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We evaluate, by means of variational calculations, the bound state energy E_B of a pair of charges located on the surface of a cylinder, interacting via Coulomb potential - e^2 / r . The trial wave function involves three variational…

Condensed Matter · Physics 2009-11-07 M. K. Kostov , M. W. Cole , G. D. Mahan

In this paper we consider two different geometry of quasi one-dimensional semiconductors and calculate their exchange-correlation induced bandgap renormalization (BGR) as a function of the electron-hole plasma density and quantum wire…

Strongly Correlated Electrons · Physics 2009-11-11 Kourosh Nozari , Mahyar Madadi

Any interface boundary in an equilibrium system of Coulomb particles is accompanied by the existence of a finite difference in the average electrostatic potential through this boundary. This interface potential drop is a thermodynamic…

Plasma Physics · Physics 2011-04-15 Igor Iosilevskiy , Alexander Chigvintsev

We investigate the transport properties of a quantum wire of weakly interacting fermions in the presence of local particle loss. We calculate current and conductance in this system due to applied external chemical potential bias that can be…

Statistical Mechanics · Physics 2024-11-18 Marcel Gievers , Thomas Müller , Heinrich Fröml , Sebastian Diehl , Alessio Chiocchetta

The interaction of an electron with a local static charge distribution (e.g., an atom or molecule) is dominated at large distances by the radial 1/r Coulomb potential. The second order effect comes from the non-central electric dipole…

Quantum Physics · Physics 2023-02-08 A. D. Alhaidari , H. Bahlouli

The rate-equation approach is used to describe sequential tunneling through a molecular junction in the Coulomb blockade regime. Such device is composed of molecular quantum dot (with discrete energy levels) coupled with two metallic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Kamil Walczak

We study a geometric variational problem arising from modeling two-dimensional charged drops of a perfectly conducting liquid in the presence of an external potential. We characterize the semicontinuous envelope of the energy in terms of a…

Analysis of PDEs · Mathematics 2022-08-02 Cyrill B. Muratov , Matteo Novaga , Berardo Ruffini

Dynamic conductance and time-of-flight current instability in a quantum wire connected to electron reservoirs under DC bias voltage are studied in the absence of a gate screening the Coulomb interaction of electrons. Due to a strong…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Bagun S. Shchamkhalova , Vladimir A. Sablikov

Negative differential resistance - a decrease in current with increasing bias voltage - is a counter-intuitive effect that is observed in various molecular junctions. Here, we present a novel mechanism that may be responsible for such an…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Yonatan Dubi

We evaluate the chemical potential of a one-dimensional quantum dot, coupled to an atomic force microscope tip. The dot is described within the Luttinger liquid framework and the conductance peaks positions as a function of the tip location…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 D. Mantelli , F. Cavaliere , M. Sassetti

We investigate the distribution of the electron density and the potential in a quantum wire coupled to reservoirs, treating this structure as a unified quantum system and taking into account the Coulomb interaction of electrons. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. A. Sablikov , S. V. Polyakov , M. Buttiker

We investigate the dependency of electrostatic interaction forces on applied potentials in Electrostatic Force Microscopy (EFM) as well as in related local potentiometry techniques like Kelvin Probe Microscopy (KPM). The approximated…

Materials Science · Physics 2009-11-13 M. Lucchesi , G. Privitera , M. Labardi , D. Prevosto , S. Capaccioli , P. Pingue

In an external constant magnetic field, so strong that the electron Larmour length is much shorter than its Compton length, we consider the modification of the Coulomb potential of a point charge owing to the vacuum polarization. We…

Astrophysics · Physics 2008-11-26 A. E. Shabad , V. V. Usov

We consider a one-dimensional model for many-electron atoms in strong magnetic fields in which the Coulomb potential and interactions are replaced by one-dimensional regularizations associated with the lowest Landau level. For this model we…

Mathematical Physics · Physics 2016-09-07 Raymond Brummelhuis , Mary Beth Ruskai

The temperature dependence of Coulomb blockade peaks of a one dimensional quantum dot is calculated. The Coulomb interaction is treated microscopically using the Luttinger liquid model. The electron interaction is assumed to be…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 T. Kleimann , M. Sassetti , B. Kramer

An accurate model of a vertical pillar quantum dot is described. The full three dimensional structure of the device containing the dot is taken into account and this leads to an effective two dimensional model in which electrons move in the…

Mesoscale and Nanoscale Physics · Physics 2008-04-22 P. A. Maksym , Y. Nishi , D. G. Austing , T. Hatano , L. P. Kouwenhoven , H. Aoki , S. Tarucha

In the seventies, Lee and Wick proposed an interesting modification of classical electrodynamics that renders it finite at the quantum level. At the classical level, this modified theory leads to a regular linear potential at short…

General Physics · Physics 2020-01-22 Anais Smailagic , Euro Spallucci

We study electron tunneling from a tip or a lead into an interacting quantum wire described by Luttinger liquid theory. Within a WKB-type approach, the Coulomb interaction between the wire and the tunneling electrons, as well as the finite…

Strongly Correlated Electrons · Physics 2009-10-31 S. Huegle , R. Egger , H. Grabert

The conductance through a quantum wire of cylindrical cross section and a weak bulge is solved exactly for two electrons within the Landauer-Buettiker formalism. We show that this 'open' quantum dot exhibits spin-dependent Coulomb blockade…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Rejec , A. Ramsak , J. H. Jefferson

We review the effects of Coulomb correlation on the linear and non-linear optical properties of semiconductor quantum wires, with emphasis on recent results for the bound excitonic states. Our theoretical approach is based on generalized…

Materials Science · Physics 2009-10-30 G. Goldoni , F. Rossi , E. Molinari