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A self-consistent treatment of exchange and correlation interactions in a quantum wire (QW) subject to a strong perpendicular magnetic field is presented using a modified local-density approximation (MLDA). The influence of many-body…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 O. G. Balev , P. Vasilopoulos

We study the effect of electron-electron (e-e) interactions on compressibility, capacitance and inverse compressibility of electrons in a quantum dot or a small metallic grain. The calculation is performed in the random-phase approximation.…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 R. Berkovits , B. L. Altshuler

Since the experimental realisation of the integer quantised Hall effect in a two dimensional electron system subject to strong perpendicular magnetic fields in 1980, a central question has been the interrelation between the conductance…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 E. M. Kendirlik , S. Sirt , S. B. Kalkan , N. Ofek , V. Umansky , A. Siddiki

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

In this paper we use sets of de Broglie-Bohm trajectories to describe the quantum correlation effects which take place between the electrons in helium atom due to exchange and Coulomb interactions. A short-range screening of the Coulomb…

Atomic Physics · Physics 2025-02-07 Ivan P. Christov

We investigate effects of electron-electron interaction on the transmission probability of electrons through a tunnel junction in a strong magnetic field. We start with the Hartree-Fock approximation, and we show that the coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Toshihiro Kubo , Arisato Kawabata

We study the effects of the Coulomb interaction in the one dimensional Kondo lattice model on the phase diagram, the static magnetic susceptibility and electron spin relaxation. We show that onsite Coulomb interaction supports ferromagnetic…

Strongly Correlated Electrons · Physics 2015-05-20 Sebastian Smerat , Herbert Schoeller , Ian P. McCulloch , Ulrich Schollwöck

We numerically investigate the effect of electron correlation on the integer quantum Hall effect in a square lattice. Increasing the correlation strength via the effective onsite repulsion parameter $U$ degrades the quantization of $\nu =…

Strongly Correlated Electrons · Physics 2026-01-26 Daniel Staros , Christopher Lane , Roxanne Tutchton , Jian-Xin Zhu

The transport properties of interacting electrons for which the spin degree of freedom is taken into account are numerically studied for small two dimensional diffusive clusters. On-site electron-electron interactions tend to delocalize the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Richard Berkovits , Jan W. Kantelhardt

States of strongly interacting particles are of fundamental interest in physics, and can produce exotic emergent phenomena and topological structures. We consider here two-dimensional electrons in a magnetic field, and, departing from the…

Strongly Correlated Electrons · Physics 2022-03-16 Abhishek Anand , Jainendra K Jain , G J Sreejith

We study a two-dimensional system of two Coulombically interacting electrons in an external harmonic confining potential. More precisely, we present calculations for the singlet ground-state of the system. We explain the nature of the…

Quantum Physics · Physics 2017-07-17 Przemyslaw Koscik

We calculate numerically the spectrum of disordered electrons in the lowest Landau level at filling factor 1/5 using the self-consistent Hartree-Fock approximation for systems containing up to 400 flux quanta. Special attention is paid to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Michael Backhaus , Bodo Huckestein

Field-theoretical methods have been shown to be useful in constructing simple effective theories for two-dimensional (2D) systems. These effective theories are usually studied by perturbing around a mean-field approximation, so the question…

Condensed Matter · Physics 2009-10-28 O. Heinonen , M. D. Johnson

We study the energy of relativistic electrons and positrons interacting via the second quantized Coulomb potential in the field of a nucleus of charge Z within the Hartree-Fock approximation. We show that the associated functional has a…

Mathematical Physics · Physics 2007-05-23 J. -M. Barbaroux , W. Farkas , B. Helffer , H. Siedentop

Various auxiliary-particle approaches to treat electron correlations in many-electron models are analyzed. Applications to copper-oxide layered systems are discussed. The ground-state magnetic phase diagrams are considered within the…

Strongly Correlated Electrons · Physics 2019-02-21 V. Yu. Irkhin , P. A. Igoshev

The generation and evolution of entanglement in quantum many-body systems is an active area of research that spans multiple fields, from quantum information science to the simulation of quantum many-body systems encountered in condensed…

The unique property of Coulomb interaction in strict one-dimensional (1D) system is revealed that the Coulomb repulsion energy of paired electrons is divergent. As consequences, electrons in 1D system can not doubly occupy the same spatial…

Strongly Correlated Electrons · Physics 2011-08-23 Yongxi Zhou

We consider the effect of Coulomb interactions in the propagation of electrons, prepared in arbitrary spin states, on chiral edge channels in the integer quantum Hall regime. Electrons are injected and detected at the same energy at…

Mesoscale and Nanoscale Physics · Physics 2012-08-08 Davide Venturelli , Denis Feinberg

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 analyze several experiments that address the effects of electron-electron interactions in 2D electron (hole) systems in the regime of low carrier density. The interaction effects result in renormalization of the effective…

Strongly Correlated Electrons · Physics 2015-06-24 V. M. Pudalov , M. E. Gershenson , H. Kojima