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The complex ac-response of a quasi-one dimensional electron system in the one-band approximation with an interaction potential of finite range is investigated. It is shown that linear response is exact for this model. The influence of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gianaurelio Cuniberti , Maura Sassetti , Bernhard Kramer

A weakly bound electron in a semiconductor quantum wire is shown to become entangled with an itinerant electron via the coulomb interaction. The degree of entanglement and its variation with energy of the injected electron, may be tuned by…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. H. Jefferson , A. Ramsak , T. Rejec

The quantum state of an electron in a strong laser field is altered if the interaction of the electron with its own electromagnetic field is taken into account. Starting from the Schwinger-Dirac equation, we determine the states of an…

High Energy Physics - Phenomenology · Physics 2011-12-21 S. Meuren , A. Di Piazza

The spectral properties of up to four interacting electrons confined within a quasi one--dimensional system of finite length are determined by numerical diagonalization including the spin degree of freedom. The ground state energy is…

Condensed Matter · Physics 2009-10-22 Wolfgang Haeusler , Bernhard Kramer , PTB Braunschweig

We study the effect of electron-electron interactions on the transport in an inhomogeneous quantum wire. We show that contrary to the well-known Luttinger liquid result, non-uniform interactions contribute substantially to the resistance of…

Mesoscale and Nanoscale Physics · Physics 2008-02-19 J. Rech , K. A. Matveev

Low-lying energy levels of two interacting electrons confined in a two-dimensional parabolic quantum dot in the presence of an external magnetic field have been revised within the frame of a novel model. The present formalism, which gives…

Quantum Physics · Physics 2009-10-11 Bulent Gonul , Ebru Bakir , Koray Koksal

We study a two dimensional electron system in a parabolic confining potential and constant magnetic field for the case of harmonic electron-electron interaction. We present analytic results for the electrochemical potential versus magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Antimo Angelucci , Arturo Tagliacozzo

In this paper we consider pairs of interacting electrons moving in a simple quantum wire, namely the half-line. In particular, we extend the results obtained in [arXiv:1708.03753] by allowing for contact interactions of the Lieb-Liniger…

Mathematical Physics · Physics 2018-06-14 Joachim Kerner

We show that the interaction constant governing the long-range electron-electron interaction in a quantum wire coupled to two reservoirs and capacitively coupled to a gate can be determined by a low frequency measurement. We present a…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ya. M. Blanter , F. W. J. Hekking , M. Buttiker

Electron transport in a quantum wire with leads is investigated with actual Coulomb interaction taken into account. The latter includes both the direct interaction of electrons with each other and their interaction via the image charges…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. A. Sablikov , B. S. Shchamkhalova

We investigate the effect of electron-electron interactions on the transport properties of disordered quasi one-dimensional quantum wires with two or more subbands occupied. We apply two alternative methods to solve the logarithmic…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Arisato Kawabata , Tobias Brandes

Properties of cylindrical quantum wires are analysed in this paper. Energies of elementary excitations as well as one-particle wave functions were found for mentioned structure. For cylindrical quantum wires the temperature of phase…

Soft Condensed Matter · Physics 2009-11-07 Vjekoslav Sajfert , Rajka Djajic , Zheljka Cvejic

We present a controlled method for computing the exchange coupling in correlated one-dimensional electron systems based on the relation between the exchange constant and the pair-correlation function of spinless electrons. This relation is…

Strongly Correlated Electrons · Physics 2007-05-23 Michael M. Fogler , Eugene Pivovarov

We develop a theoretical model for the description of electron dynamics in coupled quantum wires when the local magnetic moment is formed in one of the wires. We employ a single-particle Hamiltonian that takes account of the specific…

Strongly Correlated Electrons · Physics 2009-11-10 V. I. Puller , L. G. Mourokh , A. Shailos , J. P. Bird

The influence of electron--electron interaction on two terminal DC conductance of one--dimensional quantum wires is studied. A cancelation between the effect of the electron--electron interaction on the current and on the external electric…

Condensed Matter · Physics 2009-10-28 Yuval Oreg , Alexander M. Finkel'stein

The ground-state energy and the density correlation function of the electron liquid in a thin one-dimensional wire are computed. The calculation is based on an approximate mapping of the problem with a realistic Coulomb interaction law onto…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael M. Fogler

We provide a self-contained theoretical analysis of the dynamical response of a one dimensional electron system, as confined in a semiconductor quantum wire, within the random phase approximation. We carry out a detailed comparison with the…

Condensed Matter · Physics 2009-10-28 S. Das Sarma , E. H. Hwang

We generalize the bosonization methods for systems in the half line that we discussed elsewhere, to study the effects of interactions on electronic systems coupled to impurities. We introduce a model for a quantum wire coupled with a…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ana Lopez , Manuel Fuentes , Eduardo Fradkin

The total energy of a quasi-one-dimensional electron system is calculated using density functional theory. It is shown that spontaneous ferromagnetic state in quantum wire occurs at low one-dimensional electron density. The critical…

Mesoscale and Nanoscale Physics · Physics 2013-01-14 A. A. Vasilchenko

Upon increasing the electron density in a quantum wire, the one-dimensional electron system undergoes a transition to a quasi-one-dimensional state. In the absence of interactions between electrons, this corresponds to filling up the second…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Julia S. Meyer , K. A. Matveev , A. I. Larkin
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