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First-principles calculations of $e$-ph interactions are becoming a pillar of electronic structure theory. However, the current approach is incomplete. The piezoelectric (PE) $e$-ph interaction, a long-range scattering mechanism due to…

Materials Science · Physics 2020-09-30 Vatsal A. Jhalani , Jin-Jian Zhou , Jinsoo Park , Cyrus E. Dreyer , Marco Bernardi

Understanding of the energy exchange between electrons and phonons in metals is important for micro- and nano-manufacturing and system design. The electron-phonon (e-ph) coupling constant is to describe such exchange strength, yet its…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 Wuli Miao , Moran Wang

We present a first-principles framework to investigate the electron scattering channels and transport properties for polar material by combining the exact solution of linearized electron-phonon (e-ph) Boltzmann transport equation in its…

Materials Science · Physics 2017-02-22 Te-Huan Liu , Jiawei Zhou , Bolin Liao , David J. Singh , Gang Chen

We present a first-principles approach to compute the transport properties of 2D materials in an accurate and automated framework. We use density-functional perturbation theory in the appropriate bidimensional setup with open-boundary…

Materials Science · Physics 2018-12-05 Thibault Sohier , Davide Campi , Nicola Marzari , Marco Gibertini

Superconducting systems based on attractive electron-phonon interactions are the ones which are best understood at a fundamental level. They are well described using Eliashberg theory, which, unlike BCS theory, explicitly takes into account…

Superconductivity · Physics 2025-05-28 Ingvar Zappacosta , Matthew Houtput , Jacques Tempere

We present a study of the superconducting transition in MgB2 using the ab-initio pseudopotential density functional method and the fully anisotropic Eliashberg equation. Our study shows that the anisotropic Eliashberg equation, constructed…

Superconductivity · Physics 2009-02-05 Hyoung Joon Choi , David Roundy , Hong Sun , Marvin L. Cohen , Steven G. Louie

The principal paradigm for determining the thermoelectric properties of materials is based on the Boltzmann transport equations (BTEs) or Landauer equivalent. These equations depend on the electron and phonon density of states (e-DOS and…

Computational Physics · Physics 2024-11-05 J. A. Worden , M. R. von Spakovsky , C. Hin

Electron-phonon interactions (EPIs) represent a fundamental cornerstone of condensed matter physics, commanding persistent attention due to their pivotal role in driving novel quantum phenomena within low-dimensional materials. Here, we…

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

The simple microscopic model for the high-T_{C} superconductors based on the electron-phonon (EPH) and electron-electron-phonon (EEPH) interactions has been presented. On the {\it fold} mean-field level, it has been shown, that the obtained…

Superconductivity · Physics 2012-04-23 R. Szczesniak

We present a fully ab initio based scheme to compute transport properties, i.e. the electrical conductivity {\sigma} and thermopower S, in the presence of electron-phonon interaction. Therefore, we explicitly investigate the k-dependent…

Materials Science · Physics 2017-07-04 Florian Rittweger , Nicki Frank Hinsche , Ingrid Mertig

The strong coupling Eliashberg theory plus vertex correction is used to calculate maps of transition temperature (Tc) in parameter-space characterizing superconductivity. Based on these Tc maps, crossover behaviors are found when…

Superconductivity · Physics 2010-03-31 W. Fan

The mechanism of heat transfer and the contribution of electron-phonon coupling to thermal conductance of a metal-semiconductor interface remains unclear in the present literature. We report ab initio simulations of a technologically…

Materials Science · Physics 2015-04-07 Sridhar Sadasivam , Umesh V. Waghmare , Timothy S. Fisher

We describe a theoretical and computational approach to calculate the vibrational, elastic, and thermal properties of materials from the low-temperature quantum regime to the high-temperature anharmonic regime. This approach is based on…

Materials Science · Physics 2024-09-20 Dylan A. Folkner , Zekun Chen , Giuseppe Barbalinardo , Florian Knoop , Davide Donadio

The effective attractive interaction between electrons, mediated by electron-phonon coupling, is a well-established mechanism of conventional superconductivity. In metals exhibiting a Fermi surface, the critical temperature of…

Superconductivity · Physics 2018-12-03 R. Ojajärvi , T. Hyart , M. Silaev , T. T. Heikkilä

First-principles investigations of electron-phonon interactions (EPIs) play a crucial role in understanding a wide range of phenomena in physics and materials science. Among various approaches, the finite difference method offers a direct…

Materials Science · Physics 2026-02-27 Zun Wang , Wenhui Duan , Zuzhang Lin

Ultrafast thermal transport in low-dimensional materials challenges traditional diffusive models due to reduced scattering, strong electron-phonon coupling, and pronounced non-equilibrium effects. To address these complexities, we extend…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Houssem Rezgui , Chuang Zhang , Clivia Sotomayor-Torres

First-principles calculations can accurately describe electron-phonon (e-ph) interactions and electronic transport in a wide range of materials, but are currently limited to unit cells with up to $\sim$100 atoms due to computational cost.…

Materials Science · Physics 2026-03-17 David J. Abramovitch , Marco Bernardi

The strong-coupling Eliashberg theory plus vertex correction is used to calculate the maps of transition temperature (Tc) in parameter-space characterizing superconductivity. Based on these Tc maps, complex crossover behaviors are found…

Superconductivity · Physics 2010-09-15 Wei Fan

In this work, we use a combination of first-principles calculations under the density functional theory framework and heat transport simulations using the atomistic Green's function (AGF) method to quantitatively predict the contribution of…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Sridhar Sadasivam , Ning Ye , James Charles , Kai Miao , Joseph P. Feser , Tillmann Kubis , Timothy S. Fisher