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Related papers: Sum rules and vertex corrections for electron-phon…

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The f-sum rule is introduced and its applications to electronic and vibrational modes are discussed. A related integral over the intra-band part of sigma(omega) which is also valid for correlated electrons, becomes just the kinetic energy…

Strongly Correlated Electrons · Physics 2007-05-23 D. van der Marel

There is increasing interest in many-body perturbation theory as a practical tool for the calculation of ground-state properties. As a consequence, unambiguous sum rules such as the conservation of particle number under the influence of the…

Materials Science · Physics 2007-05-23 Arno Schindlmayr , P. Garcia-Gonzalez , R. W. Godby

We investigate the many-body properties of graphene on top of a piezoelectric substrate, focusing on the interaction between the graphene electrons and the piezoelectric acoustic phonons. We calculate the electron and phonon self-energies…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 D. G. González , I. Zapata , J. Schiefele , F. Sols , F. Guinea

We extend QCD sum rule analysis to moderate energy fixed angle Compton scattering. In this kinematic region there is a strong similarity to the sum rule treatment of electromagnetic form factors, although the four-point amplitude requires a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Claudio Coriano' , Anatoly Radyushkin , George Sterman

A model of alloy is considered which includes both quenched disorder in the electron subsystem (``alloy'' subsystem) and electron-phonon interaction. For given approximate solution for the alloy part of the problem, which is assumed to be…

Superconductivity · Physics 2015-06-25 A. O. Anokhin , M. I. Katsnelson

We study theoretically phonon-assisted relaxation processes in a system consisting of one or two electrons confined in two vertically stacked self-assembled quantum dots. The calculation is based on a k.p approximation for single particle…

Mesoscale and Nanoscale Physics · Physics 2010-09-14 Krzysztof Gawarecki , Michał Pochwała , Anna Grodecka-Grad , Paweł Machnikowski

We develop a fermi-bose bootstrap embedding (fb-BE) framework for the ground state of interacting elec- trons coupled to phonon mean field. The method combines bootstrap embedding for correlated electrons with a self-consistent…

Strongly Correlated Electrons · Physics 2026-03-31 Shariful Islam , Joel Bierman , Yuan Liu

There is presently a great interest in studying static and dynamic properties of highly charged ions that can be produced in large particle accelerators, like that at GSI in Darmstadt. To perform corresponding theoretical calculations with…

Quantum Physics · Physics 2011-07-26 Ingvar Lindgren

Using a functional renormalization group method, we obtain the phase diagram of the two-leg ladder system within the Holstein-Hubbard model, which includes both electron-electron and electron-phonon interactions. Our renormalization group…

Strongly Correlated Electrons · Physics 2007-10-30 Ka-Ming Tam , S. -W. Tsai , D. K. Campbell , A. H. Castro Neto

We describe an approach for calculations of phonon contributions to the electron spectral function, including both quasiparticle properties and satellites. The method is based on a cumulant expansion for the retarded one-electron Green's…

Materials Science · Physics 2015-06-22 S. M. Story , J. J. Kas , F. D. Vila , M. J. Verstraete , J. J. Rehr

We derive spectral sum rules in the shear channel for conformal field theories at finite temperature in general $d\geq 3$ dimensions. The sum rules result from the OPE of the stress tensor at high frequency as well as the hydrodynamic…

High Energy Physics - Theory · Physics 2017-12-12 Subham Dutta Chowdhury , Justin R. David , Shiroman Prakash

We demonstrate the ability to calculate electromagnetic sum rules with the \textit{ab initio} symmetry-adapted no-core shell model. By implementing the Lanczos algorithm, we compute non-energy weighted, energy weighted, and inverse energy…

Nuclear Theory · Physics 2020-07-28 R. B. Baker , K. D. Launey , S. Bacca , N. Nevo Dinur , T. Dytrych

The nonperturbative $Q^2$- dependence of the sum rules for the structure functions of polarized $e(\mu)N$ scattering is discussed. The determination of twist-4 corrections to the structure functions at high $Q^2$ by QCD sum rules is…

High Energy Physics - Phenomenology · Physics 2011-04-15 B. L. Ioffe

We discuss the effect of electron-electron interactions on the static polarization properties of graphene beyond RPA. Divergent self-energy corrections are naturally absorbed into the renormalized coupling constant $\alpha$. We find that…

Strongly Correlated Electrons · Physics 2008-07-18 Valeri N. Kotov , Bruno Uchoa , A. H. Castro Neto

Sum rules -- relating the static quark potential V(R) to the spatial distribution of the action and energy in the colour fields of flux-tubes -- are applied in three ways: 1) To extract generalised beta-functions: 2) As a consistency check…

High Energy Physics - Lattice · Physics 2007-05-23 A. M. Green , P. S. Spencer , C. Michael

The redistribution of electrons in an ultrafast pump-probe experiment causes significant changes to the effective interaction between electrons and bosonic modes. We study the influence of these changes on pump-probe photoemission…

Mesoscale and Nanoscale Physics · Physics 2014-08-25 A. F. Kemper , M. A. Sentef , B. Moritz , J. K. Freericks , T. P. Devereaux

The importance of the nonlinear corrections on the momentum sum rule is investigated on the initial scale $Q_{0}^2$. Nonlinear corrections are found to play an indispensable role in the singlet and gluon momentum sum rule in the high-order…

High Energy Physics - Phenomenology · Physics 2024-08-20 G. R. Boroun

The response part of the exchange-correlation potential of Kohn-Sham density functional theory plays a very important role, for example for the calculation of accurate band gaps and excitation energies. Here we analyze this part of the…

Chemical Physics · Physics 2018-08-29 Sara Giarrusso , Paola Gori-Giorgi , Klaas J. H. Giesbertz

We investigate quantum corrections to the conductivity due to the interference of electron-electron (electron-phonon) scattering and elastic electron scattering in weakly disordered conductors. The electron-electron interaction results in a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Sergeev , M. Yu. Reizer , V. Mitin

We analyze the ground-state properties of strongly-correlated electrons coupled with phonons by means of a generalized Gutzwiller wavefunction which includes phononic degrees of freedom. We study in detail the paramagnetic half-filled…

Strongly Correlated Electrons · Physics 2008-07-29 P. Barone , R. Raimondi , M. Capone , C. Castellani , M. Fabrizio