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Related papers: Electron-phonon coupling as an order-one problem

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Strong electron-electron interactions are known to significantly modify the electron-phonon coupling relative to the predictions of density functional theory, but this effect is challenging to calculate with realistic theories of strongly…

Strongly Correlated Electrons · Physics 2025-07-21 David J. Abramovitch , Jennifer Coulter , Sophie Beck , Andrew Millis

The theory of Raman scattering by the electron--phonon coupled system in metals and heavily doped semiconductors is developed taking into account the Coulomb screening and the electron--phonon deformation interaction. The Boltzmann equation…

Materials Science · Physics 2009-11-10 L. Falkovsky

Density functional theory is generalized to incorporate electron-phonon coupling. A Kohn-Sham equation yielding the electronic density $n_U(\mathbf{r})$, a conditional probability density depending parametrically on the phonon normal mode…

Materials Science · Physics 2019-04-25 Ryan Requist , C. R. Proetto , E. K. U. Gross

Electron and phonon correlations in systems of one-dimensional electrons coupled to phonons are studied at low temperatures by emphasizing on the effect of electron-phonon backward scattering. It is found that the $2k_F$-wave components of…

Strongly Correlated Electrons · Physics 2009-11-13 Leiming Chen

We show an efficient way to compute the electron-phonon coupling constant, $\lambda$, and the superconducting transition temperature, Tc from first-principles calculations. This approach gives rapid convergence of Tc with respect to the…

Superconductivity · Physics 2017-10-11 Takashi Koretsune , Ryotaro Arita

Electron-phonon coupling (EPC) plays an important role in many fundamental physical phenomena, but the high computational cost of the EPC matrix hinders the theoretical research on them. In this paper, an analytical formula is derived to…

Computational Physics · Physics 2023-02-02 Yang Zhong , Zhiguo Tao , Weibin Chu , Xingao Gong , Hongjun Xiang

We investigate electron-phonon coupling in the molecular crystals CH$_4$, NH$_3$, H$_2$O, and HF, using first-principles quantum mechanical calculations. We find vibrational corrections to the electronic band gaps at zero temperature of…

Materials Science · Physics 2015-10-28 Bartomeu Monserrat , Edgar A. Engel , Richard J. Needs

Electron-phonon coupling (EPC) is key for understanding many properties of materials such as superconductivity and electric resistivity. Although first principles density-functional-theory (DFT) based EPC calculations are used widely, their…

A rate equation formalism is used to determine the effect of electron-phonon coupling on the conductance of a molecule. Interplay between the phonon-induced renormalization of the density of states on the quantum dot and the phonon-induced…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Mitra , I. Aleiner , A. J. Millis

Looking for superconductors with higher transition temperature requires a guiding principle. In conventional superconductors, electrons pair up into Cooper pairs via the retarded attraction mediated by electron-phonon coupling.…

Strongly Correlated Electrons · Physics 2015-11-11 Da Wang , Wan-Sheng Wang , Qiang-Hua Wang

Electron-phonon coupling, being one of the most important parameters governing the material evolution after ultrafast energy deposition, yet remains the most unexplored one. In this work, we applied the dynamical coupling approach to…

Materials Science · Physics 2020-08-05 N. Medvedev , I. Milov

We investigate the scattering of an electron by phonons in a small structure between two one-dimensional tight-binding leads. This model mimics the quantum electron transport through atomic wires or molecular junctions coupled to metallic…

Strongly Correlated Electrons · Physics 2017-02-27 C. Brockt , E. Jeckelmann

Eliashberg - McMillan theory of superconductivity is essentially based on the adiabatic approximation. Small parameter of perturbation theory is given by $\lambda\frac{\Omega_0}{E_F}\ll 1$, where $\lambda$ is the dimensionless electron -…

Superconductivity · Physics 2019-04-08 M. V. Sadovskii

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

The polaron features due to electron-phonon interactions with different coupling ranges are investigated by adopting a variational approach. The ground-state energy, the spectral weight, the average kinetic energy, the mean number of…

Strongly Correlated Electrons · Physics 2007-05-23 C. A. Perroni , V. Cataudella , G. De Filippis , V. Marigliano Ramaglia

Coupling between electrons and phonons (lattice vibrations) drives the formation of the electron pairs responsible for conventional superconductivity. The lack of direct evidence for electron-phonon coupling in the electron dynamics of the…

A description of electron-phonon coupling at a defect or impurity is essential to characterizing and harnessing its functionality for a particular application. Electron-phonon coupling limits the amount of useful light produced by a…

Materials Science · Physics 2026-04-21 Mark E. Turiansky , John L. Lyons

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

Using a computationally inexpensive frozen phonon approach we have developed a technique which can be used to screen large unit cell materials and systems for enhanced superconducting critical temperatures. The method requires only density…

Superconductivity · Physics 2024-05-07 Oliver A. Dicks , Kateryna Foyevtsova , Ilya Elfimov , Rohit Prasankumar , George Sawatzky

This article reviews the theory of electron-phonon interactions in solids from the point of view of ab-initio calculations. While the electron-phonon interaction has been studied for almost a century, predictive non-empirical calculations…

Materials Science · Physics 2017-03-08 Feliciano Giustino
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