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We introduce a description of sound waves using the phonon field equivalent to a 4 dimensional second-rank tensor of distortion similar to electromagnetic waves, which are described by a 4-vector of the electromagnetic field. The exact wave…

Other Condensed Matter · Physics 2015-09-16 Alexander Braginsky

We consider an electron-phonon system in two and three dimensions on square, hexagonal and cubic lattices. The model is a modification of the standard Holstein model where the optical branch is appropriately curved in order to have a…

Statistical Mechanics · Physics 2009-10-31 N. Macris , C. -A. Piguet

Kohn anomalies in three-dimensional metallic crystals are dips in the phonon dispersion that are caused by abrupt changes in the screening of the ion-cores by the surrounding electron-gas. These anomalies are also present at the…

Mesoscale and Nanoscale Physics · Physics 2013-11-19 F. Forster , A. Molina-Sanchez , S. Engels , A. Epping , K. Watanabe , T. Taniguchi , L. Wirtz , C. Stampfer

In their work, Yan et al. [Phys. Rev. B 88, 121403 (2013)] employing density functional perturbation theory (DFPT) calculations, demonstrate that silicene and germanene show weaker Kohn anomalies in the $\Gamma$-$E_g$ and $K$-$A_1$ phonon…

Materials Science · Physics 2017-07-27 M. E. Cifuentes-Quintal , O. de la Peña-Seaman , R. de Coss

The properties of the phonon-induced interaction between electrons are studied using the local density approximation (LDA). Restricting the electron momenta to the Fermi surface we find generally that this interaction has a pronounced peak…

Superconductivity · Physics 2015-05-14 Rolf Heid , Roland Zeyher , Dirk Manske , Klaus-Peter Bohnen

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…

Strongly Correlated Electrons · Physics 2011-09-12 C. N. Veenstra , G. L. Goodvin , M. Berciu , A. Damascelli

Kohn anomalies are kinks or dips in phonon dispersions which are pronounced in low-dimensional materials. We investigate the effects of non-adiabatic phonon self-energy on Kohn anomalies in one-dimensional metals by developing a model that…

Materials Science · Physics 2025-12-22 Enrico Marazzi , Samuel Poncé , Jean-Christophe Charlier , Gian-Marco Rignanese

In previous theoretical studies of phonon-mediated superconductors, the electron-phonon coupling is treated by solving the Migdal-Eliashberg equations under the bare vertex approximation, whereas the effect of Coulomb repulsion is…

Superconductivity · Physics 2023-10-24 Jie Huang , Zhao-Kun Yang , Xiao-Yin Pan , Guo-Zhu Liu

We study how phonon structure manifests itself in the electronic density of states of graphene. A procedure for extracting the value of the electron-phonon renormalization $\lambda$ is developed. In addition, we identify direct phonon…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. J. Nicol , J. P. Carbotte

We consider models of heavy fermions in the strong coupling or local moment limit and include phonon degrees of freedom on the conduction electrons. Due to the large mass or low coherence temperature of the heavy fermion state, it is shown…

Strongly Correlated Electrons · Physics 2010-03-02 M. Raczkowski , P. Zhang , F. F. Assaad , T. Pruschke , M. Jarrell

The two-dimensional mapping of the phonon dispersions around the $K$ point of graphite by inelastic x-ray scattering is provided. The present work resolves the longstanding issue related to the correct assignment of transverse and…

Strongly Correlated Electrons · Physics 2015-05-13 A. Grüneis , J. Serrano , A. Bosak , M. Lazzeri , S. L. Molodtsov , L. Wirtz , C. Attaccalite , M. Krisch , A. Rubio , F. Mauri , T. Pichler

Two-dimensional metal-halide perovskites are highly versatile for light-driven applications due to their exceptional variety in material composition, which can be exploited for tunability of mechanical and optoelectronic properties. The…

Materials Science · Physics 2024-07-25 Roman Krahne , Alexander Schleusener , Mehrdad Faraji , Lin-Han Li , Miao-Ling Lin , Ping-Heng Tan

An accurate and consistent theory of phonons in metals requires that all long-range Coulomb interactions between charged particles (electrons and ions) be treated on equal footing. So far, all attempts to deal with this non-perturbative…

Strongly Correlated Electrons · Physics 2016-11-02 Igor S. Tupitsyn , Andrey S. Mishchenko , Naoto Nagaosa , Nikolay Prokof'ev

We study the second-order polaronic resonance between 2-LO-phonon states and p-shell electron states in a quantum dot. We show that the spectrum in the resonance area can be quantitatively reproduced by a theoretical model using only…

Mesoscale and Nanoscale Physics · Physics 2010-09-14 Piotr Kaczmarkiewicz , Paweł Machnikowski

Photoemission and phonon spectroscopies have yielded widely varying estimates of the electron-phonon coupling constant \lambda\ on the surfaces of topological insulators, even for a particular material and technique. We connect the results…

Mesoscale and Nanoscale Physics · Physics 2014-02-27 Colin Howard , M. El-Batanouny

Migdal-Eliashberg theory describes the properties of the normal and superconducting states of electron-phonon mediated superconductors based on a perturbative treatment of the electron-phonon interactions. It is necessary to include both…

Superconductivity · Physics 2021-01-27 Benjamin Nosarzewski , Michael Schueler , Thomas P. Devereaux

We propose an analytical procedure to fully solve a two-level system coupled to phonons. Instead of using the common formulation in terms of linear and quadratic system-phonon couplings, we introduce different phonons depending on the…

Quantum Physics · Physics 2019-01-10 Aurélia Chenu , Shiue-Yuan Shiau , Monique Combescot

The electron-phonon coupling in potassium-doped graphene on Ir(111) is studied via the renormalization of the pi* band near the Fermi level, using angle-resolved photoemission spectroscopy. The renormalization is found to be fairly weak and…

Mesoscale and Nanoscale Physics · Physics 2010-01-26 M. Bianchi , E. D. L. Rienks , S. Lizzit , A. Baraldi , R. Balog , L. Hornekaer , Ph. Hofmann

After theoretical determination of the internal structural coordinates in Li$_2$Pd$_3$B, we calculate and analyze its electronic structure and obtain the frequencies of the two $A_g$ phonons (40.6 meV for nearly pure Li mode, 13.0 meV for…

Superconductivity · Physics 2007-05-23 K. -W. Lee , W. E. Pickett

Dynamical mean-field theory computations of the electron self energy of the Hubbard-Holstein model as a function of electron-phonon and electron-electron interactions are analyzed to gain insight into the dependence of electron-phonon…

Strongly Correlated Electrons · Physics 2025-05-14 Jennifer Coulter , Andrew J. Millis