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The exchange contribution, $\Pi_1 ({\bf k}, 0)$, to the static dielectric function in the electron liquid is evaluated exactly. Expression for it is derived analytically in terms of one quadrature. The expression, as presented in Eq. (3) in…

Strongly Correlated Electrons · Physics 2016-01-08 Zhixin Qian

Within generalized linear response theory, an expression for the dielectric function is derived which is consistent with standard approaches to the electrical dc conductivity. Explicit results are given for the first moment Born…

Plasma Physics · Physics 2008-02-03 G. Roepke

A novel dielectric scheme is proposed for strongly coupled electron liquids that handles quantum mechanical effects beyond the random phase approximation level and treats electronic correlations within the integral equation theory of…

Statistical Mechanics · Physics 2023-04-12 Panagiotis Tolias , Federico Lucco Castello , Tobias Dornheim

An explicitly orbital-dependent correlation energy functional is proposed, which is to be used in combination with the orbital-dependent exchange energy functional in energy-band calculations. It bears a close resemblance to the…

Strongly Correlated Electrons · Physics 2009-11-10 Masahiko Higuchi , Hiroshi Yasuhara

The exact wave functions, which describe the states of an electron, bound in the image potential, and the magnetic field, which is perpendicular to surface of a metal, are obtained. The correction terms to the energy of an electron in the…

Quantum Physics · Physics 2015-02-24 P. A. Golovinski , M. A. Preobrazhenskiy

The contribution of the electron-electron interaction to conductivity is analyzed step by step in gated GaAs/InGaAs/GaAs heterostructures with different starting disorder. We demonstrate that the diffusion theory works down to $k_F l\simeq…

Disordered Systems and Neural Networks · Physics 2008-12-02 G. M. Minkov , O. E. Rut , A. V. Germanenko , A. A. Sherstobitov , V. I. Shashkin , O. I. Khrykin , B. N. Zvonkov

The form of an effective electron-electron interaction in a quantum wire with a large static dielectric constant is determined and the resulting properties of the electron liquid in such a one-dimensional system are described. The exchange…

Strongly Correlated Electrons · Physics 2009-10-31 K. Byczuk , T. Dietl

Recent molecular simulation and integral equation results alkali-halide ion pair potentials-of-mean-force in water are discussed. Dielectric model calculations are implemented to check that these models produce that characteristic structure…

chem-ph · Physics 2008-02-03 Lawrence R. Pratt , Gerhard Hummer , Angel E. Garcia

The Thomas-Fermi (TF) approximation for the static dielectric constant of a three-dimensional electron liquid can be derived from minimizing the TF local-density approximation for the kinetic-energy functional. Here we show that this…

Materials Science · Physics 2009-11-11 A. P. Favaro , Joao Vitor Batista Ferreira , K. Capelle

We have investigated the imaginary part of the dielectric function Im(epsilon) of the (113) 3x2 ADI reconstructed surface of silicon. The calculations have been performed for a periodic slab within the plane-wave pseudopotential approach to…

Materials Science · Physics 2007-05-23 Katalin Gaal-Nagy , Giovanni Onida

In the first order of the perturbation theory, the correction to the electronic terms of a diatomic molecule is calculated taking into account the Pauli principle.

Mesoscale and Nanoscale Physics · Physics 2021-02-09 Vladimir Koshcheev , Yuriy Shtanov

Improved computation of the dielectric function considering excitonic effects and long wavelength is performed and compared with the nearly free electron band approximation, similarly with the Penn's model case. New expressions for the real…

Strongly Correlated Electrons · Physics 2016-06-29 Diego Julio Cirilo-Lombardo

A general approach to calculate the diabatic surfaces for electron-transfer reactions is presented, based on first-principles molecular dynamics of the active centers and their surrounding medium. The excitation energy corresponding to the…

Materials Science · Physics 2009-11-11 P. H. -L. Sit , Matteo Cococcioni , Nicola Marzari

Ab initio calculation of dielectric response with high-accuracy electronic structure methods is a long-standing problem, for which mean-field approaches are widely used and electron correlations are mostly treated via approximated…

Chemical Physics · Physics 2024-06-25 Xiang Li , Yubing Qian , Ji Chen

The first-order interaction correction to the irreducible polarization function of pristine graphene is studied at arbitrary relation between momentum and frequency. The results are used to calculate the dielectric function and the…

Mesoscale and Nanoscale Physics · Physics 2012-09-20 Inti Sodemann , Michael M. Fogler

We propose an analytical model based on diffusion-reaction equation approach for electrochemical electron transfer reaction, where the rate is limited by the electron transfer process. The electron transfer from an ion in solution to the…

Other Condensed Matter · Physics 2015-05-29 Aniruddha Chakraborty

The strongly coupled electron liquid provides a unique opportunity to study the complex interplay of strong coupling with quantum degeneracy effects and thermal excitations. To this end, we carry out extensive \textit{ab initio} path…

Computational Physics · Physics 2020-02-05 Tobias Dornheim , Travis Sjostrom , Shigenori Tanaka , Jan Vorberger

We present an algorithm to calculate the linear response of periodic systems in the time-dependent density functional thoery, using a real-space representation of the electron wave functions and calculating the dynamics in real time. The…

Condensed Matter · Physics 2009-02-05 G. F. Bertsch , J. -I. Iwata , Angel Rubio , K. Yabana

A non-empirical exchange functional based on an interpolation between two limits of electron density: slowly varying limit and asymptotic limit, is proposed. In the slowly varying limit, we follow the study by Kleinman in 1984 which…

Materials Science · Physics 2020-08-04 Teepanis Chachiyo , Hathaithip Chachiyo

The effect of the exchange-correlation potential in ab initio electron transport calculations is investigated by constructing optimized effective potentials (OEP) using different energy functionals or the electron density from second-order…

Mesoscale and Nanoscale Physics · Physics 2009-08-23 San-Huang Ke , Harold U. Baranger , Weitao Yang
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