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We investigate the addition spectrum of disordered quantum dots containing spinless interacting fermions using the self-consistent Hartree-Fock approximation. We concentrate on the regime r_s >~1, with finite dimensionless conductance g. We…

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

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

We study the effect of electronic interactions on the addition spectra and on the energy level distributions of two-dimensional quantum dots with weak disorder using the self-consistent Hartree-Fock approximation for spinless electrons. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Avraham Cohen , Klaus Richter , Richard Berkovits

In this paper, we investigate the ground state of two-dimensional disordered cylinders which contain spinless, interacting electrons using the Hartree-Fock approximation. Calculations of the deviation of the polarization from uniformity…

Condensed Matter · Physics 2007-05-23 A. Kambili , H. Fehrmann , C. J. Lambert , J. H. Jefferson

Recently, Dial et al. presented measurements of the tunneling density of states into the bulk of a two dimensional electron gas under strong magnetic fields. Several high energy features appear in the measured spectrum showing a distinct…

Strongly Correlated Electrons · Physics 2015-05-20 Gilad Barak , Amir Yacoby , Yigal Meir

Recent experiments on quantum dots in the Coulomb Blockade regime have shown how adding successive electrons into a dot modifies the energy spectrum and the wave functions of the electrons already present in the dot. Using a microscopic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Frédéric Piéchon , Gilles Montambaux

The combined influence of disorder and interactions on the transport properties of electrons in one dimension is investigated. The numerical simulations are carried out by means of the Hartree-Fock-based diagonalization (HFD), a very…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Michael Schreiber , Frank Epperlein , Thomas Vojta

We present numerical results for the zero temperature persistent currents carried by interacting spinless electrons in disordered one dimensional continuous rings. The disorder potential is described by a collection of delta-functions at…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 A. Cohen , R. Berkovits , A. Heinrich

We investigate the charging energy level statistics of disordered interacting electrons in quantum dots by numerical calculations using the Hartree approximation. The aim is to obtain a global picture of the statistics as a function of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Chien-Yu Tsau , Diu Nghiem , Robert Joynt , J. Woods Halley

We investigate the influence of electron-electron interactions on the conductance of two-dimensional disordered spinless electrons. By using an efficient numerical method which is based on exact diagonalization in a truncated basis of…

Strongly Correlated Electrons · Physics 2009-10-31 Thomas Vojta , Frank Epperlein , Michael Schreiber

The electrical {\em dc}-conductivity of disordered, non-interacting electrons is calculated in the asymptotic limit of high lattice dimensions $d\to \infty$. To go beyond the lowest-order contribution in the expansion parameter $1/d$ of the…

Strongly Correlated Electrons · Physics 2009-10-31 V. Janis , D. Vollhardt

We numerically investigate the transport properties of disordered interacting electrons in three dimensions in the metallic as well as in the insulating phases. The disordered many-particle problem is modeled by the quantum Coulomb glass…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Thomas Vojta , Frank Epperlein

A theoretical study of single electron capacitance spectroscopy in quantum dots is presented. Exact diagonalizations and the unrestricted Hartree-Fock approximation have been used to shed light over some of the unresolved aspects. The…

Condensed Matter · Physics 2009-10-22 J. J. Palacios , L. Martin-Moreno , G. Chiappe , E. Louis , C. Tejedor

The ratio between mobility and diffusion parameters is derived for a Gaussian-like density of states. This steady-state analysis is expected to be applicable to a wide range of organic materials (polymers or small molecules) as it relies on…

Statistical Mechanics · Physics 2007-05-23 Yohai Roichman , Nir Tessler

The electron addition spectrum A^+(k,omega) is obtained analytically for the one-dimensional (1D) supersymmetric t-J model with 1/r^2 interaction. The result is obtained first for a small-sized system and its validity is checked against the…

Strongly Correlated Electrons · Physics 2009-11-07 Mitsuhiro Arikawa , Yasuhiro Saiga , Yoshio Kuramoto

Transport properties of disordered electron system can be characterized by the conductance, Lyapunov exponent, or level spacing. Two additional parameters, $K_{11}$ and $\gamma $ were introduced recently which measure the non-homogeneity of…

Disordered Systems and Neural Networks · Physics 2015-03-17 P. Markos

The effects of doping on the spectral properties of low doped systems are investigated by means of Coherent Potential Approximation to describe the distributed disorder induced by the impurities and Phonon-Phonon Non-Crossing Approximation…

Materials Science · Physics 2018-06-18 Domenico Di Sante , Sergio Ciuchi

A numerical study of the statistics of transmission ($t$) and reflection ($r$) of quasi-particles from a one-dimensional disordered lasing or amplifying medium is presented. The amplification is introduced via a uniform imaginary part in…

Disordered Systems and Neural Networks · Physics 2009-10-30 Sandeep K. Joshi , A. M. Jayannavar

Measurements and a theoretical interpretation of the excitation spectrum of a two-electron quantum dot fabricated on a parabolic Ga[Al]As quantum well are reported. Experimentally, excited states are found beyond the well-known lowest…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 T. Ihn , C. Ellenberger , K. Ensslin , Constantine Yannouleas , Uzi Landman , D. C. Driscoll , A. C. Gossard

We study electron addition spectra of quantum dots in a broad range of electron occupancies starting from the first electron. Spectra for dots containing <200 electrons reveal a surprising feature. Electron additions are not evenly spaced…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 N. B. Zhitenev , R. C. Ashoori , L. N. Pfeiffer , K. W. West
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