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We study numerically and analytically the dynamics of two classical electrons with Coulomb interaction in a two dimensional antidot superlattice potential in the presence of crossed electric and magnetic fields. It is found that near one…

Condensed Matter · Physics 2009-10-31 A. L. Chepelianskii , D. L. Shepelyansky

We discuss superconducting pairing in a narrow conduction band sandwiched between unoccupied and occupied bands, an arrangement that enables an unconventional pairing mechanism governed by Coulomb repulsion. Pairing interaction originates…

Superconductivity · Physics 2021-03-30 Zhiyu Dong , Leonid Levitov

One of the defining properties of electrons is their mutual Coulombic repulsion. In solids, however, this basic property may change. A famous example is that of superconductors, where coupling to lattice vibrations make electrons attract…

We study the properties of two electrons with Coulomb interactions in a tight-binding model of La-based cuprate superconductors. This tight-binding model is characterized by long-range hopping obtained previously by advanced quantum…

Superconductivity · Physics 2021-10-26 K. M. Frahm , D. L. Shepelyansky

According to the theory of relativity, the relativistic Coulomb's force between an electron pair is composed of two parts, the main part is repulsive, while the rest part can be attractive in certain situations. Thus the relativistic…

General Physics · Physics 2007-05-23 H. Y. Cui

A Hubbard-type model is derived from the microscopic Schr\"odinger equation. We found that additional terms describing direct two-electron transitions must be added to the standard Hubbard Hamiltonian. Such a Hamiltonian generates…

Condensed Matter · Physics 2007-05-23 S. A. Gurvitz

The BCS theory of superconductivity named electron-phonon interaction as a glue that overcomes Coulomb repulsion and binds fermions into pairs which then condense and superconduct. We review recent and not so recent works aiming to…

Superconductivity · Physics 2015-06-16 Saurabh Maiti , Andrey V. Chubukov

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

Coulomb repulsion between two moving electrons loses its spherical symmetry due to relativistic effects. In presence of a uniform positive ion background this asymmetry uncovers an angular dependent attraction potential in the direction of…

Superconductivity · Physics 2007-05-23 F. Raissi

Conditions at which a quasi-one-dimensional (1D) electron system can be considered as a quantum liquid of impenetrable charged particles are theoretically analyzed. In the presence of an inert, neutralizing background, a motion of…

Superconductivity · Physics 2024-06-21 Yu. P. Monarkha

A full strength Coulomb interaction between trapped electrons can be felt only in absence of a neutralizing background. In order to study quantum degenerate electrons without such a background, an external trap is needed to compensate for…

Quantum Gases · Physics 2016-05-23 Ronen Kroeze , Jom Luiten , Servaas Kokkelmans

We show that in anharmonic one-dimensional crystal lattices pairing of electrons or holes in a localized bisolectron state is possible due to coupling between the charges and the lattice deformation that can overcompensate the Coulomb…

Strongly Correlated Electrons · Physics 2012-03-02 L. Brizhik , A. P. Chetverikov , W. Ebeling , G. Röpke , M. G. Velarde

We show that two tight binding electrons that repel may form a bounded pair in two dimensions. The paired states form a band with energies that scale like the strength of the interaction potential. By applying an electric field we show that…

Strongly Correlated Electrons · Physics 2015-05-18 D. Souza , F. Claro

We consider the two-band Hubbard model, where electrons from different bands interact through an on-site one- and two-particle hybridization. The proposed Hamiltonian makes it possible to construct an effective theory and answer the…

Strongly Correlated Electrons · Physics 2026-01-07 Igor N. Karnaukhov

We consider the production of mobile and nonlocal pairwise spin-entangled electrons from tunneling of a BCS-superconductor (SC) to two normal Fermi liquid leads. The necessary mechanism to separate the two electrons coming from the same…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Patrik Recher , Daniel Loss

We present a scheme comprised of a one-dimensional system with repulsive interactions, in which the formation of bound pairs can take place in an easily tunable fashion.By capacitively coupling a primary electronic quantum wire of interest…

Strongly Correlated Electrons · Physics 2020-11-30 Gal Shavit , Yuval Oreg

Coulomb interaction between charged particles is a well-known phenomenon in many areas of researches. In general the Coulomb repulsion force broadens the pulse width of an electron bunch and limits the temporal resolution of many scientific…

Accelerator Physics · Physics 2018-03-16 Chao Lu , Tao Jiang , Shengguang Liu , Rui Wang , Lingrong Zhao , Pengfei Zhu , Dao Xiang , Jie Zhang

We study the semiclassical dynamics of interacting electrons in a biased crystal lattice. A complex dynamical scenario emerges from the interplay between the Coulomb and the external electric fields. When the electrons are far apart, the…

Strongly Correlated Electrons · Physics 2013-06-27 Christopher Gaul , Antonio Rodríguez , Rodrigo P. A. Lima , Francisco Domínguez-Adame

We analyze the effect of the non-vanishing range of electron-electron repulsion on the mechanism of unconventional superconductivity. We present asymptotically exact weak-coupling results for dilute electrons in the continuum and for the 2D…

Superconductivity · Physics 2012-09-13 S. Raghu , E. Berg , A. V. Chubukov , S. A. Kivelson

In narrow-band conductors a weakly screened Coulomb interelectron repulsion can supress narrow-band electrons' hopping, resulting in formation of a ``frozen'' electron phase which differs principally from any known macroscopic…

Strongly Correlated Electrons · Physics 2009-10-31 A. A. Slutskin , V. V. Slavin , H. A. Kovtun
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