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Relativistic electrons experience very slight wave packet distortion and negligible momentum recoil when interacting with nanometer-sized samples, as a consequence of the ultra-short interaction time. Accordingly, modeling fast electrons as…

Optics · Physics 2023-03-15 Alessandro Ciattoni

Using the tight-binding model with long-range Coulomb interactions between electrons, we study some of the electronic properties of graphene. The Coulomb interactions are treated with the renormalized-ring-diagram approximation. By…

Strongly Correlated Electrons · Physics 2011-11-09 Xin-Zhong Yan , C. S. Ting

An accurate and consistent theory of phonons in metals requires that all long-range Coulomb interactions between charged particles (electrons and ions) be treated on equal footing. So far, all attempts to deal with this non-perturbative…

Strongly Correlated Electrons · Physics 2016-11-02 Igor S. Tupitsyn , Andrey S. Mishchenko , Naoto Nagaosa , Nikolay Prokof'ev

Calculations are presented which use the molecular R-matrix with pseudo-states (MRMPS) method to treat electron impact electron detachment and electronic excitation of the carbon dimer anion. Resonances are found above the ionisation…

Atomic Physics · Physics 2010-07-07 Gabriela Halmova , J. D. Gorfinkiel , Jonathan Tennyson

Precise control over interactions between ballistic electrons will enable us to exploit Coulomb interactions in novel ways, to develop high-speed sensing, to reach a non-linear regime in electron quantum optics and to realise schemes for…

Mesoscale and Nanoscale Physics · Physics 2022-10-10 J. D. Fletcher , W. Park , S. Ryu , P. See , J. P. Griffiths , G. A. C. Jones , I. Farrer , D. A. Ritchie , H. -S. Sim , M. Kataoka

We consider both massive Euler-Heisenberg-like and Euler-Heisenberg-like Electrodynamics in the approximation of the strong-field limit. Our analysis shows that massive Euler-Heisenberg-type Electrodynamics displays the vacuum birefringence…

High Energy Physics - Theory · Physics 2015-12-31 Patricio Gaete

Simulations of interacting electrons and bosons out of equilibrium, starting from first principles and aiming at realistic multiscale scenarios, is a grand theoretical challenge. Here, using the formalism of nonequilibrium Green's functions…

Strongly Correlated Electrons · Physics 2022-04-06 Yaroslav Pavlyukh , Enrico Perfetto , Daniel Karlsson , Robert van Leeuwen , Gianluca Stefanucci

Narrow resonances in systems with short-range interactions are discussed in an effective field theory (EFT) framework. An effective Lagrangian is formulated in the form of a combined expansion in powers of a momentum Q << Lambda--a…

Nuclear Theory · Physics 2009-11-06 Boris A. Gelman

We study the Loschmidt echo for a system of electrons interacting through mean-field Coulomb forces. The electron gas is modeled by a self-consistent set of hydrodynamic equations. It is observed that the quantum fidelity drops abruptly…

Quantum Physics · Physics 2009-11-13 G. Manfredi , P. -A. Hervieux

In this article we build a metric for a classical general relativistic electron model with QED corrections. We calculate the stress-energy tensor for the radiative corrections to the Coulomb potential in both the near-field and far-field…

General Relativity and Quantum Cosmology · Physics 2010-06-10 Ron Lenk

In singlet two-electron systems the natural occupation numbers of the one-particle reduced density matrix are given as squares of the natural amplitudes which are defined as the expansion coefficients of the two-electron wave function in a…

Atomic Physics · Physics 2013-09-13 Klaas J. H. Giesbertz , Robert van Leeuwen

We investigate the effect of the Coulomb interaction, $U_{cf}$, between the conduction and f electrons in the periodic Anderson model using the density-matrix renormalization-group algorithm. We calculate the excitation spectrum of the…

Strongly Correlated Electrons · Physics 2014-09-26 I. Hagymasi , J. Solyom , O. Legeza

Strongly correlated electron systems are a cornerstone of modern physics, being responsible for groundbreaking phenomena from superconducting magnets to quantum computing. In most cases, correlations in electrons arise exclusively due to…

Quantum Physics · Physics 2024-05-15 Suraj Kumar , Jeremy Lim , Nicholas Rivera , Wesley Wong , Yee Sin Ang , Lay Kee Ang , Liang Jie Wong

We address the issue of determining an effective two-body interaction for mean-field calculations of energies of many-body systems. We show that the effective interaction is proportional to the phase shift, and demonstrate this result in…

Other Condensed Matter · Physics 2007-05-23 A. Collin , P. Massignan , C. J. Pethick

In this work we discuss the combined effects of finite-range electron-electron interaction and finite-range tunneling on the transport properties of ultrasmall tunnel junctions. We show that the Coulomb blockade phenomenon is deeply…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 E. Perfetto

In correlated electron materials, the application of many-body techniques for the study of interaction effects or unconventional superconductivity often requires the formulation of an effective low-energy model that contains only the…

Strongly Correlated Electrons · Physics 2013-05-30 Carsten Honerkamp

We present an analysis of the two-dimensional Schrodinger equation for two electrons interacting via Coulombic force and confined in an anizotropic harmonic potential. The separable case of wy = 2wx is studied particularly carefully. The…

Quantum Physics · Physics 2017-07-17 Przemyslaw Koscik , Anna Okopinska

We describe the potential produced by a point electric charge placed into a constant magnetic field, so strong that the electron Larmour length is much shorter than its Compton length. The standard Coulomb law is modified due to the vacuum…

Astrophysics · Physics 2007-05-23 A. E. Shabad , V. V. Usov

For the family of model soft Coulomb potentials represented by V(r) = -\frac{Z}{(r^q+\beta^q)^{\frac{1}{q}}}, with the parameters Z>0, \beta>0, q \ge 1, it is shown analytically that the potentials and eigenvalues, E_{\nu\ell}, are…

Mathematical Physics · Physics 2015-05-13 Richard L. Hall , Nasser Saad , K. D. Sen , Hakan Ciftci

Charged systems interacting via Coulomb forces can be efficiently simulated by introducing a local, diffusing degree of freedom for the electric field. This paper formulates the continuum electrodynamic equations corresponding to the…

Statistical Mechanics · Physics 2009-11-07 A. C. Maggs