We consider free electrons in rectangular quantum dots, with either hard wall boundary conditions or anharmonic confinement. In both cases, due to finite size effects, a homogeneous electric field applied along one of the rectangular axis…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Stephane Pleutin

The electronic bandgaps measured in fluorescence spectroscopy on individual single wall carbon nanotubes isolated within micelles show signficant deviations from the predictions of one electron band theory. We resolve this problem by…

Materials Science · Physics 2009-11-10 C. L. Kane , E. J. Mele

Relativistic Hartree-Fock theory is combined with the Green's function method in coordinate space to study both single-particle bound and resonant states within a unified framework. Within this approach, single-particle resonance energies…

Nuclear Theory · Physics 2026-03-06 Wei Gao , Ting Ting Sun , Wen Hui Long

We present ground and excited state energies obtained from Diffusion Monte Carlo (DMC) calculations, using accurate multiconfiguration wave functions, for $N$ electrons ($N\le13$) confined to a circular quantum dot. We analyze the…

Condensed Matter · Physics 2009-10-31 F. Pederiva , C. J. Umrigar , E. Lipparini

We calculate ground state energies in the Brueckner-Hartree-Fock theory for $N$ electrons (with $N\le 20$) confined to a circular quantum dot and in presence of a static magnetic field. Comparison with the predictions of Hartree-Fock,…

Strongly Correlated Electrons · Physics 2007-05-23 A. Emperador , E. Lipparini , Ll. Serra

The degree of entanglement of an electron with a hole in a vertically coupled self-assembled dot molecule is shown to be tunable by an external electric field. Using atomistic pseudopotential calculations followed by a configuration…

Materials Science · Physics 2009-11-11 Gabriel Bester , Alex Zunger