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相关论文: Cumulant expansion for phonon contributions to the…

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The interaction of electrons with crystal lattice vibrations (phonons) and collective charge-density fluctuations (plasmons) influences profoundly the spectral properties of solids revealed by photoemission spectroscopy experiments.…

材料科学 · 物理学 2018-07-24 Fabio Caruso , Carla Verdi , Feliciano Giustino

Cluster perturbation theory in combination with the Lanczos method is used to compute the one-electron spectral function of the Holstein polaron in one and two dimensions. It is shown that the method allows reliable calculations using…

强关联电子 · 物理学 2007-06-13 Martin Hohenadler , Markus Aichhorn , Wolfgang von der Linden

In this work we investigate the ability of the cumulant expansion (CE) to capture one-particle spectral information in electron-phonon coupled systems at both zero and finite temperatures. In particular, we present a comprehensive study of…

化学物理 · 物理学 2022-06-09 Paul J. Robinson , Ian S. Dunn , David R. Reichman

A new cumulant-based $GW$ approximation for the retarded one-particle Green's function is proposed, motivated by an exact relation between the improper Dyson self-energy and the cumulant generating function. Qualitative aspects of this…

强关联电子 · 物理学 2016-09-21 Matthew Z. Mayers , Mark S. Hybertsen , David R. Reichman

We simulate spectral functions for electron-phonon coupling in a filled band system - far from the asymptotic limit often assumed where the phonon energy is very small compared to the Fermi energy in a parabolic band and the Migdal theorem…

强关联电子 · 物理学 2011-09-12 C. N. Veenstra , G. L. Goodvin , M. Berciu , A. Damascelli

The cumulant expansion is a powerful approach for including correlation effects in electronic structure calculations beyond the GW approximation. However, current implementations are incomplete since they ignore terms that lead to partial…

强关联电子 · 物理学 2014-02-04 J. J. Kas , J. J. Rehr , L. Reining

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…

强关联电子 · 物理学 2021-10-08 R. D. Nesselrodt , J. K. Freericks

We assess the accuracy of the cumulant expansion (CE) method, combined with the independent-particle approximation (IPA), for calculating charge mobility in electron-phonon systems. As representative testbeds, we consider the Peierls and…

强关联电子 · 物理学 2026-04-22 Petar Mitrić , Veljko Janković , Darko Tanasković , Nenad Vukmirović

We use both a perturbative Green's function analysis and standard perturbative quantum mechanics to calculate the decrease in energy and the effective mass for an electron interacting with acoustic phonons. The interaction is between the…

强关联电子 · 物理学 2011-02-11 Zhou Li , Carl J. Chandler , F. Marsiglio

An ab initio method for calculating electron-phonon coupling parameters is presented. The method is an extension of the plane-wave-based linear-response method for the calculation of lattice dynamics. Results for the mass enhancement…

mtrl-th · 物理学 2009-10-28 Amy Y. Liu , Andrew A. Quong

Eliashberg theory generalized for the account of the electron-hole nonequivalence and electron correlations in the vertex function is used. The phonon contribution to the nodal electron Green function in cuprates is viewed. At non- zero…

超导电性 · 物理学 2015-05-19 E. A. Mazur

Spectral functions are important quantities that contain a wealth of information about the quasiparticles of a system, and that can also be measured experimentally. For systems with electron-phonon coupling, good approximations for the…

强关联电子 · 物理学 2023-09-20 Alberto Nocera , Mona Berciu

The electromagnetic Green's function is a crucial ingredient for the theoretical study of modern photonic quantum devices, but is often difficult or even impossible to calculate directly. We present a numerically efficient framework for…

介观与纳米尺度物理 · 物理学 2026-04-15 Robert Meiners Fuchs , Juanjuan Ren , Stephen Hughes , Marten Richter

We examine the range of validity of the second-order cumulant expansion (CE) for the calculation of spectral functions, quasiparticle properties, and mobility of the Holstein polaron. We devise an efficient numerical implementation that…

强关联电子 · 物理学 2023-05-01 Petar Mitrić , Veljko Janković , Nenad Vukmirović , Darko Tanasković

We present a workflow of practical calculations of electron-phonon (e-ph) coupling with many-electron correlation effects included using the GW perturbation theory (GWPT). This workflow combines BerkeleyGW, ABINIT, and EPW software packages…

材料科学 · 物理学 2024-09-20 Zhenglu Li , Gabriel Antonius , Yang-Hao Chan , Steven G. Louie

We present a perturbative method for calculating phonon properties of an insulator in the presence of a finite electric field. The starting point is a variational total-energy functional with a field-coupling term that represents the effect…

材料科学 · 物理学 2009-12-17 Xinjie Wang , David Vanderbilt

The phonon spectral function of the one-dimensional Holstein model is obtained within weak and strong-coupling approximations based on analytical self-energy calculations. The characteristic excitations found in the limit of small…

强关联电子 · 物理学 2007-05-23 J Loos , M Hohenadler , A Alvermann , H Fehske

We present a method for solving impurity models with electron-phonon coupling, which treats the phonons efficiently and without approximations. The algorithm is applied to the Holstein-Hubbard model in the dynamical mean field…

强关联电子 · 物理学 2009-11-13 Philipp Werner , Andrew J. Millis

I present results from an approach that extends the Eliashberg theory by systematic expansion in the vertex function; an essential extension at large phonon frequencies, even for weak coupling. In order to deal with computationally…

超导电性 · 物理学 2009-01-09 J. P. Hague

We present a novel, highly efficient yet accurate analytical approximation for the Green's function of a Holstein polaron. It is obtained by summing all the self-energy diagrams, but with each self-energy diagram averaged over the momenta…

强关联电子 · 物理学 2009-11-11 Glen L. Goodvin , Mona Berciu , George A. Sawatzky
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