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Using an accurate semi-analytic wavefunction for two electron atoms, we construct the external potential for varying strength of electron-electron (e-e) interaction. Using this potential we explicitly calculate the energy of their positive…

Atomic and Molecular Clusters · Physics 2016-02-18 Rabeet Singh Chauhan , Manoj K. Harbola

We investigate the interplay between the electron-electron and the electron-phonon interaction in the Hubbard-Holstein model. We implement the flow-equation method to investigate within this model the effect of correlation on the…

Strongly Correlated Electrons · Physics 2009-11-11 G. Aprea , C. Di Castro , M. Grilli , J. Lorenzana

In most cases, as the strength of electron-phonon coupling increases, the effective mass of polarons typically increases. However, in this paper, we uncover a fascinating phenomenon: the presence of light polarons even within the strong…

Strongly Correlated Electrons · Physics 2024-04-10 Chao Zhang

For a three-electron system with finite-strength interactions confined to a one-dimensional harmonic trap, we solve the Schroedinger equation analytically to obtain the exact solutions, from which we construct explicitly the simultaneous…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 Taichi Kosugi , Yu-ichiro Matsushita

The effective potential of electron--electron interaction and the two-particle \textquotedblleft density--density\textquotedblright\ correlation function have been calculated for a simple semiinfinite metal making allowance for the…

Mesoscale and Nanoscale Physics · Physics 2015-03-29 B. M. Markovych , I. M. Zadvorniak

We present a comprehensive ab initio study of the influence of band structure corrections, particularly the electron effective mass, on the phonon-limited electron drift and Hall mobilities of GaAs. Our approach is based on the DFT+$U$…

By introducing a phase field and solving the eigen-functional equation of particles, we obtain the exact expressions of the ground state energy as a functional of the particle density for interacting electron/boson systems, and a…

Strongly Correlated Electrons · Physics 2007-05-23 Yu-Liang Liu

Recent work on an electron-phonon model in two-dimensions is reviewed and some new results are presented. We utilize both Quantum Monte Carlo simulations and Migdal-Eliashberg theory. The type of electron-ion coupling considered is on-site.…

Superconductivity · Physics 2021-01-29 F. Marsiglio

With the eigenfunctional theory, we study a general interacting electron system, and give a rigorous expression of its ground state energy which is composed of two parts, one part is contributed by the non-interacting electrons, and another…

Materials Science · Physics 2007-12-07 Yu-Liang Liu

A contribution of the electron-phonon interaction into the energy of a unidirectional charge ordered state (stripe phase) of two-dimensional electrons in GaAs heterostructures is analyzed. The dependence of the energy on the direction of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. V. Fil

Electron-phonon interaction and related self-energy are fundamental to both the equilibrium properties and non-equilibrium relaxation dynamics of solids. Although electron-phonon interaction has been suggested by various time-resolved…

Mesoscale and Nanoscale Physics · Physics 2023-05-09 Hongyun Zhang , Changhua Bao , Michael Schüler , Shaohua Zhou , Qian Li , Laipeng Luo , Wei Yao , Zhong Wang , Thomas P. Devereaux , Shuyun Zhou

We present numerical calculations of the electron effective mass in an interacting, ferromagnetic, two-dimensional electron system. We consider quantum interaction effects associated with the charge-density fluctuation induced many-body…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Reza Asgari , T. Gokmen , B. Tanatar , Medini Padmanabhan , M. Shayegan

One of the challenges in many-body physics is determining the effects of phonons on strongly correlated electrons. The difficulty arises from strong correlations at differing energy scales -- for band metals, Migdal-Eliashberg theory…

Strongly Correlated Electrons · Physics 2021-10-08 R. D. Nesselrodt , J. K. Freericks

A nonperturbative numerical evaluation of the one-photon electron self energy for the K- and L-shell states of hydrogenlike ions with nuclear charge numbers Z=1 to 5 is described. Our calculation for the 1S state has a numerical uncertainty…

Atomic Physics · Physics 2008-12-18 U. D. Jentschura , P. J. Mohr , G. Soff

We present an approach for self-consistent calculations of the many-body Green function in transition metals. The distinguishing feature of our approach is the use of the one-site approximation and the self-consistent quasiparticle wave…

Strongly Correlated Electrons · Physics 2009-11-07 N. E. Zein , V. P. Antropov

The effect of strong magnetic fields parallel to GaAs/AlGaAs interface on the subband structure of a 2D electron layer is ivestigated theoretically. The system with two levels occupied in zero magnetic field is considered and the magnetic…

Condensed Matter · Physics 2009-10-22 T. Jungwirth , L. Smrcka

We calculate the quasiparticle effective mass for the electron gas in two and three dimensions in the metallic region. We employ the single particle scattering potential coming from the Sj\"{o}lander-Stott theory and enforce the Friedel sum…

Condensed Matter · Physics 2009-10-28 Andrey Krakovsky , J. K. Percus

We have found that Fermi contours of a two-dimensional electron gas at $\rmGaAs/Al_xGa_{1-x}As$ interface deviate from a standard circular shape under the combined influence of an approximately triangular confining potential and the strong…

Condensed Matter · Physics 2009-10-28 L. Smrcka , P. Vasek , J. Kolacek , T. Jungwirth , M. Cukr

State-of-the-art approaches to calculate the electron-phonon and the phonon-electron self-energy are based on a mean-field approximation for the interacting electronic system. This approach introduces an overscreening error which results in…

Materials Science · Physics 2023-11-17 Fulvio Paleari , Andrea Marini

In this work we analise the electrostatic self-energy and self-force on a point-like electric charged particle induced by a global monopole spacetime considering a inner structure to it. In order to develop this analysis we calculate the…

High Energy Physics - Theory · Physics 2011-02-09 D. Barbosa , J. Spinelly , E. R. Bezerra de Mello